{"id":14782,"date":"2026-04-21T03:31:22","date_gmt":"2026-04-21T03:31:22","guid":{"rendered":"https:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/?page_id=14782"},"modified":"2026-04-21T07:10:18","modified_gmt":"2026-04-21T07:10:18","slug":"%e5%8a%9b%e5%ad%a62026","status":"publish","type":"page","link":"http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/?page_id=14782","title":{"rendered":"\u529b\u5b662026"},"content":{"rendered":"<p>\u3000\u529b\u5b66\u306e\u6388\u696d\u3067\u3059\u3002\u6559\u79d1\u66f8\u306f\uff0c\u6c38\u7530\u4e00\u6e05\u8457\u300e\u65b0\u57fa\u790e\u529b\u5b66\u300f\u30b5\u30a4\u30a8\u30f3\u30b9\u793e\u3067\u3059\u3002<\/p>\n<p>\u3000\u3053\u306e\u3046\u3061\uff0c\u7b2c\u30bc\u30ed\u7ae0\u300c\u306f\u3058\u3081\u306b\u300d\uff0c\u7b2c1\u7ae0\u300c\u904b\u52d5\u306e\u8868\u3057\u65b9\uff08\uff11\uff09\u300d\uff0c\u7b2c2\u7ae0\u300c\u904b\u52d5\u306e\u8868\u3057\u65b9\uff08\uff12\uff09\u300d\uff0c\u7b2c3\u7ae0\u300c\u529b\u3068\u904b\u52d5\u300d\uff0c\u7b2c4\u7ae0\u300c\u3044\u308d\u3044\u308d\u306a\u904b\u52d5\uff08\uff11\uff09\u300d\uff0c\u7b2c6\u7ae0\u300c\u30a8\u30cd\u30eb\u30ae\u30fc\u3068\u305d\u306e\u4fdd\u5b58\u5247\u300d\u304c\u8b1b\u7fa9\u3067\u53d6\u308a\u6271\u3046\u7bc4\u56f2\u3067\u3059\u3002<\/p>\n<p>\u3000\u4e2d\u9593\u30c6\u30b9\u30c8\uff0c\u671f\u672b\u30c6\u30b9\u30c8\uff0ce-Learning \u306e\u8ab2\u984c\u3067\u6210\u7e3e\u3092\u8a55\u4fa1\u3057\u307e\u3059\u3002\u4ee5\u4e0b\uff0c\u8b1b\u7fa9\u306e\u5185\u5bb9\u3084\u53cd\u7701\u70b9\u7b49\u3092\u66f8\u3044\u3066\u307f\u307e\u3059\u3002\u53bb\u5e74\u306e\u8a18\u4e8b\u3092\u5c11\u3057\u3065\u3064\u7de8\u96c6\u3057\u3066\u3044\u304d\u307e\u3059\u3002<\/p>\n<p><strong><span style=\"color: #ff0000;\">\uff10\u7ae0 \u306f\u3058\u3081\u306b<\/span><\/strong><\/p>\n<p><span style=\"color: #000099;\"><br \/>\n\u3000\u3053\u3053\u306f\u307b\u307c\u7701\u7565\u3002\u529b\u5b66\u306e\u6b74\u53f2\u304c\u4e3b\u306a\u5185\u5bb9\u3002\u30a2\u30ea\u30b9\u30c8\u30c6\u30ec\u30b9\u306e\u904b\u52d5\u306b\u95a2\u3059\u308b\u7406\u89e3\u3084\uff0c\u305d\u306e\u5f8c\u306e\u30cb\u30e5\u30fc\u30c8\u30f3\u306e\u8a71\u3002\u300c\u904b\u52d5\u306e\uff13\u6cd5\u5247\u300d\u306e\u30a4\u30f3\u30c8\u30ed\u3068\u3057\u3066\u306f\u5fc5\u8981\u306a\u5185\u5bb9\u3067\u3042\u308b\u304c\uff0c\u3069\u3061\u3089\u304b\u3068\u8a00\u3048\u3070\u3053\u306e\u5185\u5bb9\u306f\u6240\u3005\u3067\u8a71\u306b\u7e54\u308a\u8fbc\u3093\u3067\u3044\u3063\u305f\u65b9\u304c\u826f\u3044\u3002<br \/>\n\u4eca\u5e74\u306f\uff0c0.6 \u7269\u7406\u91cf\u306e\u6642\u9593\u5fae\u5206 \u306e\u6240\u3060\u3051\u5c11\u3057\u6271\u3046\u3002\u901f\u5ea6\u306f\u5ea7\u6a19\u306e\u5fae\u5206\u3067\u3042\u308b\u3068\u3044\u3046\u8a71\u3060\u3051\u53d6\u308a\u3042\u3052\u305f\u3002<br \/>\n<\/span><\/p>\n<p><strong><span style=\"color: #ff0000;\">\uff11\u7ae0 \u904b\u52d5\u306e\u8868\u3057\u65b9\uff08\uff11\uff09<\/span><\/strong><\/p>\n<p>\u3000\u904b\u52d5\u5b66\u3068\u3044\u308f\u308c\u308b\u9818\u57df\u3002\u904b\u52d5\u306e\u8a18\u8ff0\u3002<\/p>\n<p><strong>1.1 \u4f4d\u7f6e\u3068\u5ea7\u6a19\u7cfb<\/strong><br \/>\n<span style=\"color: #000099;\"><br \/>\n\u3000\u76f4\u4ea4\u5ea7\u6a19\u7cfb\u3084\u53f3\u624b\u7cfb\u306e\u3053\u3068\u304c\u8a18\u8ff0\u3055\u308c\u3066\u3044\u308b\u3002\u65e5\u9803\u4f7f\u7528\u3057\u3066\u3044\u308b\u307e\u307e\u3067\uff0c\u65b0\u305f\u306b\u518d\u8a8d\u8b58\u3059\u308b\u5fc5\u8981\u306f\u306a\u3044\u3002\u3042\u307e\u308a\u5185\u5bb9\u306b\u89e6\u308c\u308b\u3053\u3068\u306a\u304f\uff0c\u305f\u3060\u5ea7\u6a19\u3092\u6642\u9593\u306e\u95a2\u6570\u3068\u3057\u3066 \\(x(t)\\) \u3068\u8868\u3059\u3053\u3068\u3060\u3051\u8a71\u3059\u3002\\( x = f(t)\\) \u3067\u306f\u306a\u304f\u3066 \\(x = x(t)\\) \u3068\u8a18\u8ff0\u3057\u3066\uff0c\\(f\\) \u306e\u3088\u3046\u306a\u540d\u524d\u3092\u6301\u3061\u51fa\u3059\u3053\u3068\u306a\u304f\u8868\u8a18\u3059\u308b\u3053\u3068\u306b\u6163\u308c\u3066\u3082\u3089\u3044\u305f\u3044\u3068\u3044\u3046\u3053\u3068\u3060\u3051\u8a71\u3059\u3002<br \/>\n<\/span><\/p>\n<p><strong>1.2 \uff12\u6b21\u5143\u6975\u5ea7\u6a19\u3068\u5f27\u5ea6\u6cd5<\/strong><br \/>\n<span style=\"color: #000099;\"><br \/>\n\u3000\u6975\u5ea7\u6a19\u306f\uff0c\u3053\u306e\u5f8c\u306e\u8b1b\u7fa9\u3067\u305d\u308c\u307b\u3069\u51fa\u3066\u3053\u306a\u3044\u304c\uff0c\u30e9\u30b8\u30a2\u30f3\u306e\u5b9a\u7fa9\u3084\u5229\u7528\u65b9\u6cd5\u306f\u78ba\u8a8d\u3057\u305f\u3044\u3002\u5b9a\u7fa9\u3092\u5fa9\u7fd2\u3057\u305f\u5f8c\uff0c\u4f8b\u984c 1.1 \u306b\u98db\u3076\u3002<br \/>\n<\/span><\/p>\n<p>\u30c7\u30ab\u30eb\u30c8\u5ea7\u6a19\u3068\u306f\u7570\u306a\u308b\u4f4d\u7f6e\u306e\u8868\u3057\u65b9\u3068\u3057\u3066\uff0c\u6975\u5ea7\u6a19\u304c\u3042\u308b\u3002\u4f4d\u7f6e\u3092\u70b9 P \u3068\u3057\u3066\uff0c\u30c7\u30ab\u30eb\u30c8\u5ea7\u6a19\u306e\u539f\u70b9 O \u304b\u3089\u306e\u8ddd\u96e2 \\(r\\) \u3068 \\(x\\) \u8ef8\u3068 OP \u306e\u306a\u3059\u89d2 \\(\\theta\\) \u306e\u4e8c\u3064\u306e\u5024\u3067\u4f4d\u7f6e\u3092\u793a\u3059\u3082\u306e\u3067\u3042\u308b\u3002<\/p>\n<p><a href=\"http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2021\/04\/20210422a.png\"><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2021\/04\/20210422a-300x176.png\" alt=\"\" width=\"300\" height=\"176\" class=\"aligncenter size-medium wp-image-10268\" srcset=\"http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2021\/04\/20210422a-300x176.png 300w, http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2021\/04\/20210422a-768x450.png 768w, http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2021\/04\/20210422a-600x351.png 600w, http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2021\/04\/20210422a.png 820w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a><\/p>\n<p> \\(\\theta\\) \u3068\u3057\u3066\u7528\u3044\u308b\u306e\u306f\uff0c\u901a\u5e38\u30e9\u30b8\u30a2\u30f3\u3067\u3042\u308b\u3002\u30e9\u30b8\u30a2\u30f3\u306e\u5024\u306f\uff0c\u305d\u306e\u89d2\u306b\u5bfe\u5fdc\u3059\u308b\u534a\u5f84 1 \u306e\u5186\u306e\u5f27\u306e\u9577\u3055\u3067\u3042\u308b\u3002<\/p>\n<p><a href=\"http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2021\/04\/20210422b.png\"><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2021\/04\/20210422b-300x161.png\" alt=\"\" width=\"300\" height=\"161\" class=\"aligncenter size-medium wp-image-10269\" srcset=\"http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2021\/04\/20210422b-300x161.png 300w, http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2021\/04\/20210422b-600x322.png 600w, http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2021\/04\/20210422b.png 724w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a><\/p>\n<p>\u78ba\u8a8d\u306f\u4f8b\u984c 1.1 \u3067\u3002<\/p>\n<p><strong>\u4f8b\u984c 1.1 <\/strong><br \/>\n<span style=\"color: #000099;\"><br \/>\n\u3000\u7b49\u901f\u5186\u904b\u52d5\u306e\u901f\u5ea6 \\(v\\) \u3092\u89d2\u901f\u5ea6\u306b\u5909\u63db\u3059\u308b\u6240\u3067\u30e9\u30b8\u30a2\u30f3\u306e\u5b9a\u7fa9\u3092\u518d\u5ea6\u78ba\u8a8d\u3059\u308b\u3053\u3068\u304c\u8981\u70b9\u3002<br \/>\n<\/span><br \/>\n<strong>1.3 \u4f4d\u7f6e\u30d9\u30af\u30c8\u30eb\u3068\u5909\u4f4d\u30d9\u30af\u30c8\u30eb<\/strong><br \/>\n<span style=\"color: #000099;\"><br \/>\n\u3000\u30d9\u30af\u30c8\u30eb\uff0c\u30b9\u30ab\u30e9\u30fc\u306e\u8a71\u3002\u30d9\u30af\u30c8\u30eb\u3068\u306f\u4f55\u304b\u3092\u8a71\u3059\u5fc5\u8981\u306f\u306a\u3044\u3002<br \/>\n<\/span><\/p>\n<p>\u7269\u7406\u3067\u6271\u3046\u91cf\u306b\u306f\u30d9\u30af\u30c8\u30eb\u91cf\u304c\u591a\u304f\uff0c\u5927\u304d\u3055\u3068\u65b9\u5411\u3092\u6301\u3063\u3066\u3044\u3066\uff0c\u529b\u3084\u901f\u5ea6\u304c\u3053\u308c\u306b\u3042\u305f\u308b\u3002\u30d9\u30af\u30c8\u30eb\u3067\u306a\u3044\u3082\u306e\u3068\u3057\u3066\u306f\uff0c\u6e29\u5ea6\u3084\u30a8\u30cd\u30eb\u30ae\u30fc\u304c\u3042\u308a\uff0c\u3053\u308c\u3089\u306f\u5927\u304d\u3055\u306e\u307f\u3092\u6709\u3057\u3066\u3044\u3066\u30b9\u30ab\u30e9\u30fc\u3068\u547c\u79f0\u3055\u308c\u308b\u3002<\/p>\n<p>\u901f\u5ea6\u30d9\u30af\u30c8\u30eb\u306f\u4f4d\u7f6e\u30d9\u30af\u30c8\u30eb\u3068\u7570\u306a\u3063\u3066\uff0c\u8d77\u70b9\u306f\u91cd\u8981\u3067\u306a\u3044\u3002\u7a7a\u9593\u306e\u3069\u3053\u306b\u5b58\u5728\u3057\u3066\u3082\u540c\u3058\u30d9\u30af\u30c8\u30eb\u3067\u3042\u308c\u3070\u533a\u5225\u306f\u306a\u3044\u3002<\/p>\n<p><strong>1.4 \u30d9\u30af\u30c8\u30eb\u306e\u57fa\u672c\u7684\u6027\u8cea<\/strong><br \/>\n<span style=\"color: #000099;\"><br \/>\n\u3000\u30d9\u30af\u30c8\u30eb\u306e\u548c\u3068\u5dee\uff0c\u6210\u5206\u8868\u793a\u306a\u3069\u3002\u3053\u3053\u3082\u7279\u306b\u53d6\u308a\u6271\u3046\u5fc5\u8981\u306f\u306a\u3044\u3002\u7ae0\u672b\u306e\u6f14\u7fd2\u554f\u984c\u3092\u3084\u308b\u306e\u307f\u3067\u826f\u3044\u3002<br \/>\n<\/span><br \/>\n<strong>\u7b2c\uff11\u7ae0\u6f14\u7fd2\u554f\u984c<\/strong><\/p>\n<p>\u3000[5] \u306e\u307f\u3092\u53d6\u308a\u6271\u3063\u305f\u3002<\/p>\n<p>\u3000<span style=\"color: #ff0000;\">\u3053\u306e\u3042\u305f\u308a\u3067\u521d\u65e5\u306e\u7d42\u308f\u308a\u3002\u6700\u5f8c\u306b\u300c\u8abf\u67fb\u300d\u3092\u5b9f\u65bd\u3057\u305f\u3002<\/span><\/p>\n<p><strong><span style=\"color: #ff0000;\">\uff12\u7ae0 \u904b\u52d5\u306e\u8868\u3057\u65b9\uff08\uff12\uff09<\/span><\/strong><br \/>\n<span style=\"color: #000099;\"><br \/>\n \u3000\u524d\u7ae0\u306e\u904b\u52d5\u5b66\u306e\u7d9a\u304d\u3002\u524d\u7ae0\u306f\u5ea7\u6a19\u3092\u53d6\u308a\u6271\u3063\u305f\u304c\uff0c\u3053\u3053\u3067\u306f\u901f\u5ea6\uff0c\u52a0\u901f\u5ea6\u3092\u53d6\u308a\u6271\u3046\u3002\u305f\u3060\u3057\u529b\u306f\u53d6\u308a\u6271\u308f\u306a\u3044\u3053\u3068\u306b\u6ce8\u610f\u3059\u308b\u3002\u653e\u7269\u904b\u52d5\u3082\u6f14\u7fd2\u554f\u984c\u306b\u306f\u3042\u308b\u304c\uff0c\u529b\u3068\u306e\u7d61\u307f\u306f\u306a\u3044\u3002\u5b9f\u8cea\u6700\u521d\u306e\u8b1b\u7fa9\u306a\u306e\u3067\uff0c\u5165\u308a\u306b\u60a9\u3080\u3002\u4f55\u304b\u5fc5\u7136\u7684\u306a\u5165\u308a\u304c\u306a\u3044\u3082\u306e\u304b\u3002<br \/>\n<\/span><br \/>\n<strong>2.1 \u901f\u3055<\/strong><\/p>\n<p>\u3000\u901f\u3055\u306b\u95a2\u3057\u3066\u306f\uff0c\u5c0f\u5b66\u6821\u306e\u9803\u304b\u3089\uff0c\u901f\u3055\uff1d\u8ddd\u96e2\/\u6642\u9593 \u3068\u6559\u308f\u3063\u3066\u3044\u308b\u3002\u4eee\u306b 1 \u6642\u9593\u3067 60 km \u79fb\u52d5\u3057\u305f\u304b\u3089\u3068\u3044\u3063\u3066\uff0c\u5e73\u5747\u7684\u306a\u901f\u5ea6\u304c \u6642\u901f 60 km \u3068\u3044\u3046\u3060\u3051\u3067\uff0c\u9014\u4e2d\u306e\u901f\u3055\u306f\u5206\u304b\u3089\u306a\u3044\u3002\u3064\u307e\u308a\u901f\u3055\u306f\u672c\u8cea\u7684\u306b\u77ac\u9593\u7684\u306a\u6982\u5ff5\u3060\u3068\u8a00\u3048\u308b\u3002\u6559\u79d1\u66f8\u306b\u3042\u308b\u77ac\u9593\u306e\u901f\u3055\u304c\u6211\u3005\u304c\u8a00\u8449\u304b\u3089\u9023\u60f3\u3059\u308b\u901f\u3055\u306b\u8fd1\u3044\u3002\u307e\u305f\u77ac\u9593\u7684\u3068\u3044\u3046\u3088\u308a\u306f\u3042\u308b\u6642\u523b\u3068\u3044\u3063\u305f\u65b9\u304c\u3075\u3055\u308f\u3057\u3044\u6c17\u304c\u3059\u308b\u304c\uff0c\u305d\u308c\u306f\u7279\u5225\u306a\u3053\u3068\u3067\u306f\u7121\u304f\u3066\uff0c\u5148\u306e\u901f\u3055\u306e\u5b9a\u7fa9\u5f0f\u306e\u6975\u9650\u3092\u8003\u3048\u308b\u3060\u3051\u3067\u3042\u308b\u3002\u8ddd\u96e2\u3092\u3000\\(s(t)\\)\u3000\u3068\u3057\u3066\uff0c<\/p>\n<ul>\\(\\displaystyle v(t) =  \\lim_{\\Delta t \\to 0} \\frac{s(t+\\Delta t) &#8211; s(t)}{\\Delta t}\\)<\/ul>\n<p><span style=\"color: #000099;\">\u3053\u306e\u5f8c\uff0c\u81ea\u7531\u843d\u4e0b\u3092\u7528\u3044\u3066\uff0c\u4e0a\u8a18\u306e\u5b9a\u7fa9\u306e\u4f8b\u3092\u793a\u3059\u3002<\/span><\/p>\n<p>\\(\\displaystyle s(t) = \\frac{1}{2} \\, g \\, t^2 \\) \u3067\u3042\u308b\u304c\uff0c<\/p>\n<ul>\\( \\displaystyle s(t+\\Delta t) &#8211; s(t) = \\frac{1}{2} \\, g \\times 2 \\, t \\, \\Delta t + \\frac{1}{2} \\, g \\, \\Delta t^2\\)<\/ul>\n<p>\u3088\u3063\u3066\uff0c<\/p>\n<ul>\\(\\begin{eqnarray} \\displaystyle<br \/>\nv(t) &#038;=&#038;  \\lim_{\\Delta t \\to 0} \\frac{s(t+\\Delta t) &#8211; s(t)}{\\Delta t} \\\\<br \/>\n        &#038;=&#038; \\lim_{\\Delta t \\to 0} \\frac{1}{2} \\, g \\times 2 \\, t + \\frac{1}{2} \\, g \\, \\Delta t \\\\<br \/>\n        &#038;=&#038; g \\, t<br \/>\n\\end{eqnarray} \\)<\/ul>\n<p>\u898b\u6163\u308c\u305f\u5f0f\u304c\u5f97\u3089\u308c\u305f\u3002\u7d50\u5c40\u6570\u5b66\u7684\u306b\u306f\u3001\u5ea7\u6a19\u3092\u6642\u9593\u3067\u5fae\u5206\u3057\u3066\u3044\u308b\u3053\u3068\u306b\u306a\u3063\u3066\u3044\u308b\u3002\u305d\u308c\u3067\u306f\u3001\u9006\u306b\u901f\u3055\u3092\u6642\u9593\u3067\u7a4d\u5206\u3059\u308b\u3068\u5ea7\u6a19\u3068\u306a\u308b\u306e\u304b\u3068\u8a00\u3048\u3070\u3001\u305d\u308c\u3092\u3084\u3063\u3066\u3044\u305f\u306e\u304c\u9ad8\u6821\u306e\u6642\u306e \\(v &#8211; t\\) \u30b0\u30e9\u30d5\u3067\u3042\u308b\u3002<\/p>\n<p><a href=\"http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2021\/04\/20210421a2.png\"><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2021\/04\/20210421a2-300x175.png\" alt=\"\" width=\"300\" height=\"175\" class=\"aligncenter size-medium wp-image-10233\" srcset=\"http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2021\/04\/20210421a2-300x175.png 300w, http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2021\/04\/20210421a2.png 532w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a><\/p>\n<p>\u9ad8\u6821\u3067\u306f\uff0c\\(v &#8211; t\\) \u30b0\u30e9\u30d5\u306b\u304a\u3044\u3066\u76f4\u7dda\u3067\u56f2\u307e\u308c\u305f\u53f0\u5f62\u306e\u9762\u7a4d\u3092\u79fb\u52d5\u8ddd\u96e2\u3068\u8003\u3048\u3066\u3044\u305f\u304c\uff0c\u3042\u308c\u306f\u901f\u3055\u3092\u7a4d\u5206\u3059\u308b\u3068\u3001\u305d\u308c\u304c\u5ea7\u6a19\u3068\u306a\u308b\u3068\u3044\u3046\u610f\u5473\u5408\u3044\u3067\u3042\u308b\u3002<\/p>\n<ul>\\(\\displaystyle s =  \\int_{t_A}^{t_B} v(t) dt\\)<\/ul>\n<p><strong>2.2 \u901f\u5ea6<\/strong><\/p>\n<p><span style=\"color: #000099;\">\u3000\u5148\u307b\u3069\u306f\u901f\u3055\uff0c\u4eca\u5ea6\u306f\u901f\u5ea6\uff0c\u5927\u5b66\u5165\u8a66\u554f\u984c\u3067\u306f\u6c17\u3092\u4ed8\u3051\u3066\u3044\u308b\u4f7f\u3044\u5206\u3051\u3067\u3042\u308b\u3002\u30d9\u30af\u30c8\u30eb\u7684\u306a\u53d6\u308a\u6271\u3044\u65b9\u306f\uff0c\u3068\u304f\u306b\u554f\u984c\u306b\u306a\u3089\u306a\u3044\u3068\u4e88\u60f3\u3059\u308b\u3002\u30d9\u30af\u30c8\u30eb\u3067\u901f\u3055\u306e\u5b9a\u7fa9\u3092\u66f8\u304f\u3068\uff0c\u306a\u3093\u3060\u304b\u62bd\u8c61\u7684\u306a\u611f\u3058\u304c\u3059\u308b\u304c\uff0c\u5177\u4f53\u7684\u306b\u306f\uff0c\u305d\u308c\u305e\u308c\u306e\u5ea7\u6a19\u6210\u5206\u306e\u6642\u9593\u5fae\u5206\u306b\u306a\u308b\u3068\u3044\u3046\u8a71\u3057\u3067\u3042\u308b\u3002<\/span><\/p>\n<p>\u904b\u52d5\u3092\u8003\u3048\u308b\u3068\u304d\uff0c\u901f\u3055\u3060\u3051\u3067\u306a\u304f\u305d\u306e\u5411\u304d\u3082\u91cd\u8981\u3067\u3042\u308b\u3002\u3053\u306e\u901f\u3055\u3068\u5411\u304d\u3092\u8003\u3048\u305f\u30d9\u30af\u30c8\u30eb\u91cf\u3092\u901f\u5ea6\u3068\u547c\u3076\u3002\u5148\u307b\u3069\uff0c\u4f4d\u7f6e\u306e\u6642\u9593\u5909\u5316\u304b\u3089\u901f\u3055\u3092\u8003\u3048\u305f\u304c\uff0c\u4eca\u5ea6\u306f\u4f4d\u7f6e\u3082\u30d9\u30af\u30c8\u30eb\u3067\u8868\u3057\u3066\u305d\u306e\u6642\u9593\u5909\u5316\u3092\u8003\u3048\u308b\u3002<\/p>\n<p>\u901f\u5ea6\u306e\u5b9a\u7fa9\u306f\uff0c\u5ea7\u6a19\u30d9\u30af\u30c8\u30eb\u306e\u6642\u9593\u5909\u5316\u306e\u6975\u9650\u3092\u53d6\u3063\u305f\u3082\u306e\u3068\u5b9a\u7fa9\u3055\u308c\u308b\u304c\uff0c\u305d\u308c\u306f\u5404\u901f\u5ea6\u6210\u5206\u306e\u5024\u304c\u5ea7\u6a19\u306e\u6210\u5206\u306e\u5fae\u5206\u3068\u306a\u308b\u3053\u3068\u304b\u3089\uff0c\u5b9a\u7fa9\u3068\u3057\u3066\u59a5\u5f53\u3067\u3042\u308b\u3053\u3068\u304c\u5206\u304b\u308b\u3002<\/p>\n<ul>\\(\\begin{eqnarray} \\displaystyle<br \/>\n\\vec{v} &#038;=&#038; \\frac{d \\vec{r}}{d t} \\\\<br \/>\n        &#038;=&#038; \\left( \\frac{d x}{d t} , \\, \\frac{d y}{d t} \\right)<br \/>\n\\end{eqnarray} \\)<\/ul>\n<p><strong>2.3 \u52a0\u901f\u5ea6<\/strong><\/p>\n<p><span style=\"color: #000099;\"><br \/>\n\u3000\u6559\u79d1\u66f8\u3067\u306f\uff0c\u52a0\u901f\u5ea6\u306f\u3044\u304d\u306a\u308a\u30d9\u30af\u30c8\u30eb\u7684\u306b\u53d6\u308a\u6271\u3046\u3002\u524d\u632f\u308a\u3068\u3057\u3066\u306e\u76f4\u7dda\u904b\u52d5\u306e\u52a0\u901f\u5ea6\u306e\u8a71\u306f\u306a\u3044\u3002\u3053\u3053\u3067\u306f\uff0c\u52a0\u901f\u5ea6\u304c\u901f\u5ea6\u306e\u5fae\u5206\u3067\u3042\u308b\u3053\u3068\u3092\u8a71\u3057\uff0c\u307e\u305f\u6642\u523b \\(t\\) \u304b\u3089 \\(t + \\Delta t\\) \u9593\u306e\u901f\u5ea6\u306e\u5909\u5316 \\(\\Delta \\vec{v} = \\vec{v}(t + \\Delta t) &#8211; \\vec{v} (t)\\) \u3092\u8003\u3048\u308b\u3068\u304d\u306b\uff0c\u305d\u308c\u305e\u308c\u306e\u901f\u5ea6\u30d9\u30af\u30c8\u30eb\u306e\u59cb\u70b9\u3092\u63c3\u3048\u3066\u914d\u7f6e\u3059\u308b\u3068\u3044\u3046\u3068\u3053\u308d\u3092\u5f37\u8abf\u3059\u308b\u3002<br \/>\n<\/span><\/p>\n<p><a href=\"http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2021\/04\/20210421b.png\"><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2021\/04\/20210421b-300x92.png\" alt=\"\" width=\"300\" height=\"92\" class=\"aligncenter size-medium wp-image-10240\" srcset=\"http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2021\/04\/20210421b-300x92.png 300w, http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2021\/04\/20210421b-1024x313.png 1024w, http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2021\/04\/20210421b-768x235.png 768w, http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2021\/04\/20210421b-600x183.png 600w, http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2021\/04\/20210421b.png 1446w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a><\/p>\n<p>\u52a0\u901f\u904b\u52d5\u3092\u5b9a\u91cf\u7684\u306b\u691c\u8a0e\u3057\u305f\u306e\u306f\uff0c\u30ac\u30ea\u30ec\u30aa\u304c\u6700\u521d\u3067\u3042\u308b\u304c\uff0c\u6709\u540d\u306a\u659c\u9762\u306e\u5b9f\u9a13\u306e\u7d50\u679c\uff0c\u843d\u4e0b\u306e\u901f\u5ea6\u306f\u6642\u9593\u306b\u6bd4\u4f8b\u3057\u3066\u76f4\u7dda\u7684\u306b\u5897\u52a0\u3057\uff0c\uff08\u6642\u9593\u306b\u5bfe\u3059\u308b\uff09\u52a0\u901f\u5ea6\u306f\u4e00\u5b9a\u3067\u3042\u308b\u3068\u5206\u304b\u3063\u305f\u3002\u904b\u52d5\u306b\u5bfe\u3059\u308b\u7d20\u6734\u306a\u30a2\u30a4\u30c7\u30a3\u30a2\u3067\u306f\uff0c\u529b\u3068\u901f\u5ea6\u3092\u7d50\u3073\u4ed8\u3051\u3066\u901f\u5ea6\u304c\u5897\u52a0\u3059\u308b\u6642\u50cd\u304f\u529b\u3082\u5897\u52a0\u3057\u3066\u3044\u308b\u304b\u306e\u3088\u3046\u306b\u8003\u3048\u308b\u50be\u5411\u304c\u3042\u308b\u304c\uff0c\u659c\u9762\u4e0a\u3067\u306f\u50cd\u304f\u529b\u306f\u4e00\u5b9a\u3067\uff0c\u901f\u5ea6\u306e\u5897\u52a0\u3068\u5bfe\u5fdc\u3057\u306a\u3044\u3002\u3080\u3057\u308d\u4e00\u5b9a\u306e\u529b\u3068\u5bfe\u5fdc\u3059\u308b\u306e\u306f\uff08\u4e00\u5b9a\u306e\uff09\u52a0\u901f\u5ea6\u306e\u65b9\u3067\u3042\u308b\u3002\u3053\u306e\u3088\u3046\u306a\u8a71\u3092\u30a4\u30f3\u30c8\u30ed\u3068\u3057\u305f\u3002<\/p>\n<p>\u52a0\u901f\u5ea6\u306e\u5b9a\u7fa9\u3092\u307e\u305a\u306f\u3057\u306a\u3051\u308c\u3070\u306a\u3089\u306a\u3044\u304c\uff0c\u3053\u308c\u306f\u3068\u308a\u3042\u3048\u305a1\u6b21\u5143\u7684\u306a\u76f4\u7dda\u904b\u52d5\u306e\u52a0\u901f\u5ea6\u304b\u3089\u59cb\u3081\u308b\u3068\u826f\u3044\u306e\u304b\u3082\u3057\u308c\u306a\u3044\uff08\u4eca\u5e74\u306f\u305d\u3046\u3057\u306a\u304b\u3063\u305f\uff09\u3002\u901f\u5ea6\u5909\u5316\u3092\u6642\u9593\u3067\u5272\u3063\u3066\u52a0\u901f\u5ea6\u3068\u3059\u308b\u304c\uff0c\u305d\u308c\u306f\u7d50\u5c40\u4e0b\u8a18\u306e\u3088\u3046\u306a\u52a0\u901f\u5ea6\u3068\u901f\u5ea6\u306e\u5fae\u5206\u306e\u95a2\u4fc2\u306b\u5e30\u7d50\u3059\u308b\u3002<\/p>\n<ul>\\(\\displaystyle a = \\frac{d v}{d t} \\)<\/ul>\n<p>2\u6b21\u5143\u7684\u306a\u904b\u52d5\u3067\u306f\uff0c\u5929\u4e0b\u308a\u7684\u306b\uff0c\u901f\u5ea6\u30d9\u30af\u30c8\u30eb\u306e\u5909\u5316\u3092\u6642\u9593\u3067\u5272\u3063\u305f\u3082\u306e\u3068\u3057\u3066\u5b9a\u7fa9\u3092\u4e0e\u3048\u305f\u3002\u307e\u305f\u901f\u5ea6\u30d9\u30af\u30c8\u30eb\u3092\u5e73\u884c\u79fb\u52d5\u3057\u3066\u59cb\u70b9\u3092\u63c3\u3048\u3066\uff0c\u305d\u306e\u5909\u5316\u91cf\u3092\u8003\u3048\u308b\u3053\u3068\u3092\u5f37\u8abf\u3057\u305f\u3002<\/p>\n<p><a href=\"http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2021\/04\/20210421c.png\"><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2021\/04\/20210421c-300x174.png\" alt=\"\" width=\"300\" height=\"174\" class=\"aligncenter size-medium wp-image-10243\" srcset=\"http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2021\/04\/20210421c-300x174.png 300w, http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2021\/04\/20210421c-768x447.png 768w, http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2021\/04\/20210421c-600x349.png 600w, http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2021\/04\/20210421c.png 999w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a><\/p>\n<p>\u4e0a\u8a18\u306e\u3088\u3046\u306a\uff0c2\u6b21\u5143\u5e73\u9762\u4e0a\u306e\u52a0\u901f\u5ea6\u306e\u5b9a\u7fa9\u304c\u59a5\u5f53\u3067\u3042\u308b\u3053\u3068\u306f\uff0c\u305d\u306e\u6210\u5206\u3092\u898b\u3066\u307f\u308b\u3068\u5206\u304b\u308b\u3002\u4e0b\u8a18\u306b\u793a\u3059\u3088\u3046\u306a\uff0c\u305d\u308c\u305e\u308c\u306e\u6210\u5206\u306e\u6642\u9593\u5fae\u5206\u3068\u306a\u3063\u3066\u3044\u3066\uff0c1\u6b21\u5143\u306e\u8a71\u3068\u3064\u306a\u304c\u308b\u3002<\/p>\n<ul>\\(\\displaystyle \\vec{a} = \\left( \\frac{d v_x}{d t} , \\, \\frac{d v_y}{d t} \\right)\\)<\/ul>\n<p>\u59cb\u70b9\u3092\u63c3\u3048\u3066\u901f\u5ea6\u306e\u5909\u5316\u91cf\u3092\u8003\u3048\u308b\u3053\u3068\u306e\u4f8b\u3068\u3057\u3066\uff0c\u653e\u7269\u904b\u52d5\u3092\u53d6\u308a\u3042\u3052\u305f\u3002<\/p>\n<p><a href=\"http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2021\/04\/20210421d.png\"><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2021\/04\/20210421d-300x174.png\" alt=\"\" width=\"300\" height=\"174\" class=\"aligncenter size-medium wp-image-10247\" srcset=\"http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2021\/04\/20210421d-300x174.png 300w, http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2021\/04\/20210421d-768x447.png 768w, http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2021\/04\/20210421d-600x349.png 600w, http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2021\/04\/20210421d.png 999w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a><\/p>\n<p>\u6c34\u5e73\u65b9\u5411\u306e\u901f\u5ea6\u306f\u4e00\u5b9a\u3067\uff0c\u925b\u76f4\u65b9\u5411\u306e\u901f\u5ea6\u306e\u307f\u5909\u5316\u3059\u308b\u4f8b\u3067\u3042\u308b\u3002\u3053\u308c\u3092\u5b9a\u7fa9\u306b\u5f93\u3063\u3066\u8a08\u7b97\u3057\u52a0\u901f\u5ea6\u3092\u6c42\u3081\u3068\uff0c\u4e0b\u8a18\u306e\u3088\u3046\u306a\u898b\u6163\u308c\u305f\u5024\u304c\u5f97\u3089\u308c\u308b\u3002<\/p>\n<ul>\\(\\displaystyle \\vec{a} = \\left( 0 , \\, &#8211; g \\right)\\)<\/ul>\n<p><strong>e-learning \u306b\u3088\u308b\u8ab2\u984c\u306e\u6e96\u5099<\/strong><\/p>\n<p>\u3000e-learning \u3067\u5bbf\u984c\u3092\u3060\u3059\u306e\u3067\uff0c\u305d\u306e\u5229\u7528\u65b9\u6cd5\u306e\u8aac\u660e\uff08\u4e0b\u56f3\uff09\u3002powerpoint \u306e\u89e3\u8aac\u3082\u4f5c\u6210\u3057\u305f\u3002<\/p>\n<p><a href=\"http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/05\/20190504a.png\"><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/05\/20190504a-285x300.png\" alt=\"\" width=\"285\" height=\"300\" class=\"aligncenter size-medium wp-image-8071\" srcset=\"http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/05\/20190504a-285x300.png 285w, http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/05\/20190504a-600x631.png 600w, http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/05\/20190504a.png 646w\" sizes=\"auto, (max-width: 285px) 100vw, 285px\" \/><\/a><\/p>\n<p>\u6570\u5f0f\u306e\u5165\u529b\u65b9\u6cd5\u3068\u5165\u529b\u4f8b\u3092\u898b\u305b\u308b\u3053\u3068\uff0c\u5f8c\u63a1\u70b9\u306a\u306e\u3067\u300caccepted\u300d\u3068\u3060\u3051\u8868\u793a\u3055\u308c\u308b\u3053\u3068\uff0c\u4f55\u56de\u3067\u3082\u9001\u4fe1\u53ef\u80fd\u3067\u3042\u308b\u3053\u3068\u7b49\u3092\u8a71\u3057\u305f\u3002<\/p>\n<p><span style=\"color: #ff0000;\">\u3053\u306e\u3042\u305f\u308a\u30672\u65e5\u76ee\u306e\u7d42\u308f\u308a\u3002<\/span><\/p>\n<p><strong>2.4 \u7b49\u52a0\u901f\u5ea6\u904b\u52d5<\/strong><br \/>\n<span style=\"color: #000099;\"><br \/>\n \u5148\u9031\uff0c\u5ea7\u6a19\uff0c\u901f\u5ea6\uff0c\u52a0\u901f\u5ea6\u304c\u5fae\u5206\u3084\u7a4d\u5206\u3067\u95a2\u4fc2\u3057\u3066\u3044\u308b\u3053\u3068\u3092\u8a71\u3057\u3066\u3044\u3066\uff0c\u3067\u3082\u5177\u4f53\u7684\u306b\u306f\u4f55\u3082\u3068\u308a\u6271\u3063\u3066\u3044\u306a\u3044\u3002\u305d\u3053\u3067\u4f8b\u3068\u3057\u3066\u52a0\u901f\u5ea6\u304c\u4e00\u5b9a\u3068\u306a\u308b\u5834\u5408\u306b\u5fae\u7a4d\u306e\u95a2\u4fc2\u304c\u3069\u3046\u306a\u308b\u306e\u304b\u898b\u3066\u307f\u308b\u3068\u3044\u3046\u4f4d\u7f6e\u3065\u3051\u304b\u3068\u601d\u3046\u3002\u6559\u79d1\u66f8\u3067\u306f\uff0c\u52a0\u901f\u5ea6\u304b\u3089\u901f\u5ea6\u3092\u6c42\u3081\u3066\u6b21\u306b\u5ea7\u6a19\u3068\u3044\u3046\u9806\u306b\uff0c\u7a4d\u5206\u3057\u3066\u3044\u304f\u65b9\u5411\u3067\u53d6\u308a\u6271\u3063\u3066\u3044\u308b\u3002<br \/>\n<\/span><\/p>\n<p>\u7b49\u52a0\u901f\u5ea6\u904b\u52d5\u3092\u4f8b\u306b\u3068\u3063\u3066\uff0c\u52a0\u901f\u5ea6\u304b\u3089\u59cb\u3081\u3066\u901f\u5ea6\uff0c\u5ea7\u6a19\u3068\u306e\u95a2\u4fc2\uff08\u7a4d\u5206\u306b\u3088\u308b\u7e4b\u304c\u308a\uff09\u3092\u307f\u308b\u3002<\/p>\n<p>\\(a -t\\) \u30b0\u30e9\u30d5\u306f\u6c34\u5e73\u306a\u76f4\u7dda\u3068\u306a\u308a\uff0c\u76f4\u7dda\u4e0b\u65b9\u306e\u9762\u7a4d\u304c\u901f\u5ea6\u3068\u306a\u308b\u3002<\/p>\n<ul>\\(\\displaystyle \\mathrm{\u52a0\u901f\u5ea6} = a\\)<\/ul>\n<p>\\(v -t\\) \u30b0\u30e9\u30d5\u306f 1 \u6b21\u95a2\u6570\u306e\u76f4\u7dda\u3068\u306a\u308a\uff0c\u5207\u7247\u304c\u521d\u901f\u3067\u50be\u304d\u304c\u52a0\u901f\u5ea6\u3002\u76f4\u7dda\u4e0b\u65b9\u306e\u9762\u7a4d\u304c\u5ea7\u6a19\u3068\u306a\u308b\u3002<\/p>\n<ul>\\(\\displaystyle v(t) = a \\, t + v_0\\)<\/ul>\n<p>\\(x -t\\) \u30b0\u30e9\u30d5\u306f 2 \u6b21\u95a2\u6570\u3068\u306a\u308a\uff0c\u5207\u7247\u304c\u59cb\u70b9\u3067\u50be\u304d\u304c\u901f\u5ea6\uff0c \\(t = 0\\) \u3067\u306e\u50be\u304d\u306f\u521d\u901f\u3002\u76f4\u7dda\u4e0b\u65b9\u306e\u9762\u7a4d\u306f\u4e0d\u660e\u3002<\/p>\n<ul>\\(\\displaystyle x(t) = \\frac{1}{2} \\, a \\, t^2 + v_0 \\, t + x_0\\)<\/ul>\n<p><strong>(2.5)\u3000\u7b49\u901f\u5186\u904b\u52d5<\/strong><br \/>\n<span style=\"color: #000099;\"><br \/>\n\u7b49\u901f\u5186\u904b\u52d5\u3092\u4f8b\u3068\u3057\u3066\uff0c\u5148\u9031\u306e\u52a0\u901f\u5ea6\u306e\u5b9a\u7fa9\uff0c\u7279\u306b\u8996\u70b9\u3092\u63c3\u3048\u308b\u70b9\u3092\u8003\u3048\u3066\u307f\u308b\u3068\u3044\u3046\u4f4d\u7f6e\u3065\u3051\u3067\u53d6\u308a\u6271\u3046\u3002<br \/>\n<\/span><\/p>\n<p>\u4e0b\u56f3\u306e\u3088\u3046\u306b\uff0c\u534a\u5f84 \\(r\\) \u306e\u5186\u5468\u4e0a\u3092\u70b9 P \u304c\u901f\u5ea6 \\(v\\) \u3067\u904b\u52d5\u3057\u3066\u3044\u308b\u3002<\/p>\n<p><a href=\"http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/04\/20190425a1.png\"><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/04\/20190425a1-300x253.png\" alt=\"\" width=\"300\" height=\"253\" class=\"aligncenter size-medium wp-image-7962\" srcset=\"http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/04\/20190425a1-300x253.png 300w, http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/04\/20190425a1.png 432w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a>fig. 2.5.1<\/p>\n<p>\u56f3\u4e2d\u306e\\(\\theta\\) \u306f\u6642\u9593\u306b\u5bfe\u3057\u3066\u4e00\u5b9a\u306e\u5272\u5408\u3067\u5897\u52a0\u3059\u308b\u304c\uff0c\u3053\u306e\u5897\u52a0\u5206\uff08\u89d2\u901f\u5ea6\uff09\u3092 \\(\\omega\\) \u3068\u3059\u308b\u3002 \\(r, \\, v\\)\uff0c\\(\\theta\\)\uff0c\\(\\omega\\) \u306e\u9593\u306b\u306f \\( \\theta = \\omega \\, t, \\quad v = r \\, \\omega\\) \u304c\u6210\u308a\u7acb\u3061\u307e\u3059\u3002\u4ee5\u4e0b\uff0c\u7b49\u901f\u5186\u904b\u52d5\u306e\u901f\u5ea6\u3068\u52a0\u901f\u5ea6\u306b\u95a2\u3057\u3066\u8003\u3048\u308b\u3002<\/p>\n<p>\u3053\u3053\u3067\uff0c\u901f\u5ea6\u3092\u5ea7\u6a19\u3068\u3057\u3066\u30d7\u30ed\u30c3\u30c8\u3057\u305f\u30db\u30c9\u30b0\u30e9\u30d5\u3068\u3044\u3046\u56f3\uff08\u4e0b\u56f3\uff09\u3092\u5229\u7528\u3059\u308b\u3002<\/p>\n<p><span style=\"color: #000099;\">\u30db\u30c9\u30b0\u30e9\u30d5\u306e\u8aac\u660e\u306e\u5165\u308a\u306f\u3001fig2.5.1 \u306e\u70b9 P \u3067\u306e\u901f\u5ea6\u306f\u30db\u30c9\u30b0\u30e9\u30d5\u4e0a\u306e\u3069\u3053\u306b\u3042\u308b\u306e\u304b\u3068\u554f\u3046\u3068\u3053\u308d\u304b\u3089\u59cb\u3081\u305f\u3002\u305d\u308c\u306f\u4f55\u306e\u3053\u3068\u306f\u306a\u3044\u3001fig2.5.1 \u306e\u70b9 P \u3067\u306e\u901f\u5ea6\u30d9\u30af\u30c8\u30eb\u3092\u3001fig2.5.2 \u306e\u30b0\u30e9\u30d5\u306b\u5e73\u884c\u79fb\u52d5\u3057\u3066\u304d\u3066\u3001\u30d9\u30af\u30c8\u30eb\u306e\u59cb\u70b9\u3092\u539f\u70b9\u306b\u7f6e\u3044\u305f\u6642\u306e\u30d9\u30af\u30c8\u30eb\u306e\u5148\u7aef\u306e\u4f4d\u7f6e\u304c\u30db\u30c9\u30b0\u30e9\u30d5\u4e0a\u306e\u4f4d\u7f6e\u3068\u306a\u308b\u3002\u3069\u3053\u306e\u89d2\u5ea6\u304c \\(\\theta\\) \u3068\u306a\u308b\u306e\u304b\u3082\u78ba\u8a8d\u3059\u308b\u3002<\/span><\/p>\n<p><a href=\"http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/04\/20190425a2.png\"><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/04\/20190425a2-300x296.png\" alt=\"\" width=\"300\" height=\"296\" class=\"aligncenter size-medium wp-image-7971\" srcset=\"http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/04\/20190425a2-300x296.png 300w, http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/04\/20190425a2.png 480w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a>fig. 2.5.2<\/p>\n<p>fig. 2.5.1 \u3067 \\(x\\) \u8ef8\u4e0a\u306e\u70b9 A \u306b\u8cea\u70b9\u304c\u3042\u308b\u3068\u304d\uff0c\u30db\u30c9\u30b0\u30e9\u30d5\u4e0a\u3067\u306f \\(y\\) \u8ef8\u4e0a\u306b\u3042\u308b\u3002\u3053\u306e\u56f3\u3092\u4f7f\u3063\u3066\uff0c\u70b9 A \u3067\u306e\u52a0\u901f\u5ea6\u3092\u8003\u3048\u308b\u3002<\/p>\n<p><a href=\"http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/04\/20190425a3.png\"><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/04\/20190425a3-300x279.png\" alt=\"\" width=\"300\" height=\"279\" class=\"aligncenter size-medium wp-image-7988\" srcset=\"http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/04\/20190425a3-300x279.png 300w, http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/04\/20190425a3.png 433w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a>fig. 2.5.3<\/p>\n<p>\u8cea\u70b9\u304c\u70b9 A \u306e\u4f4d\u7f6e\u306b\u3042\u308b\u3068\u304d\u3068 \\(\\Delta t\\) \u79d2\u7d4c\u904e\u3057\u305f\u6642\u523b\u3068\u306e\u9593\u3067\u306e\u901f\u5ea6\u5909\u5316\u3092\u8003\u3048\u308b\u3002\u70b9 A \u306e\u6642\u523b\u306b\u304a\u3044\u3066\uff0c\u30db\u30c9\u30b0\u30e9\u30d5\u4e0a\u3067 \\(y\\) \u8ef8\u65b9\u5411\u3092\u5411\u3044\u3066\u3044\u305f\u901f\u5ea6\u306f\u5de6\u5074\u306b\u5012\u308c\u308b\u3088\u3046\u306b\uff0c\\(\\omega \\Delta t\\) \u56de\u8ee2\u3057\u3066\u3044\u308b\u3002\u3053\u306e\u901f\u5ea6\u5909\u5316 \\(\\vec{\\Delta v}\\) \u306f\uff0c\u5927\u304d\u3055\u304c \\(| \\vec{\\Delta v} | = r \\, {\\omega}^2 \\, \\Delta t\\) \u3067\u3042\u308b\u3002\u305d\u308c\u3086\u3048\u52a0\u901f\u5ea6 \\(\\vec{a}\\) \u306e\u5927\u304d\u3055\u306f<\/p>\n<ul>\\(\\begin{eqnarray} \\displaystyle | \\vec{a} | &#038;=&#038; \\frac{| \\vec{\\Delta v} |}{\\Delta t} \\\\ &#038;=&#038; r \\, {\\omega}^2 . \\end{eqnarray}\\)<\/ul>\n<p>\u305d\u306e\u5411\u304d\u306f\uff0c\u6c34\u5e73\u65b9\u5411\u5de6\u5411\u304d\u3067\u3042\u308b\u304c\uff0c fig. 2.5.1 \u306b\u623b\u3063\u3066\u8003\u3048\u308b\u3068\uff0c\u5186\u904b\u52d5\u306e\u4e2d\u5fc3\u3092\u5411\u3044\u3066\u3044\u308b\u3002\u524d\u9031\u306b\uff0c\u901f\u5ea6\u5909\u5316\u3092\u8003\u3048\u308b\u3068\u304d\u901f\u5ea6\u30d9\u30af\u30c8\u30eb\u306e\u59cb\u70b9\u3092\u63c3\u3048\u3066\u6bd4\u8f03\u3059\u308b\u3068\u3044\u3046\u3053\u3068\u3060\u3063\u305f\u304c\uff0c\u30db\u30c9\u30b0\u30e9\u30d5\u3092\u4f7f\u3046\u3068\u81ea\u52d5\u7684\u306b\u59cb\u70b9\u3092\u63c3\u3048\u3066\u8003\u3048\u3066\u3044\u308b\u3002\u52a0\u901f\u5ea6\u306e\u30b0\u30e9\u30d5\u3092 fig. 2.5.3 \u306b\u793a\u3059\u3002<\/p>\n<p><a href=\"http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/04\/20190425b1.png\"><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/04\/20190425b1-298x300.png\" alt=\"\" width=\"298\" height=\"300\" class=\"aligncenter size-medium wp-image-8009\" srcset=\"http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/04\/20190425b1-298x300.png 298w, http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/04\/20190425b1-150x150.png 150w, http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/04\/20190425b1.png 501w\" sizes=\"auto, (max-width: 298px) 100vw, 298px\" \/><\/a>fig. 2.5.3<\/p>\n<p><strong>\u4f8b\u984c 2.1 <\/strong><\/p>\n<p>\u3000(1) \u306f\u53d6\u308a\u6271\u308f\u306a\u304b\u3063\u305f\u3002<br \/>\n\u3000(2) \u306f\u901f\u5ea6\u304c\u4e0e\u3048\u3089\u308c\u3066\uff0c\u79fb\u52d5\u8ddd\u96e2\u3092\u6c42\u3081\u308b\u3002\u7a4d\u5206\u3059\u308b\u65b9\u3067\u3042\u308b\u3002\u901f\u5ea6\u306e\u5f0f\u306f\u4e0b\u8a18\u3002<\/p>\n<ul>\\(v(t) = v_0 &#8211; a \\, t.\\)<\/ul>\n<p>\u901f\u5ea6\u304c\u30bc\u30ed\u3068\u306a\u308b\u6642\u523b\u3092 \\(t_0\\) \u3068\u3057\u3066 (\\(t_0 = v_0 \/ a\\)\uff09\uff0c\\(t_A \\lt t_0 \\lt t_B\\) \u3068\u306a\u308b\u6642\u523b \\(t_A\\) \u304b\u3089\u6642\u523b \\(t_B\\) \u307e\u3067\u306e\uff0c\u306e\u3079\u306e\u8d70\u884c\u8ddd\u96e2\u3092\u6c42\u3081\u308b\u3002\u6559\u79d1\u66f8\u306e\u89e3\u7b54\u306b\u8aa4\u690d\u304c\u3042\u308b\u306e\u3067\u6ce8\u610f\u3002\u6b63\u8aa4\u8868\u306b\u3042\u308b\u306e\u3060\u304c\uff0c\u4e0b\u8a18\u304c\u6b63\u3057\u3044\u89e3\u7b54\u3002<\/p>\n<ul>\\(\\displaystyle \\frac{a}{2} \\, \\left\\{ \\left( t_0 &#8211; t_A \\right)^2 + \\left( t_B &#8211; t_0 \\right)^2 \\right\\}\\)<\/ul>\n<p><strong>\u4f8b\u984c 2.2<\/strong><br \/>\n<span style=\"color: #000099;\"><br \/>\n\u3000\u3053\u306e\u4f8b\u984c\u306f\u6975\u5ea7\u6a19\u306b\u304a\u3051\u308b\u901f\u5ea6\u3084\u52a0\u901f\u5ea6\u306e\u8868\u73fe\u3092\u8003\u3048\u308b\u3082\u306e\u3002\u5ea7\u6a19\u7cfb\u3092\u5909\u66f4\u3059\u308b\u6642\u306b\u904b\u52d5\u306e\u8868\u3057\u65b9\u304c\u3069\u306e\u3088\u3046\u306b\u5909\u308f\u308b\u306e\u304b\u3068\u3044\u3046\u3053\u3068\u3067\u3042\u308b\u304c\uff0c\u5ea7\u6a19\u7cfb\u3092\u5909\u66f4\u3059\u308b\u5fc5\u7136\u6027\u306e\u8aac\u660e\u304c\u96e3\u3057\u3044\u3002\u30c7\u30ab\u30eb\u30c8\u5ea7\u6a19\u7cfb\u4ee5\u5916\u306e\u529b\u5b66\u306e\u8a18\u8ff0\u65b9\u6cd5\u304c\u3042\u308b\u3068\u3044\u3046\u3053\u3068\u3092\u8a71\u306e\u4e2d\u5fc3\u3068\u3059\u308b\u3079\u304d\u306a\u306e\u304b\u3002\u3072\u3068\u3064\u8a00\u3048\u308b\u3053\u3068\u306f\uff0c\u3053\u306e\u7ae0\u306e\u6f14\u7fd2\u554f\u984c\u306b\u3042\u308b\u87ba\u65cb\u904b\u52d5\u306e\u901f\u5ea6\u3084\u52a0\u901f\u5ea6\u3092\uff0c\u6975\u5ea7\u6a19\u7684\u306a\u8868\u73fe\u3092\u3059\u308b\u3068\u304d\uff0c\\(v_{r}\\)\uff0c\\(v_{\\theta}\\)\uff0c\\(a_{r}\\)\uff0c\\(a_{\\theta}\\)\u306b\u73fe\u308c\u308b\u5f0f\u304c\uff0c\u610f\u5473\u4ed8\u3051\u3057\u3084\u3059\u3044\u5f62\u306b\u306a\u3063\u3066\u3044\u308b\u70b9\u304c\u3042\u3052\u3089\u308c\u308b\u3002<br \/>\n<\/span><\/p>\n<p>\u3053\u3053\u306f\uff0c\u6975\u5ea7\u6a19\u3067\u306e\u901f\u5ea6\u3084\u52a0\u901f\u5ea6\u306e\u8868\u3057\u65b9\u3092\u6271\u3046\u3002\u5148\u306b\uff0c\u901f\u5ea6\u306f\u5ea7\u6a19\u306e\u6642\u9593\u5fae\u5206 \\(\\displaystyle \\left( \\frac{d x}{d t} , \\frac{d y}{d t} \\right)\\) \u3067\u8868\u3055\u308c\u305f\u3002\u3057\u304b\u3057\u6975\u5ea7\u6a19\u3067\u306f \\(\\displaystyle \\frac{d r}{d t} \\) \u306f\u901f\u5ea6\u3067\u3042\u308b\u304c \\(\\displaystyle \\frac{d \\theta}{d t} \\) \u306f\u901f\u5ea6\u3092\u8868\u3055\u306a\u3044\u3002\u52a0\u3048\u3066\u6975\u5ea7\u6a19\u3092\u7528\u3044\u308b\u5834\u5408\u3082\u901f\u5ea6\u306f\u30d9\u30af\u30c8\u30eb\u3067\u3042\u308b\u304c\uff0c\u305d\u306e\u6210\u5206\u3092\u8003\u3048\u308b\u305f\u3081\u306b\u306f\uff0c\u307e\u305a\u6210\u5206\u3092\u6c7a\u3081\u308b\u305f\u3081\u306e\u65b9\u5411\u3092\u5b9a\u3081\u308b\u5fc5\u8981\u304c\u3042\u308b\u3002<\/p>\n<p>\u30c7\u30ab\u30eb\u30c8\u5ea7\u6a19\u3067\u306f\uff0c \\(x\\) \u306e\u5024\u304c\u5897\u52a0\u3059\u308b\u6642\u306b\u70b9\u306e\u5ea7\u6a19\u304c\u79fb\u52d5\u3059\u308b\u65b9\u5411\u3092 \\(x\\) \u6210\u5206\u306e\u57fa\u672c\u30d9\u30af\u30c8\u30eb\u306e\u5411\u304d\u3068\u3057\u3066\u3044\u308b\u3002\u6975\u5ea7\u6a19\u3067\u3082 \\(r, \\theta\\) \u304c\u5897\u52a0\u3059\u308b\u6642\u306e\u5ea7\u6a19\u70b9\u304c\u79fb\u52d5\u3059\u308b\u5411\u304d\u3067\u57fa\u672c\u30d9\u30af\u30c8\u30eb\u3092\u5b9a\u3081\u308b\u3002<\/p>\n<p><a href=\"http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/04\/20190425c1.png\"><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/04\/20190425c1-300x196.png\" alt=\"\" width=\"300\" height=\"196\" class=\"aligncenter size-medium wp-image-8011\" srcset=\"http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/04\/20190425c1-300x196.png 300w, http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/04\/20190425c1.png 471w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a><br \/>\n\u305d\u308c\u3086\u3048\uff0c\u8cea\u70b9\u304c\u4e0a\u56f3\u306e\u3088\u3046\u306b\u539f\u70b9\u304b\u3089\u306e\u8ddd\u96e2 \\(r\\) \u3067\uff0c\\(x\\) \u8ef8\u3068\u306e\u89d2\u5ea6 \\(\\theta\\) \u306b\u3042\u308b\u3068\u304d\uff0c\u305d\u306e\u57fa\u672c\u30d9\u30af\u30c8\u30eb \\(\\vec{e_{r}}\\) \u3068 \\(\\vec{e_{\\theta}}\\) \u306f<\/p>\n<ul>\\(\\begin{eqnarray} \\displaystyle \\vec{e_{r}} &#038;=&#038; \\left( \\cos \\theta , \\, \\sin \\theta \\right) \\\\ \\vec{e_{\\theta}} &#038;=&#038; \\left( &#8211; \\sin \\theta , \\, \\cos \\theta \\right) .  \\end{eqnarray}\\)<\/ul>\n<p>\u3053\u306e\u30d9\u30af\u30c8\u30eb\u306f\u70b9\u304c\u3069\u3053\u306b\u3042\u308b\u304b\u306b\u3088\u3063\u3066\u7570\u306a\u308b\u3082\u306e\u3068\u306a\u308b\u3002\u305d\u308c\u3086\u3048\u8cea\u70b9\u304c\u904b\u52d5\u3059\u308b\u5834\u5408\u306a\u3069\u306b\u306f\u6642\u9593\u5909\u5316\u3059\u308b\u3068\u3044\u3046\u3053\u3068\u3067\uff0c\u6559\u79d1\u66f8\u3067\u306f\u554f\u984c(1)\u3068\u3057\u3066\uff0c \\(\\vec{e_{r}}\\) \u3068 \\(\\vec{e_{\\theta}}\\) \u306e\u6642\u9593\u5909\u5316\u3092\u6c42\u3081\u3066\u3044\u308b\u3002<\/p>\n<ul>\\(\\begin{eqnarray} \\displaystyle<br \/>\n\\frac{d \\vec{e_{r}}}{d t} &#038;=&#038; \\left( \\frac{d \\cos \\theta}{d t} , \\, \\frac{d \\sin \\theta}{d t} \\right) \\\\<br \/>\n                          &#038;=&#038; \\left( &#8211; \\sin \\theta \\, \\frac{d \\theta}{d t} , \\, \\cos \\theta \\, \\frac{d \\theta}{d t} \\right) \\\\<br \/>\n                          &#038;=&#038; \\frac{d \\theta}{d t} \\, \\left( &#8211; \\sin \\theta , \\, \\cos \\theta \\right) \\\\<br \/>\n                          &#038;=&#038; \\frac{d \\theta}{d t} \\, \\vec{e_{\\theta}}<br \/>\n\\end{eqnarray}\\)<\/ul>\n<p>\u540c\u69d8\u306b\u3057\u3066<\/p>\n<ul>\\(\\begin{eqnarray} \\displaystyle<br \/>\n\\frac{d \\vec{e_{\\theta}}}{d t} = &#8211; \\frac{d \\theta}{d t} \\, \\vec{e_{r}} . \\\\<br \/>\n\\end{eqnarray}\\)<\/ul>\n<p><span style=\"color: #000099;\"><br \/>\n\u4e0a\u8a18\u306e\u6975\u5ea7\u6a19\u306e\u57fa\u672c\u30d9\u30af\u30c8\u30eb\u306e\u6642\u9593\u5909\u5316\u306b\u95a2\u3057\u3066\u3060\u304c\uff0c\u5f0f\u306e\u4e2d\u306b \\(r\\) \u3084 \\(\\displaystyle \\frac{d r}{d t}\\) \u304c\u73fe\u308c\u306a\u3044\u3002\u3053\u308c\u306f\uff0c \\(r\\) \u304c\u5909\u5316\u3057\u3066\u3082\uff0c\u6975\u5ea7\u6a19\u306e\u57fa\u672c\u30d9\u30af\u30c8\u30eb\u306b\u306f\u5909\u5316\u304c\u7121\u3044\u3053\u3068\u3092\u793a\u3057\u3066\u3044\u308b\u3002\u3057\u304b\u3057  \\(\\theta\\) \u304c\u5909\u5316\u3059\u308b\u3068\uff0c \\(\\vec{e_{r}}\\) \u3084 \\(\\vec{e_{\\theta}}\\) \u304c\u56de\u8ee2\u3059\u308b\u3002\u30d9\u30af\u30c8\u30eb\u306e\u56de\u8ee2\u306a\u306e\u3067\uff0c\u7b49\u901f\u5186\u904b\u52d5\u306e\u901f\u5ea6\u3068\u52a0\u901f\u5ea6\u306e\u95a2\u4fc2\u3068\u540c\u3058\u3088\u3046\u306b\uff0c\u5909\u5316\u306f\u305d\u308c\u305e\u308c\u306e\u57fa\u672c\u30d9\u30af\u30c8\u30eb\u306e\u65b9\u5411\u306b\u5bfe\u3057\u3066\u76f4\u4ea4\u3059\u308b\u5411\u304d\u3068\u306a\u308b\u3002\u305d\u308c\u3067\uff0c \\(\\vec{e_{r}}\\) \u306e\u6642\u9593\u5909\u5316\u306f\uff0c\u305d\u308c\u3068\u76f4\u4ea4\u3059\u308b \\(\\vec{e_{\\theta}}\\) \u306e\u5411\u304d\u3068\u306a\u308b\u3002<br \/>\n<\/span><\/p>\n<p><span style=\"color: #ff0000;\">\u3053\u306e\u3042\u305f\u308a\u30673\u65e5\u76ee\u306e\u7d42\u308f\u308a\u3002\u9014\u4e2d\u3067\u6642\u9593\u5207\u308c\u3002<\/span><\/p>\n<p><span style=\"color: #000099;\"><br \/>\n\u554f\u984c(2)\u3067\u306f\u5186\u904b\u52d5\u306e\u5834\u5408\u306e\u901f\u5ea6\u30d9\u30af\u30c8\u30eb\u3084\u52a0\u901f\u5ea6\u30d9\u30af\u30c8\u30eb\u3092\u6c42\u3081\u308b\u3002\u30c7\u30ab\u30eb\u30c8\u5ea7\u6a19\u306e\u5834\u5408\u3068\u540c\u69d8\u306b\uff0c\u4f4d\u7f6e\u3092\u8868\u3059\u5f0f\u3092\u6642\u9593\u3067\u5fae\u5206\u3057\u3066\u901f\u5ea6\u306e\u5f0f\u3092\u5f97\u3066\uff0c\u307e\u305f\u305d\u308c\u3092\u6642\u9593\u3067\u5fae\u5206\u3057\u3066\u52a0\u901f\u5ea6\u306e\u5f0f\u3092\u5f97\u308b\u3002\u305d\u308c\u6545\uff0c\u59cb\u307e\u308a\u306f\u6975\u5ea7\u6a19\u306e\u5834\u5408\u306e\u4f4d\u7f6e\u30d9\u30af\u30c8\u30eb\u304b\u3089\u59cb\u3081\u308b\u3002<\/p>\n<p>\u4ee5\u4e0b\u3067\u306f\uff0c\u6559\u79d1\u66f8\u3068\u306f\u7570\u306a\u308b\u304c\uff0c\u5186\u904b\u52d5\u306b\u9650\u5b9a\u305b\u305a\u6975\u5ea7\u6a19\u306b\u304a\u3051\u308b\u4e00\u822c\u7684\u306a\u901f\u5ea6\u30d9\u30af\u30c8\u30eb\u3092\u8003\u3048\u3066\u307f\u308b\u3002<br \/>\n<\/span><\/p>\n<p>\u3000\u6975\u5ea7\u6a19\u306b\u304a\u3051\u308b\u4f4d\u7f6e\u30d9\u30af\u30c8\u30eb \\(\\vec{r}\\) \u306f\uff0c\\(\\vec{r} = r \\, \\vec{e_{r}}\\) \u3068\u8868\u3055\u308c\u308b\u306e\u3067\uff0c\u3053\u308c\u3092\u6642\u9593\u5fae\u5206\u3057\u3066\u901f\u5ea6\u3092\u6c42\u3081\u308b\u3002<\/p>\n<ul>\\(\\begin{eqnarray} \\displaystyle<br \/>\n\\vec{v} &#038;=&#038; \\frac{d \\vec{r}}{d t} \\\\<br \/>\n        &#038;=&#038; \\frac{d r}{d t} \\, \\vec{e_{r}} + r \\,  \\frac{d \\vec{e_{r}}}{d t}\\\\<br \/>\n        &#038;=&#038; \\frac{d r}{d t} \\, \\vec{e_{r}} + r \\,  \\frac{d \\theta}{d t} \\, \\vec{e_{\\theta}}<br \/>\n\\end{eqnarray}\\)<\/ul>\n<p>\u4e0a\u8a18\u306e\u69d8\u306b\uff0c\u6975\u5ea7\u6a19\u3067\u901f\u5ea6\u3092\u8003\u3048\u308b\u3068\u3059\u3050\u306b\u57fa\u672c\u30d9\u30af\u30c8\u30eb\u306e\u6642\u9593\u5fae\u5206\u304c\u51fa\u3066\u304f\u308b\u3002\u52a0\u901f\u5ea6\u3092\u8003\u3048\u308b\u3068\u4e0b\u8a18\u306e\u3088\u3046\u306b \\(\\vec{e_{\\theta}}\\) \u306e\u6642\u9593\u5fae\u5206\u3082\u51fa\u3066\u304f\u308b\u3002<\/p>\n<ul>\\(\\begin{eqnarray} \\displaystyle<br \/>\n\\vec{a} &#038;=&#038; \\frac{d \\vec{v}}{d t} \\\\<br \/>\n        &#038;=&#038; \\frac{d}{d t} \\left\\{ \\frac{d r}{d t} \\, \\vec{e_{r}} + r \\,  \\frac{d \\theta}{d t} \\, \\vec{e_{\\theta}} \\right\\} \\\\<br \/>\n        &#038;=&#038; \\frac{d^2 r}{d t^2} \\, \\vec{e_{r}} + 2 \\, \\frac{d r}{d t} \\,  \\frac{d \\theta}{d t} \\, \\vec{e_{\\theta}} + r \\,  \\frac{d^2 \\theta}{d t^2} \\, \\vec{e_{\\theta}}  &#8211; r \\,  \\left( \\frac{d \\theta}{d t} \\right)^2 \\, \\vec{e_{r}}\\\\<br \/>\n        &#038;=&#038; \\left\\{ \\frac{d^2r}{dt^2} &#8211; r \\, \\left( \\frac{d \\theta}{d t} \\right)^2\\right\\} \\, \\vec{e_r} + \\left\\{ 2 \\, \\frac{d r}{d t} \\,  \\frac{d \\theta}{d t}  + r \\,  \\frac{d^2 \\theta}{d t^2} \\right\\} \\, \\vec{e_{\\theta}}<br \/>\n\\end{eqnarray}\\)<\/ul>\n<p><span style=\"color: #000099;\"><br \/>\n\u7d50\u5c40\uff0c\u57fa\u5e95\u304c\u5909\u308f\u308b\u306e\u306b\u5408\u308f\u305b\u3066\uff0c\u901f\u5ea6\u3084\u52a0\u901f\u5ea6\u3092\u5225\u306a\u57fa\u5e95\u3067\u8868\u3057\u305f\u3060\u3051\uff08\u57fa\u5e95\u306e\u5411\u304d\u304c\u5909\u308f\u308b\uff09\u3002\u5909\u6570\u306b\u95a2\u3057\u3066\u3082  \\(x\\) \u3084  \\(y\\)\uff0c\\(\\displaystyle \\frac{d x}{d t} \\) \u3092\u4f7f\u3046\u306e\u3067\u306f\u306a\u304f\uff0c  \\(r\\) \uff0c \\(\\theta\\)\uff0c\\(\\displaystyle \\frac{d r}{d t} \\) \u7b49\u3067\u305d\u306e\u6210\u5206\u3092\u8868\u73fe\u3057\u3066\u3044\u308b\u3002<br \/>\n<\/span><\/p>\n<p><a href=\"http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2022\/05\/20220511a.png\"><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2022\/05\/20220511a-736x1024.png\" alt=\"\" width=\"600\" height=\"835\" class=\"aligncenter size-large wp-image-10869\" srcset=\"http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2022\/05\/20220511a-736x1024.png 736w, http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2022\/05\/20220511a-215x300.png 215w, http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2022\/05\/20220511a-768x1069.png 768w, http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2022\/05\/20220511a-600x835.png 600w, http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2022\/05\/20220511a.png 1048w\" sizes=\"auto, (max-width: 600px) 100vw, 600px\" \/><\/a><\/p>\n<p><span style=\"color: #000099;\"><br \/>\n\u6975\u5ea7\u6a19\u3067\u8868\u3057\u305f\u5834\u5408\uff0c\u30d9\u30af\u30c8\u30eb\u306e\u6210\u5206\u3067\u3042\u308b \\(v_{r}\\)\uff0c\\(v_{\\theta}\\)\uff0c\\(a_{r}\\)\uff0c\\(a_{\\theta}\\) \u3092\u8868\u3059\u5f0f\u306b\uff0c\u7b49\u901f\u5186\u904b\u52d5\u306e\u901f\u5ea6\u3084\u5411\u5fc3\u52a0\u901f\u5ea6\u304c\u8868\u308c\u3066\u3044\u3066\uff0c\u89e3\u91c8\u304c\u5bb9\u6613\u3067\u3042\u308b\u3002\u3053\u306e\u8fba\u304c\u6975\u5ea7\u6a19\u3092\u4f7f\u7528\u3059\u308b\u5229\u70b9\u304b\u306a\u3068\u601d\u3046\u3002<br \/>\n<\/span><\/p>\n<p><strong>\uff12\u7ae0\u6f14\u7fd2\u554f\u984c<\/strong><\/p>\n<p> <span style=\"color: #ff0000;\">\u6642\u9593\u304c\u306a\u304f\u3066 [6] (3) \u306e\u307f\u3092\u5b9f\u65bd\u3002<\/span><\/p>\n<p><strong>[3]<\/strong> <span style=\"color: #000099;\">\u6642\u9593\u304c\u306a\u304f\u3066\u30d1\u30b9<\/span><\/p>\n<p> 1\u6b21\u5143\u306e\u904b\u52d5\u3067\u5ea7\u6a19\u306e\u6642\u9593\u5909\u5316\u304c\u30b0\u30e9\u30d5\u3068\u3057\u3066\u4e0e\u3048\u3089\u308c\u3066\u3044\u308b\u3002(1) \u306f\u30b0\u30e9\u30d5\u304b\u3089\u5e73\u5747\u306e\u901f\u5ea6\u3092\u6c42\u3081\u308b\u3002(2) \u306f\u30b0\u30e9\u30d5\u304b\u3089\u901f\u5ea6\u3092\u6c42\u3081\u308b\u554f\u984c\u3060\u304c\u30b0\u30e9\u30d5\u306b\u63a5\u7dda\u3092\u5f15\u304f\u5fc5\u8981\u304c\u3042\u308a\uff0c\u66d6\u6627\u306a\u89e3\u7b54\u306b\u306a\u308b\u3002(4) \u306e\u5f8c\u3067\u89e3\u7b54\u3057\u3066\u3082\u826f\u3044\u3002(3) \u306f\u30b0\u30e9\u30d5\u306e\u5f0f\u3092\u6c42\u3081\u308b\u554f\u984c\u30022\u6b21\u5f0f\u3067\u3042\u308b\u3068\u9650\u5b9a\u3055\u308c\u3066\u3044\u308b\u306e\u3067\u660e\u78ba\u306b\u5b9a\u307e\u308b\u3002(4) \u306f\u7b49\u52a0\u901f\u5ea6\u904b\u52d5\u3067\u3042\u308b\u3053\u3068\u3092\u793a\u3059\u554f\u984c\u3002\u5fae\u5206\u3057\u3066\u901f\u5ea6\u3092\u51fa\u3057\uff0c\u901f\u5ea6\u3092\u5fae\u5206\u3057\u3066\u52a0\u901f\u5ea6\u3092\u51fa\u3059\u3002\u5fae\u5206\u3092\u4f7f\u3046\u3068\u3053\u308d\u304c\u6f14\u7fd2\u306e\u30dd\u30a4\u30f3\u30c8\u3002<\/p>\n<p><strong>[4]<\/strong> <span style=\"color: #000099;\">\u6642\u9593\u304c\u306a\u304f\u3066\u30d1\u30b9<\/span><\/p>\n<p>\u3000\\({v_1}^2 &#8211; {v_2}^2 = 2 \\, a \\, s\\) \u3092\u5c0e\u304f\u554f\u984c\u3002\u3053\u306e\u5f0f\u306f\u601d\u3044\u51fa\u3057\u3066\u304a\u3044\u305f\u65b9\u304c\u826f\u3044\u30026\u7ae0\u306e\u30a8\u30cd\u30eb\u30ae\u30fc\u306e\u8a71\u306b\u3082\u7e4b\u304c\u308b\u3002<\/p>\n<p><strong>[6] \u306e(3)<\/strong><br \/>\n<span style=\"color: #000099;\"><br \/>\n\u4e0b\u8a18\u3067\u306f\uff0c\u30c7\u30ab\u30eb\u30c8\u5ea7\u6a19\u3067\u306e \\(x, y\\) \u6210\u5206\u3092\u6642\u9593\u3067\u5fae\u5206\u3057\u3066\u901f\u5ea6\u3084\u52a0\u901f\u5ea6\u3092\u5f97\u308b\u3002\u3053\u308c\u3068\u306f\u5225\u306b\u4f8b\u984c 2.2 \u306e\u3068\u3053\u308d\u3067\u5c0e\u3044\u305f\u5f0f\u3092\u5229\u7528\u3057\u3066\u3082\u826f\u3044\u3060\u308d\u3046\u3002\u4f8b\u984c 2.2 \u3092\u53d6\u308a\u6271\u3046\u3068\u304d\u306b\u5186\u904b\u52d5\u306b\u9650\u5b9a\u305b\u305a\u4e00\u822c\u7684\u306a\u904b\u52d5\u3068\u3057\u3066\u6975\u5ea7\u6a19\u3067\u306e\u901f\u5ea6\u52a0\u901f\u5ea6\u306e\u5f0f\u3092\u7d44\u307f\u7acb\u3066\u305f\u306e\u3067\uff0c\u305d\u308c\u304c\u3053\u3053\u3067\u5229\u7528\u3067\u304d\u308b\u3002<br \/>\n<\/span><\/p>\n<p> \u87ba\u65cb\u904b\u52d5\u306e\u8ecc\u9053\uff0c\u901f\u5ea6\uff0c\u52a0\u901f\u5ea6\u3092\u6c42\u3081\u308b\u554f\u984c\u3002\u5ea7\u6a19\u306f\u4ee5\u4e0b\u306e\u69d8\u306a\u5f0f\u3067\u8868\u3055\u308c\u308b\u3002<\/p>\n<ul>\\(\\begin{eqnarray} \\displaystyle<br \/>\nx &#038;=&#038; v_0 \\, t \\cos \\omega \\, t \\\\<br \/>\ny &#038;=&#038; v_0 \\, t \\sin \\omega \\, t<br \/>\n\\end{eqnarray}\\)<\/ul>\n<p>\u30b3\u30f3\u30d4\u30e5\u30fc\u30bf\u30fc\u3067\u8ecc\u8de1\u3092\u63cf\u3044\u3066\u307f\u308b\u3002<\/p>\n<p><a href=\"http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/04\/\u30a2\u30eb\u30ad\u30e1\u30c7\u30b9\u306e\u87ba\u65cb.png\"><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/04\/\u30a2\u30eb\u30ad\u30e1\u30c7\u30b9\u306e\u87ba\u65cb-300x273.png\" alt=\"\" width=\"300\" height=\"273\" class=\"aligncenter size-medium wp-image-8040\" srcset=\"http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/04\/\u30a2\u30eb\u30ad\u30e1\u30c7\u30b9\u306e\u87ba\u65cb-300x273.png 300w, http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/04\/\u30a2\u30eb\u30ad\u30e1\u30c7\u30b9\u306e\u87ba\u65cb-600x545.png 600w, http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/04\/\u30a2\u30eb\u30ad\u30e1\u30c7\u30b9\u306e\u87ba\u65cb.png 720w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a><\/p>\n<p>\u6975\u5ea7\u6a19\u3067\u8003\u3048\u308b\u304c\uff0c \\(r = v_0 \\, t\\) \u3067\uff0c\u307e\u305f \\(\\theta = \\omega \\, t\\) \u3002\u3053\u308c\u304b\u3089\u8ecc\u8de1\u306e\u5f0f\u3068\u3057\u3066\u4e0b\u8a18\u304c\u5f97\u3089\u308c\u308b\u3002<\/p>\n<ul>\\(\\displaystyle<br \/>\nr = \\frac{v_0}{\\omega} \\, \\theta<br \/>\n\\)<\/ul>\n<p>\u89d2\u5ea6\u3068\u539f\u70b9\u304b\u3089\u306e\u8ddd\u96e2\u304c\u6bd4\u4f8b\u3057\u3066\u3044\u308b\u5f0f\u3067\u3042\u308b\u3002\u3057\u304b\u3057\u8ecc\u8de1\u306e\u30a4\u30e1\u30fc\u30b8\u306f\u96e3\u3057\u3044\u3002\u901f\u5ea6\u3092\u6c42\u3081\u308b\u3002<\/p>\n<ul>\\(\\begin{eqnarray} \\displaystyle<br \/>\nv_x &#038;=&#038; \\frac{d x}{d t} \\\\<br \/>\n    &#038;=&#038; v_0 \\, \\cos \\omega \\, t  &#8211; \\omega \\, v_0 \\, t \\, \\sin \\omega \\, t\\\\<br \/>\nv_y &#038;=&#038; \\frac{d y}{d t} \\\\<br \/>\n    &#038;=&#038; v_0 \\, \\sin \\omega \\, t  + \\omega \\, v_0 \\, t \\, \\cos \\omega \\, t\\\\<br \/>\n\\end{eqnarray}\\)<\/ul>\n<p>\u3088\u3063\u3066\u901f\u5ea6\u30d9\u30af\u30c8\u30eb\u306f<\/p>\n<ul>\\(\\begin{eqnarray} \\displaystyle<br \/>\n\\vec{v} &#038;=&#038; \\left( v_x , \\, v_y \\right) \\\\<br \/>\n        &#038;=&#038; v_0 \\, \\left( \\cos \\omega \\, t , \\, \\sin \\omega \\, t \\right) + \\omega \\, v_0 \\, t \\, \\left( &#8211; \\sin \\omega \\, t , \\, \\cos \\omega \\, t \\right)\\\\<br \/>\n        &#038;=&#038; v_0 \\, \\vec{e_r}  + \\omega \\, v_0 \\, t \\, \\vec{e_{\\theta}}<br \/>\n\\end{eqnarray}\\)<\/ul>\n<p>\u3053\u306e\u5f0f\u306f\u5148\u307b\u3069\u306e\u4f8b\u984c 2.2 \u3067\u5c0e\u3044\u305f\u6975\u5ea7\u6a19\u306e\u901f\u5ea6\u306e\u5f0f \\(\\displaystyle \\vec{v} = \\frac{d r}{d t} \\, \\vec{e_{r}} + r \\,  \\frac{d \\theta}{d t} \\, \\vec{e_{\\theta}} \\) \u3068\u6bd4\u8f03\u3055\u308c\u308b\u5f0f\u3067\u3042\u308b\u3002\u3053\u306e\u87ba\u65cb\u306e\u5f0f\u306e\u5834\u5408  \\(r = v_0 \\, t\\) \u3067\uff0c \\(\\theta = \\omega \\, t\\) \u3067\u3042\u308b\u306e\u3067\uff0c\u78ba\u304b\u306b \\(\\displaystyle \\frac{d r}{d t} = v_0\\) \u3067 \\(\\displaystyle r \\, \\frac{d \\theta}{d t} = v_0 \\, t \\, \\omega\\) \u3068\u306a\u3063\u3066\u3044\u3066\u5148\u306e\u8a08\u7b97\u306e\u901a\u308a\u3002<\/p>\n<p>\u3000\u52a0\u901f\u5ea6\u3092\u6c42\u3081\u308b\u3002<\/p>\n<ul>\\(\\begin{eqnarray} \\displaystyle<br \/>\na_x &#038;=&#038; \\frac{d v_x}{d t} \\\\<br \/>\n    &#038;=&#038; &#8211; 2 \\, \\omega \\, v_0 \\, \\sin \\omega \\, t  &#8211; {\\omega}^2 \\, v_0 \\, t \\, \\cos \\omega \\, t\\\\<br \/>\na_y &#038;=&#038; \\frac{d v_y}{d t} \\\\<br \/>\n    &#038;=&#038; 2 \\, \\omega \\, v_0 \\, \\cos \\omega \\, t  &#8211; {\\omega}^2 \\, v_0 \\, t \\, \\sin \\omega \\, t\\\\<br \/>\n\\end{eqnarray}\\)<\/ul>\n<p>\u3088\u3063\u3066\u52a0\u901f\u5ea6\u30d9\u30af\u30c8\u30eb\u306f<\/p>\n<ul>\\(\\begin{eqnarray} \\displaystyle<br \/>\n\\vec{a} &#038;=&#038; \\left( a_x , \\, a_y \\right) \\\\<br \/>\n        &#038;=&#038; 2 \\, \\omega \\, v_0 \\, \\left( &#8211; \\sin \\omega \\, t , \\, \\cos \\omega \\, t \\right) &#8211; {\\omega}^2 \\, v_0 \\, t \\, \\left( \\cos \\omega \\, t , \\, \\sin \\omega \\, t \\right)\\\\<br \/>\n        &#038;=&#038; 2 \\, \\omega \\, v_0 \\, \\vec{e_{\\theta}}  &#8211; {\\omega}^2 \\, v_0 \\, t \\, \\vec{e_r}<br \/>\n\\end{eqnarray}\\)<\/ul>\n<p>  \\(r = v_0 \\, t\\) \u3067\u3042\u308b\u3053\u3068\u3092\u8003\u3048\u308b\u3068\u5f8c\u308d\u306e\u9805\u306f\u5186\u904b\u52d5\u306e\u5411\u5fc3\u52a0\u901f\u5ea6\u3067\u3042\u308b\u3002\u524d\u306e\u9805\u306f\u5f62\u304b\u3089\u8a00\u3048\u3070\u30b3\u30ea\u30aa\u30ea\u529b\u306b\u95a2\u3059\u308b\u52a0\u901f\u5ea6\u306e\u3088\u3046\u306b\u898b\u3048\u308b\u3002<br \/>\n<span style=\"color: #000099;\"><br \/>\n\u52a0\u901f\u5ea6\u306e\u3068\u3089\u3048\u65b9\u306b\u6238\u60d1\u3046\u3068\u3053\u308d\u3002\u3053\u306e\u3088\u3046\u306a\u52a0\u901f\u5ea6\u3067\u3042\u308b\u3068\u3044\u3046\u3053\u3068\u306f\uff0c\u3053\u306e\u87ba\u65cb\u904b\u52d5\u3092\u3059\u308b\u305f\u3081\u306b\u306f\uff0c\u3053\u306e\u3088\u3046\u306a\u52a0\u901f\u5ea6\uff0c\u3064\u307e\u308a\u529b\u304c\u5fc5\u8981\u3060\u3068\u8003\u3048\u308b\u3079\u304d\u304b\u3002<br \/>\n<\/span><\/p>\n<p>\u4f8b\u984c 2.2 \u3067\u5c0e\u3044\u305f\u6975\u5ea7\u6a19\u306e\u52a0\u901f\u5ea6\u306e\u5f0f\u306f\uff0c<\/p>\n<ul>\\(\\displaystyle<br \/>\n\\vec{a} = \\left\\{ \\frac{d^2r}{dt^2} &#8211; r \\, \\left( \\frac{d \\theta}{d t} \\right)^2\\right\\} \\, \\vec{e_r} + \\left\\{ 2 \\, \\frac{d r}{d t} \\,  \\frac{d \\theta}{d t}  + r \\,  \\frac{d^2 \\theta}{d t^2} \\right\\} \\, \\vec{e_{\\theta}}\\)<\/ul>\n<p>\u3053\u306e\u87ba\u65cb\u306e\u5f0f\u306e\u5834\u5408  \\(r = v_0 \\, t\\) \u3067\uff0c \\(\\theta = \\omega \\, t\\) \u3067\u3042\u308a\uff0c\u3088\u3063\u3066 \\(\\displaystyle \\frac{d r}{d t} = v_0\\) \uff0c \\(\\displaystyle \\frac{d^2 r}{d t^2} = 0\\) \uff0c \\(\\displaystyle  \\frac{d \\theta}{d t} = \\omega\\)\uff0c\\(\\displaystyle \\frac{d^2 \\theta}{d t^2} = 0\\) \u3068\u306a\u3063\u3066\uff0c\u3053\u308c\u3092\u4e0a\u5f0f\u306b\u4ee3\u5165\u3059\u308c\u3070\u5148\u3068\u540c\u3058\u7d50\u679c\u3092\u5f97\u308b\u3002<\/p>\n<p><strong>[8]<\/strong> <span style=\"color: #000099;\">\u6642\u9593\u304c\u306a\u304f\u3066\u30d1\u30b9<\/span><\/p>\n<p>\u3000\u7b49\u901f\u5186\u904b\u52d5\u306e\u554f\u984c\u3002\u534a\u5f84\u304c\u4e0d\u660e\u306e\u5186\u5f62\u9053\u8def\u3092\u81ea\u52d5\u8eca\u304c \\(72 \\mathrm{km\/h}\\) \u3067\u8d70\u308b\u3002\u89d2\u901f\u5ea6\uff0c\u5186\u306e\u534a\u5f84\uff0c\u5411\u5fc3\u52a0\u901f\u5ea6\u3092\u6c42\u3081\u308b\u3002<\/p>\n<p><span style=\"color: #ff0000;\">\u3053\u306e\u3042\u305f\u308a\u30674\u65e5\u76ee\u306e\u7d42\u308f\u308a\u3002<\/span><\/p>\n<p><strong>e-learning \u7df4\u7fd2\u554f\u984c01<\/strong><\/p>\n<p><span style=\"color: #000099;\"><br \/>\n\u3000\u6559\u79d1\u66f8\u3068\u306f\u5225\u306b e-learning \u3067\u7df4\u7fd2\u554f\u984c\u3092\u5b9f\u65bd\u3059\u308b\u3002\u4e0b\u8a18\u304c\u305d\u306e\u554f\u984c\u3002\u6f14\u7fd2\u3068\u3057\u3066\u306f\u7c21\u5358\u306a\u3082\u306e\u3067\u3042\u308b\u304c\uff0c\u6b21\u306e3\u7ae0\u3067\u904b\u52d5\u306e\u6cd5\u5247\u306b\u5165\u308b\u306e\u3067\uff0c\u30ac\u30ea\u30ec\u30aa\u306e\u8a71\u3092\u3059\u308b\u3068\u3053\u308d\u3060\u3068\u601d\u3046\u3002<br \/>\n<\/span><\/p>\n<p><a href=\"http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/05\/20190428a.png\"><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/05\/20190428a-298x300.png\" alt=\"\" width=\"298\" height=\"300\" class=\"aligncenter size-medium wp-image-8076\" srcset=\"http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/05\/20190428a-298x300.png 298w, http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/05\/20190428a-150x150.png 150w, http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/05\/20190428a-600x604.png 600w, http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/05\/20190428a.png 677w\" sizes=\"auto, (max-width: 298px) 100vw, 298px\" \/><\/a><\/p>\n<p>\u30ac\u30ea\u30ec\u30aa\u306f\u91cd\u529b\u306b\u3088\u308b\u843d\u4e0b\u904b\u52d5\u3092\u4e00\u69d8\u306a\u52a0\u901f\u904b\u52d5\u3068\u8003\u3048\u305f\u304c\uff0c\u4e00\u69d8\u306a\u52a0\u901f\u306b\u306f\u4e8c\u3064\u306e\u53ef\u80fd\u6027\u304c\u3042\u308b\u3068\u8003\u3048\u305f\u3002\u3072\u3068\u3064\u306f\u843d\u4e0b\u8ddd\u96e2\u306b\u6bd4\u4f8b\u3057\u3066\u901f\u5ea6\u304c\u5897\u52a0\u3059\u308b\u5834\u5408\u3068\uff0c\u3082\u3046\u3072\u3068\u3064\u306f\u6642\u9593\u306b\u6bd4\u4f8b\u3057\u3066\u901f\u5ea6\u304c\u5897\u52a0\u3059\u308b\u5834\u5408\u3067\u3042\u308b\u3002\u3057\u304b\u3057\u8ddd\u96e2\u306b\u6bd4\u4f8b\u3059\u308b\u5834\u5408\u306b\u306f\uff0c\u3069\u306e\u3088\u3046\u306a\u8ddd\u96e2\u3092\u843d\u4e0b\u3059\u308b\u5834\u5408\u306b\u3082\u5fc5\u8981\u3068\u306a\u308b\u6642\u9593\u304c\u540c\u3058\u6642\u9593\u3068\u306a\u308a\u89b3\u5bdf\u3068\u77db\u76fe\u3059\u308b\uff08\u8ddd\u96e2\u306b\u6bd4\u4f8b\u3059\u308b\u901f\u5ea6\u3068\u306a\u308b\u5834\u5408\u306f\u5358\u632f\u308a\u5b50\u306e\u904b\u52d5\u306e\u3088\u3046\u306a\u5834\u5408\u3002\u632f\u5e45\u306b\u95a2\u308f\u3089\u305a\u5468\u671f\u304c\u540c\u3058\uff09\u3002\u305d\u308c\u3067\u3082\u3046\u3072\u3068\u3064\u306e\u6642\u9593\u306b\u6bd4\u4f8b\u3059\u308b\u3068\u3057\u3066\u4eee\u8aac\u3092\u7acb\u3066\uff0c\u6709\u540d\u306a\u659c\u9762\u306e\u5b9f\u9a13\u3092\u8a66\u307f\u305f\u3002\u305d\u306e\u5b9f\u9a13\u3067\u306f\u7269\u4f53\u304c\u901a\u904e\u3059\u308b\u8ddd\u96e2\u3068\u305d\u308c\u306b\u304b\u304b\u308b\u6642\u9593\u306e\u95a2\u4fc2\u3092\u89b3\u6e2c\u3057\u305f\u304c\uff0c\u307e\u305f\u5225\u306e\u65b9\u6cd5\u3067\u3082\u5b9f\u9a13\u3057\u3066\u3044\u3066\uff0c\u305d\u308c\u304c\u4e0a\u306e\u554f\u984c\u306b\u3042\u308b\u7b49\u3057\u3044\u6642\u9593\u9593\u9694\u3067\u97f3\u3092\u9cf4\u3089\u3059\u3088\u3046\u306b\u30d9\u30eb\u3092\u914d\u7f6e\u3059\u308b\u5b9f\u9a13\u3067\u3042\u308b\u3002\\(v &#8211; t\\) \u30b0\u30e9\u30d5\u3092\u66f8\u3044\u3066\u305d\u306e\u9762\u7a4d\u3092\u4f7f\u3063\u3066\u8003\u3048\u308c\u3070\u3059\u3050\u5206\u304b\u308b\u304c\uff0c\u30d9\u30eb\u306e\u9593\u9694\u306f\u5947\u6570\u306e\u4e26\u3073\u3068\u306a\u308b\u3002<\/p>\n<p><strong><span style=\"color: #ff0000;\">\uff13\u7ae0 \u529b\u3068\u904b\u52d5<\/span><\/strong><\/p>\n<p><span style=\"color: #000099;\"><br \/>\n\u3000\u904b\u52d5\u5b66\u304b\u3089\u529b\u5b66\u3078\u3068\u5207\u308a\u66ff\u308f\u308b\u7ae0\u3067\u3042\u308b\u3002\u3053\u308c\u307e\u3067\u3068\u3053\u308d\u529b\u306b\u95a2\u3059\u308b\u8a18\u8ff0\u3068\u3057\u3066\u306f\uff0c\u30bc\u30ed\u7ae0\u306b\u300c\u65e5\u5e38\u7d4c\u9a13\u306b\u57fa\u3065\u3044\u305f\u5e38\u8b58\u7684\u306a\u529b\u306e\u6982\u5ff5\u3092\u7528\u3044\u3066\u8a71\u3092\u9032\u3081\u308b\u300d\u3068\u3042\u308b\u3002\u5b66\u751f\u306f\u9ad8\u6821\u3067\u529b\u5b66\u3092\u5b66\u3093\u3067\u3044\u308b\u306e\u3067\uff0c\u65e5\u5e38\u7d4c\u9a13\u4ee5\u5916\u306b\u3082\u529b\u306b\u95a2\u3057\u3066\u3059\u3067\u306b\u4f55\u3089\u304b\u306e\u30a2\u30a4\u30c7\u30a3\u30a2\u3092\u6709\u3057\u3066\u3044\u308b\u3060\u308d\u3046\u3002\u30a2\u30ea\u30b9\u30c8\u30c6\u30ec\u30b9\u7684\u306a\u529b\u5b66\u3067\u306f\u5730\u8868\u9762\u306e\u91cd\u529b\u3092\u529b\u3068\u306f\u307f\u306a\u3055\u305a\uff0c\u843d\u4e0b\u904b\u52d5\u306f\u81ea\u7136\u306a\u904b\u52d5\u3068\u8003\u3048\u3066\u3044\u305f\u3002\u6469\u64e6\u529b\u3084\u5782\u76f4\u6297\u529b\u3082\u529b\u3068\u306f\u307f\u306a\u3057\u3066\u3044\u306a\u304b\u3063\u305f\u3060\u308d\u3046\u3057\uff0c\u4e07\u6709\u5f15\u529b\u306f\u305d\u306e\u5b58\u5728\u3082\u610f\u8b58\u3057\u3066\u3044\u306a\u3044\u3002\u8b1b\u7fa9\u3067\u306f\u3053\u308c\u3089\u3059\u3079\u3066\u3092\u6700\u521d\u304b\u3089\u529b\u3068\u3057\u3066\u8a9e\u308b\u3002\u529b\u3068\u3044\u3046\u8a00\u8449\u306b\u3069\u3093\u306a\u610f\u5473\u3092\u8ca0\u308f\u305b\u3066\u3044\u308b\u306e\u304b\u3002<br \/>\n\u3000\u904b\u52d5\u5b66\u304b\u3089\u30cb\u30e5\u30fc\u30c8\u30f3\u306e\u4e09\u6cd5\u5247\u3078\u306e\u5c55\u958b\u306f\uff0c\u7269\u7406\u3092\u521d\u3081\u3066\u5b66\u3076\u4eba\u306b\u306f\u3069\u306e\u3088\u3046\u306b\u898b\u3048\u308b\u306e\u3060\u308d\u3046\u304b\u3002\u4e09\u6cd5\u5247\u3092\u516c\u7406\u3068\u3057\u3066\u529b\u5b66\u3092\u5c55\u958b\u3057\u3066\u3044\u304f\u69cb\u6210\u3060\u3068\u3044\u3046\u610f\u898b\u3082\u3042\u308b\u3002\u3057\u304b\u3057\uff0c\u3053\u306e\u4e09\u6cd5\u5247\u306b\u3088\u3063\u3066\u529b\u5b66\u7684\u73fe\u8c61\u306e\u898b\u901a\u3057\u304c\u826f\u304f\u306a\u308b\u3068\u3044\u3046\u611f\u899a\u306f\u306a\u3044\u3002\u516c\u7406\u306b\u306f\u5143\u6765\u305d\u306e\u3088\u3046\u306a\u5f79\u5272\u306f\u306a\u3044\u306e\u304b\u3082\u3057\u308c\u306a\u3044\u304c\u3002<br \/>\n\u3000\u3053\u306e\u7ae0\u306e\u8a71\u306e\u306f\u3058\u3081\u3068\u3057\u3066\uff0c\u30a2\u30ea\u30b9\u30c8\u30c6\u30ec\u30b9\u7684\u306a\u904b\u52d5\u5b66\u304b\u3089\u59cb\u3081\u3066\u3082\u826f\u3044\u304b\u3082\u3057\u308c\u306a\u3044\u3002\u904b\u52d5\u3068\u306f\u3069\u306e\u3088\u3046\u306a\u3082\u306e\u304b\u3002\u6211\u3005\u306b\u306f\u305d\u308c\u304c\u3069\u306e\u3088\u3046\u306b\u898b\u3048\u308b\u306e\u304b\u3002\u529b\u3092\u52a0\u3048\u308b\u3068\u52d5\u304d\u51fa\u3057\uff0c\u3057\u3070\u3089\u304f\u3059\u308b\u3068\u6b62\u307e\u308b\u3002\u6295\u3052\u3089\u308c\u305f\u30dc\u30fc\u30eb\u306f\u3057\u3070\u3089\u304f\u904b\u52d5\u3092\u7d9a\u3051\u308b\uff0c\u306a\u3069\u306a\u3069\u3002\u305d\u308c\u3089\u306e\u7d20\u6734\u306a\u89b3\u5bdf\u306b\u5bfe\u3057\u3066\uff0c\u30ac\u30ea\u30ec\u30aa\u3084\u30cb\u30e5\u30fc\u30c8\u30f3\u9054\u304c\u3069\u306e\u3088\u3046\u306b\u7b54\u3048\u3066\u304d\u305f\u306e\u304b\uff1f<br \/>\n\u3000<br \/>\n<\/span><\/p>\n<p><strong>3.1 \u30cb\u30e5\u30fc\u30c8\u30f3\u306e\u7b2c\uff11\u6cd5\u5247\uff08\u6163\u6027\u306e\u6cd5\u5247\uff09<\/strong><\/p>\n<p><span style=\"color: #000099;\"><br \/>\n\u6163\u6027\u306e\u6cd5\u5247\u3068\u306f\uff0c\u4e00\u822c\u7684\u306b\u306f\u300c\u7269\u4f53\u306f\u529b\u304c\u50cd\u304b\u306a\u3051\u308c\u3070\uff0c\u901f\u5ea6\u304c\u5909\u5316\u3057\u306a\u3044\u300d\u3068\u8a00\u3063\u305f\u5185\u5bb9\u3067\u3042\u308b\u3002\u4f8b\u5e74\u6b74\u53f2\u7684\u306a\u8a71\u304b\u3089\u59cb\u3081\u3066\u3044\u308b\u3002\u6163\u6027\u7cfb\u306e\u8a71\u306f\u3053\u308c\u307e\u3067\u3084\u3063\u3066\u3053\u306a\u304b\u3063\u305f\u3002\u8a71\u3092\u5c55\u958b\u3059\u308b\u4e0a\u3067\uff0c\u6163\u6027\u7cfb\u306e\u8a71\u3092\u6700\u521d\u306b\u6301\u3063\u3066\u6765\u308b\u30b9\u30c8\u30fc\u30ea\u30fc\u3092\u601d\u3044\u3064\u304b\u306a\u3044\u3002<br \/>\n<\/span><\/p>\n<p>\u3000\u30a2\u30ea\u30b9\u30c8\u30c6\u30ec\u30b9\u306e\u529b\u5b66\u3067\u306f\uff0c\u529b\u304c\u5f37\u3051\u308c\u3070\u901f\u3055\u3082\u5927\u304d\u3044\u3002\u529b\u304c\u6b62\u3081\u3070\u904b\u52d5\u3082\u6b62\u307e\u308b\uff0c\u3068\u3044\u3046\u7406\u89e3\u3067\u3042\u3063\u305f\u3002\u65e5\u5e38\u7684\u306b\u306f\u59a5\u5f53\u3067\u3042\u308b\u304c\uff0c\u305f\u3060\u305d\u308c\u3067\u306f\u8aac\u660e\u3067\u304d\u306a\u3044\u73fe\u8c61\u3082\u3042\u308b\u3002\u4f8b\u3048\u3070\u30dc\u30fc\u30eb\u3092\u6295\u3052\u308b\u3068\u304d\uff0c\u624b\u3092\u96e2\u308c\u305f\u30dc\u30fc\u30eb\u304c\u98db\u3073\u7d9a\u3051\u308b\u306e\u306f\u4f55\u6545\u304b\u3068\u3044\u3063\u305f\u554f\u3044\u306b\u306f\u7b54\u3048\u308b\u3053\u3068\u304c\u3067\u304d\u306a\u3044\u3002<\/p>\n<p><a href=\"http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/05\/20190506a.png\"><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/05\/20190506a-300x188.png\" alt=\"\" width=\"300\" height=\"188\" class=\"aligncenter size-medium wp-image-8089\" srcset=\"http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/05\/20190506a-300x188.png 300w, http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/05\/20190506a-768x480.png 768w, http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/05\/20190506a-1024x640.png 1024w, http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/05\/20190506a-600x375.png 600w, http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/05\/20190506a.png 1152w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a><\/p>\n<p>\u3000\u3053\u308c\u306b\u5bfe\u3057\uff0c\u30ac\u30ea\u30ec\u30aa\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306a\u4e3b\u5f35\u3092\u3059\u308b\u3002\u5742\u9053\u3092\u4e0b\u3063\u305f\u30dc\u30fc\u30eb\u304c\u6469\u64e6\u3067\u52e2\u3044\u3092\u5931\u3046\u3053\u3068\u304c\u306a\u3051\u308c\u3070\uff0c\u307e\u305f\u540c\u3058\u9ad8\u3055\u307e\u3067\u5742\u9053\u3092\u306e\u307c\u308b\u3068\u8003\u3048\u3089\u308c\u308b\u3053\u3068\u304b\u3089\uff08\u4e0a\u56f3\uff09\uff0c\u306e\u307c\u308a\u5742\u306e\u50be\u304d\u3092\u3086\u308b\u304f\u3059\u308b\u3068\u3088\u308a\u9060\u304f\u307e\u3067\u30dc\u30fc\u30eb\u304c\u9032\u3080\u3053\u3068\u306b\u306a\u308b\u3002\u305d\u308c\u306a\u3089\u5742\u306e\u50be\u304d\u304c\u306a\u304f\u306a\u3063\u305f\u6c34\u5e73\u306e\u72b6\u614b\u3067\u306f\u6e1b\u901f\u305b\u305a\u3069\u3053\u307e\u3067\u3082\u30dc\u30fc\u30eb\u304c\u9032\u307f\u7d9a\u3051\u308b\u3068\u7d50\u8ad6\u3059\u308b\u3002\u3064\u307e\u308a\u904b\u52d5\u306f\u672c\u6765\u6301\u7d9a\u3059\u308b\u3082\u306e\u3060\u3068\u3044\u3046\u4e3b\u5f35\u3067\u3042\u308b\u304c\uff0c\u30cb\u30e5\u30fc\u30c8\u30f3\u4ee5\u524d\u306b\uff0c\u3059\u3067\u306b\u3053\u306e\u3088\u3046\u306a\u7406\u89e3\u304c\u3042\u3063\u305f\u3002<br \/>\n\u3000\u6163\u6027\u306e\u6cd5\u5247\u3092\uff0c\u201c\u529b\u3068\u901f\u5ea6\u306f\u95a2\u4fc2\u304c\u306a\u3044\u201d\u3068\u8a00\u3044\u8868\u3059\u3068\uff0c\u305d\u306e\u6b74\u53f2\u7684\u6587\u8108\u3067\u306e\u5f79\u5272\u304c\u306f\u3063\u304d\u308a\u3059\u308b\u3088\u3046\u306b\u601d\u3048\u308b\u3002\u529b\u306b\u3088\u3063\u3066\u904b\u52d5\u306f\u751f\u3058\u308b\u304c\uff0c\u901f\u5ea6\u3084\u529b\u3068\u3044\u3046\u6982\u5ff5\u3092\u660e\u78ba\u306b\u5b9a\u7fa9\u3059\u308b\u30ec\u30d9\u30eb\u306b\u9054\u3057\u305f\u3068\u304d\uff0c\u529b\u3068\u901f\u5ea6\u306f\u7121\u95a2\u4fc2\u3067\u3042\u308b\u3068\u8003\u3048\u308b\u6bb5\u968e\u306b\u5165\u3063\u305f\u3068\u3044\u3046\u3053\u3068\u3067\u306f\u306a\u3044\u304b\u3002\u305d\u308c\u3067\u306f\uff0c\u529b\u3068\u95a2\u4fc2\u3057\u3066\u3044\u308b\u306e\u306f\u4f55\u304b\u3002\u305d\u308c\u304c\u904b\u52d5\u306e\u7b2c\uff12\u6cd5\u5247\u3067\u8ff0\u3079\u3089\u308c\u308b\u3002<\/p>\n<p><strong>3.2 \u30cb\u30e5\u30fc\u30c8\u30f3\u306e\u7b2c\uff12\u6cd5\u5247\uff08\u904b\u52d5\u65b9\u7a0b\u5f0f\uff09<\/strong><\/p>\n<p>\u3000\u30ac\u30ea\u30ec\u30aa\u306f\u659c\u9762\u3067\u306e\u843d\u4e0b\u904b\u52d5\u3092\u8003\u5bdf\u3057\u305f\u3002\u659c\u9762\u306e\u50be\u304d\u3092\u5927\u304d\u304f\u3059\u308b\u3068\u52a0\u901f\u5ea6\u3082\u5927\u304d\u304f\u306a\u308b\u3002\u3053\u308c\u306f\u659c\u9762\u306b\u6cbf\u3063\u3066\u7269\u4f53\u3092\u5f15\u304f\u529b\u304c\u5927\u304d\u304f\u306a\u308b\u304b\u3089\u3067\u3042\u308b\u304c\uff0c\u305d\u306e\u529b\u306e\u5927\u304d\u3055\u306f\u659c\u9762\u4e0a\u306b\u7269\u4f53\u3092\u9759\u6b62\u3055\u305b\u308b\u3068\u304d\u306b\u5fc5\u8981\u3068\u306a\u308b\u529b\u3067\u793a\u3055\u308c\u308b\uff08\u4e0b\u56f3\uff09\u3002<\/p>\n<p><a href=\"http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/05\/1560_3283_0316-018_944.jpg\"><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/05\/1560_3283_0316-018_944-271x300.jpg\" alt=\"\" width=\"271\" height=\"300\" class=\"aligncenter size-medium wp-image-8077\" srcset=\"http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/05\/1560_3283_0316-018_944-271x300.jpg 271w, http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/05\/1560_3283_0316-018_944-768x851.jpg 768w, http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/05\/1560_3283_0316-018_944-924x1024.jpg 924w, http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/05\/1560_3283_0316-018_944-600x665.jpg 600w, http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/05\/1560_3283_0316-018_944.jpg 944w\" sizes=\"auto, (max-width: 271px) 100vw, 271px\" \/><\/a><br \/>\nhttps:\/\/catalogue.museogalileo.it\/gallery\/PlaneWithVariableInclinationInv1402.html<\/p>\n<p>\u3053\u308c\u304b\u3089\uff0c\u529b\u3068\u52a0\u901f\u5ea6\u306e\u95a2\u4fc2\u304c\u63a8\u5bdf\u3055\u308c\u308b\u3002\u4e00\u65b9\u3067\uff0c\u30ac\u30ea\u30ec\u30aa\u306f\u91cd\u3044\u7269\u4f53\u3082\u8efd\u3044\u7269\u4f53\u3082\u843d\u4e0b\u901f\u5ea6\u306f\u540c\u3058\u3068\u3044\u3046\u3053\u3068\u3092\u77e5\u3063\u3066\u3044\u305f\u3002\u91cd\u3055\u304c2\u500d\u306b\u306a\u308b\u3068\u529b\u30822\u500d\u306b\u306a\u308b\u304b\u3089\uff0c\u52a0\u901f\u5ea6\u304c\u540c\u3058\u3067\u3042\u308b\u3068\u8a00\u3046\u3053\u3068\u306f\u7269\u4f53\u306e\u91cd\u3055\u81ea\u4f53\u306b\u52a0\u901f\u5ea6\u3092\u6e1b\u5c11\u3055\u305b\u308b\u50cd\u304d\u304c\u3042\u308b\u3053\u3068\u306b\u306a\u308b\u3002\u3053\u306e\u3088\u3046\u306a\u6240\u304b\u3089\u4e0b\u8a18\u306e\u95a2\u4fc2\u304c\u5c0e\u304b\u308c\u3066\u6765\u305f\u306e\u3060\u3068\u63a8\u5bdf\u3055\u308c\u308b\u3002<\/p>\n<ul>\\(\\displaystyle \\mathrm{\u52a0\u901f\u5ea6} \\propto \\frac{\\mathrm{\u529b}}{\\mathrm{\u8cea\u91cf}} \\)<\/ul>\n<p>\u30cb\u30e5\u30fc\u30c8\u30f3\u306f\u7b2c\uff12\u6cd5\u5247\u3092\u201c\u904b\u52d5\u306e\u5909\u5316\u304c\u529b\u306b\u6bd4\u4f8b\u201d\u3068\u8868\u73fe\u3057\u3066\u3044\u3066(\u5909\u5316\u7387\u3067\u306f\u306a\u3044)\uff0c\u305d\u308c\u306f\u5f0f\u3067\u8868\u73fe\u3059\u308c\u3070<\/p>\n<ul>\\(\\displaystyle m \\, \\Delta v = \\vec{F} \\, \\Delta t.\\)<\/ul>\n<p>\u201c\u529b\u306b\u6bd4\u4f8b\u201d\u306b\u304a\u3051\u308b\u201c\u529b\u201d\u3082\u529b\u7a4d\u3092\u8868\u3057\u3066\u3044\u308b\u3002<\/p>\n<p><span style=\"color: #000099;\">\u6559\u79d1\u66f8\u3067\u306f\u3053\u3053\u3067\u904b\u52d5\u91cf\u5909\u5316\u3068\u529b\u7a4d\u306e\u95a2\u4fc2\u304c\u8ff0\u3079\u3089\u308c\u308b\u3002\u529b\u304c\u4e00\u5b9a\u6642\u9593\u7d99\u7d9a\u3059\u308b\u5834\u5408\u306b\u904b\u52d5\u65b9\u7a0b\u5f0f\u306e\u4e21\u8fba\u3092\u6642\u9593\u3067\u7a4d\u5206\u3057\u3066\u5f97\u3089\u308c\u308b\u95a2\u4fc2\u3067\u3042\u308b\u3002\u6642\u9593\u304c\u9577\u304f\u306a\u3063\u305f\u3051\u308c\u3069\u3082\u305d\u306e\u95a2\u4fc2\u5f0f\u306e\u610f\u5473\u3059\u308b\u3068\u3053\u308d\u306b\u306f\u3042\u307e\u308a\u5909\u5316\u304c\u306a\u3044\u3002\u529b\u3092\u6642\u9593\u3067\u7a4d\u5206\u3059\u308c\u3070\u904b\u52d5\u91cf\u306b\u306a\u308b\u304c\uff0c\u4ed6\u306e\u7a4d\u5206\u3082\u3042\u3063\u3066\uff0c\u529b\u3092\u5ea7\u6a19\u3067\u7a4d\u5206\u3059\u308c\u3070\u904b\u52d5\u30a8\u30cd\u30eb\u30ae\u30fc\uff08\u76f4\u63a5\u7684\u306b\u306f\u4ed5\u4e8b\uff09\u306b\u306a\u308b\u3068\u3044\u3046\u8a71\u3092\u3057\u305f\u3002<\/span><\/p>\n<p><span style=\"color: #000099;\">\u529b\u7a4d\u3092\u4f7f\u3063\u305f\u8a71\u3068\u3057\u3066\u306f\u9762\u7a4d\u901f\u5ea6\u4e00\u5b9a\u306e\u8a71\u304c\u3042\u308b\u3002<\/span><\/p>\n<p><a href=\"http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/05\/190510a.png\"><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/05\/190510a-300x188.png\" alt=\"\" width=\"300\" height=\"188\" class=\"aligncenter size-medium wp-image-8101\" srcset=\"http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/05\/190510a-300x188.png 300w, http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/05\/190510a-768x480.png 768w, http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/05\/190510a-1024x640.png 1024w, http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/05\/190510a-600x375.png 600w, http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/05\/190510a.png 1152w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a><\/p>\n<p><span style=\"color: #000099;\">\u3053\u306e\u3068\u304d\u306f\u529b\u7a4d\u3067\u8003\u3048\u3066\u3044\u308b\u3002\u3053\u306e\u8a71\u3092\u3053\u3053\u306b\u7d44\u307f\u8fbc\u307f\u305f\u3044\u3068\u601d\u3046\u306e\u3060\u3051\u308c\u3069\u3002<\/span><\/p>\n<p><span style=\"color: #000099;\"><\/span><\/p>\n<p><strong>3.3 \u30cb\u30e5\u30fc\u30c8\u30f3\u306e\u7b2c\uff13\u6cd5\u5247\uff08\u4f5c\u7528\u53cd\u4f5c\u7528\u306e\u6cd5\u5247\uff09<\/strong><\/p>\n<p><span style=\"color: #000099;\">\u3000\u3053\u306e\u6cd5\u5247\u304c\u6700\u3082\u8aac\u660e\u304c\u96e3\u3057\u3044\u3002\u7b2c\uff11\u6cd5\u5247\u3067\u306f\u901f\u5ea6\u3068\u529b\u306f\u95a2\u4fc2\u304c\u306a\u3044\uff0c\u7b2c\uff12\u3067\u306f\u529b\u3068\u95a2\u4fc2\u3059\u308b\u306e\u306f\u52a0\u901f\u5ea6\u3060\u3068\u8a71\u3092\u9032\u3081\u305f\u304c\uff0c\u7b2c\uff13\u306e\u4f5c\u7528\u53cd\u4f5c\u7528\u306e\u6cd5\u5247\u306f\u3069\u306e\u3088\u3046\u306a\u4f4d\u7f6e\u3065\u3051\u306a\u306e\u304b\u3002<br \/>\n<\/span><\/p>\n<p>\u3000\u4f5c\u7528\u53cd\u4f5c\u7528\u304c\u610f\u8b58\u3055\u308c\u308b\u304d\u3063\u304b\u3051\u306f\u885d\u7a81\u306e\u554f\u984c\u3060\u3063\u305f\u306e\u304b\u3082\u3057\u308c\u306a\u3044\u3002\u885d\u7a81\u306b\u95a2\u3057\u3066\u306f\u30db\u30a4\u30d8\u30f3\u30b9\u306e\u7814\u7a76\u304c\u3042\u3063\u3066\uff0c\u30cb\u30e5\u30fc\u30c8\u30f3\u4ee5\u524d\u304b\u3089\u8b70\u8ad6\u3055\u308c\u3066\u3044\u308b\u3002\u30d7\u30ea\u30f3\u30ad\u30d4\u30a2\u306b\u3082\uff0c\u30cb\u30e5\u30fc\u30c8\u30f3\u81ea\u8eab\u306e\u5b9f\u9a13\u4f8b\u304c\u8a18\u8ff0\u3055\u308c\u3066\u3044\u308b\u3002<\/p>\n<p><a href=\"http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2024\/05\/20240516a.png\"><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2024\/05\/20240516a-300x164.png\" alt=\"\" width=\"300\" height=\"164\" class=\"aligncenter size-medium wp-image-12741\" srcset=\"http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2024\/05\/20240516a-300x164.png 300w, http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2024\/05\/20240516a-768x421.png 768w, http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2024\/05\/20240516a-600x329.png 600w, http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2024\/05\/20240516a.png 954w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a><\/p>\n<p>\u4e0a\u56f3\u306f\uff0c\u4e2d\u516c\u6587\u5eab\u300e\u4e16\u754c\u306e\u540d\u8457\u300f26\u5dfb\uff0cp81 \u304b\u3089\u3067\u3042\u308b\u3002\u30cb\u30e5\u30fc\u30c8\u30f3\u306f\u632f\u308a\u5b50\u306e\u885d\u7a81\u5b9f\u9a13\u3092\u3084\u3063\u3066\u307f\u3066\uff0c\u904b\u52d5\u91cf\u4fdd\u5b58\u5247\u304c\u6210\u7acb\u3059\u308b\u3053\u3068\u3092\u78ba\u8a8d\u3057\u3066\u3044\u308b\u3002\uff08\u7b26\u53f7\u306f\u3053\u3068\u306a\u308b\u304c\uff09\u904b\u52d5\u91cf\u306e\u5909\u5316\u304c\u7b49\u3057\u3051\u308c\u3070\u529b\u7a4d\u304c\u7b49\u3057\u304f\uff0c\u307e\u305f\u885d\u7a81\u306b\u304b\u304b\u308b\u6642\u9593\u3082\u5171\u901a\u3057\u3066\u3044\u308b\u306f\u305a\u3060\u304b\u3089\uff0c\u305d\u306e\u3068\u304d\u306e\u529b\u3082\u7b49\u3057\u304f\u306a\u308b\u3002\u7269\u4f53\u306e\u885d\u7a81\u76f4\u5f8c\u306e\u901f\u5ea6\u306f\uff0c\u63cf\u304f\u5186\u5f27\u306e\u5f26\u306e\u9577\u3055\u306b\u6bd4\u4f8b\u3059\u308b\u3068\u3057\u3066\uff0c\u7269\u4f53\u306e\u901f\u5ea6\u5909\u5316\u3092\u89b3\u6e2c\u3057\u3066\u3044\u308b\u3002\u305d\u3053\u306b\u306f\u5177\u4f53\u7684\u306a\u6570\u5024\u3082\u3042\u308a\uff0c\u8cea\u91cf\u304c\u7b49\u3057\u3044\u7269\u4f53\u306e\u5834\u5408\u306e\u5b9f\u9a13\u306e\u7d50\u679c\u304c\u3042\u3052\u3089\u308c\u3066\u3044\u3066\uff0c\u4ee5\u4e0b\u5f15\u7528\u3059\u308b\u3002<\/p>\n<p>\u7269\u4f53 A \u304c 9 \u306e\u901f\u5ea6\u3067\uff0c\u9759\u6b62\u3057\u3066\u3044\u308b\u7269\u4f53 B \u3068\u885d\u7a81\u3059\u308b\u3068\u304d\uff0c\u885d\u7a81\u5f8c\u306e\u4e21\u7269\u4f53\u306e\u901f\u5ea6\u306f\u540c\u65b9\u5411\u3067\uff0c\u7269\u4f53 A \u306f 2 \u306e\u901f\u5ea6\u306b\u6e1b\u901f\u3057\uff0c\u7269\u4f53 B \u306f 7 \u306e\u901f\u5ea6\u3092\u5f97\u305f\u3002<\/p>\n<p>\u4e0a\u8a18\u306e\u5834\u5408\uff0c\u8cea\u91cf\u304c\u540c\u3058\u306a\u306e\u3067\uff0c\u885d\u7a81\u306b\u304a\u3044\u3066\u904b\u52d5\u91cf\u306f\u4fdd\u5b58\u3055\u308c\u3066\u3044\u3066\uff0c\u305d\u308c\u6545\u4f5c\u7528\u53cd\u4f5c\u7528\u304c\u6210\u7acb\u3057\u3066\u3044\u308b\u3068\u7d50\u8ad6\u3057\u3066\u826f\u3044\u3002\u904b\u52d5\u30a8\u30cd\u30eb\u30ae\u30fc\u306f\u6e1b\u5c11\u3057\u3066\u3044\u3066\uff0c\u8df3\u306d\u8fd4\u308a\u4fc2\u6570\u306e\u5024\u306f \\(\\displaystyle \\frac{5}{9}\\) \u3067\uff0c1 \u3088\u308a\u5c0f\u3055\u3044\u3002\u30cb\u30e5\u30fc\u30c8\u30f3\u306f\u3082\u3046\u4e00\u4f8b\u3042\u3052\u3066\u3044\u3066\uff0c\u305d\u308c\u306f\u4e21\u7269\u4f53\u304c\u901f\u5ea6\u3092\u6301\u3063\u3066\u885d\u7a81\u3059\u308b\u5834\u5408\u3067\uff0c\u305d\u306e\u5834\u5408\u306b\u3082\u904b\u52d5\u91cf\u4fdd\u5b58\u5247\u304c\u6210\u7acb\u3057\uff0c\u307e\u305f\u3053\u306e\u4e8c\u3064\u306e\u5b9f\u9a13\u4f8b\u3067\uff0c\u8df3\u306d\u8fd4\u308a\u4fc2\u6570\u306f\u540c\u3058\u5024\u3068\u306a\u3063\u3066\u3044\u308b\u3002<\/p>\n<p>\u3000\u885d\u7a81\u306f\u63a5\u89e6\u529b\u306e\u5834\u5408\u3067\u3042\u308b\u3002\u30cb\u30e5\u30fc\u30c8\u30f3\u306f\uff0c\u9060\u9694\u529b\u306b\u95a2\u3057\u3066\u3082\u8003\u5bdf\u3057\u3066\u3044\u308b\u3002<\/p>\n<p><a href=\"http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2024\/05\/20240516b.png\"><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2024\/05\/20240516b-300x200.png\" alt=\"\" width=\"300\" height=\"200\" class=\"aligncenter size-medium wp-image-12753\" srcset=\"http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2024\/05\/20240516b-300x200.png 300w, http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2024\/05\/20240516b-1024x683.png 1024w, http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2024\/05\/20240516b-768x512.png 768w, http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2024\/05\/20240516b-600x400.png 600w, http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2024\/05\/20240516b.png 1152w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a><\/p>\n<p>\u56f3\u306e\u3088\u3046\u306b\u9060\u9694\u7684\u306b\u5f15\u529b\u3092\u53ca\u307c\u3057\u3042\u3046\u4e8c\u3064\u306e\u7269\u4f53 A, B \u304c\u3042\u308a\uff0c\u305d\u306e\u9593\u306bA\u3068B\u306e\u63a5\u89e6\u3092\u59a8\u3052\u308b\u3088\u3046\u306a\u969c\u5bb3\u7269\u304c\u3042\u308b\u3068\u3059\u308b\u3002\u3082\u3057\u3053\u3053\u3067\u4e0a\u56f3\u306b\u793a\u3059\u3088\u3046\u306b\uff0cA\u304cB\u306b\u5f15\u304b\u308c\u308b\u529b\u3088\u308a\u3082B\u304cA\u306b\u5f15\u304b\u308c\u308b\u529b\u304c\u5f37\u3051\u308c\u3070\uff0c\u3053\u306e3\u7269\u4f53\u306f\u5de6\u65b9\u5411\u3078\u52a0\u901f\u904b\u52d5\u3092\u3059\u308b\u3053\u3068\u306b\u306a\u308b\u306e\u3067\uff0c\u305d\u308c\u306f\u4e0d\u5408\u7406\u3067\u3042\u308b\u3068\u8ff0\u3079\u3066\u3044\u308b\u3002<\/p>\n<p>\u5b9f\u4f8b\u3068\u3057\u3066\u6c34\u9762\u306b\u6d6e\u304b\u3079\u305f\u78c1\u77f3\u3068\u9244\u7247\u306e\u9593\u306e\u5b9f\u9a13\u3092\u3042\u3052\u3066\u3044\u3066\uff0c\u6700\u7d42\u7684\u306b\u306f\u9759\u6b62\u3057\u305f\u3068\u8ff0\u3079\u3066\u3044\u308b\u3002<\/p>\n<div style=\"width: 600px;\" class=\"wp-video\"><!--[if lt IE 9]><script>document.createElement('video');<\/script><![endif]-->\n<video class=\"wp-video-shortcode\" id=\"video-14782-1\" width=\"600\" height=\"338\" preload=\"metadata\" controls=\"controls\"><source type=\"video\/mp4\" src=\"http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2024\/05\/WIN_20240509_16_28_17_Pro_new.mp4?_=1\" \/><a href=\"http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2024\/05\/WIN_20240509_16_28_17_Pro_new.mp4\">http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2024\/05\/WIN_20240509_16_28_17_Pro_new.mp4<\/a><\/video><\/div>\n<p>\u52d5\u753b\u306f\uff0c\u78c1\u77f3\u3068\u78c1\u77f3\u306e\u5b9f\u9a13\u3067\u3042\u308b\u3002\u540c\u3058\u91cd\u3055\u306e\u78c1\u77f3\u3067\u306f\u3042\u308b\u304c\uff0c\u8f09\u305b\u3066\u3044\u308b\u30b7\u30e3\u30fc\u30ec\u306e\u5927\u304d\u3055\u304c\u7570\u306a\u308a\u6c88\u307f\u8fbc\u307f\u306e\u6df1\u3055\u304c\u7570\u306a\u3063\u305f\u3068\u601d\u308f\u308c\uff0c\u305d\u306e\u305f\u3081\u4e21\u78c1\u77f3\u306f\u307e\u3063\u305f\u304f\u540c\u3058\u6761\u4ef6\u3067\u306f\u306a\u3044\u3002\u305d\u308c\u304c\u52d5\u304d\u306b\u5f71\u97ff\u3057\u305f\u304b\u3082\u3057\u308c\u306a\u3044\u304c\uff0c\u5408\u4f53\u3057\u305f\u5f8c\u306f\u307b\u307c\u9759\u6b62\u3057\u3066\u3044\u308b\u3002\u6700\u521d\u306f\u4e21\u78c1\u77f3\u3068\u3082\u9759\u6b62\u3057\u3066\u3044\u305f\u3068\u3057\u3066\u6700\u7d42\u7684\u306b\u5408\u4f53\u3057\u305f\u5f8c\u9759\u6b62\u3057\u305f\u306a\u3089\u3070\uff0c\u78c1\u77f3\u306e\u5f15\u529b\u306b\u3088\u3063\u3066\u52a0\u901f\u3055\u308c\u3066\u5f97\u305f\u904b\u52d5\u91cf\u304c\u7b49\u91cf\u3067\u53cd\u5bfe\u7b26\u53f7\u3067\u3042\u3063\u305f\u3068\u89e3\u91c8\u3067\u304d\u308b\u3060\u308d\u3046\u3002\u5730\u7403\u78c1\u5834\u306e\u5f71\u97ff\u304c\u52d5\u753b\u306e\u6700\u5f8c\u306e\u3042\u305f\u308a\u3067\u51fa\u3066\u3044\u308b\u304b\u3082\u3057\u308c\u306a\u3044\u3002<\/p>\n<p>\u3000\u3053\u308c\u3089\u306e\u5b9f\u9a13\u304b\u3089\u30cb\u30e5\u30fc\u30c8\u30f3\u306f\uff0c\u63a5\u89e6\u529b\u306b\u304a\u3044\u3066\u3082\uff0c\u9060\u9694\u529b\u306b\u304a\u3044\u3066\u3082\u4f5c\u7528\u3068\u53cd\u4f5c\u7528\u306f\u540c\u3058\u5927\u304d\u3055\u3067\u53cd\u5bfe\u5411\u304d\u306b\u306a\u3063\u3066\u3044\u308b\u3068\u7d50\u8ad6\u3057\u3066\u3044\u308b\u3002<\/p>\n<p><span style=\"color: #000099;\">\u7b2c\uff11\uff0c\u7b2c\uff12\u6cd5\u5247\u3068\u306e\u3064\u306a\u304c\u308a\u3068\u3044\u3046\u70b9\u306f\u660e\u78ba\u3067\u306f\u306a\u3044\u3002\u96d1\u611f\u3092\u8ff0\u3079\u308b\u3068\uff0c\u7b2c\uff11\u6cd5\u5247\u3068\u7b2c\uff12\u6cd5\u5247\u3067\u306f\u201c\u529b\u201d\u3068\u3044\u3046\u8a00\u8449\u306f\u73fe\u308c\u308b\u304c\uff0c\u305d\u308c\u306f\u62bd\u8c61\u7684\u306b\u6271\u308f\u308c\u3066\u3044\u308b\u3002\u529b\u3068\u3044\u3046\u3082\u306e\u304c\u7269\u4f53\u306e\u5916\u90e8\u306b\u3042\u3063\u3066\u7269\u4f53\u3068\u7121\u95a2\u4fc2\u306a\u4f55\u304b\u62bd\u8c61\u7684\u306a\u4f5c\u7528\u3068\u3057\u3066\u6271\u308f\u308c\u3066\u3044\u308b\u3088\u3046\u306b\u601d\u3048\u308b\u3002\u529b\u5b66\u306b\u304a\u3051\u308b\u529b\u3068\u306f\u4e07\u6709\u5f15\u529b\u3084\u885d\u7a81\u306a\u3069\u3067\u4f5c\u7528\u3059\u308b\u529b\u3067\u3042\u3063\u3066\uff0c\u9060\u9694\u7684\u3067\u3042\u3063\u305f\u308a\u8fd1\u63a5\u4f5c\u7528\u3067\u3042\u3063\u305f\u308a\u3059\u308b\u304c\uff0c\u3044\u305a\u308c\u306b\u305b\u3088\u4ed6\u306e\u7269\u4f53\u306b\u3088\u3063\u3066\u3082\u305f\u3089\u3055\u308c\u308b\u4f5c\u7528\u3067\u3042\u308b\u3002\u3075\u305f\u3064\u7269\u4f53\u304c\u5b58\u5728\u3057\u306a\u3051\u308c\u3070\uff0c\u529b\u3082\u5b58\u5728\u3057\u306a\u3044\u3068\u3044\u3046\u610f\u5473\u3082\u7b2c\uff13\u6cd5\u5247\u306b\u306f\u542b\u307e\u308c\u3066\u3044\u308b\u3002\u7b2c\uff11\uff0c\u7b2c\uff12\u6cd5\u5247\u3067\u306f\u4e00\u3064\u306e\u7269\u4f53\u306e\u307f\u53d6\u308a\u6271\u3046\u304c\uff0c\u7b2c\uff13\u6cd5\u5247\u3067\u306f\u521d\u3081\u3066\u4e8c\u3064\u306e\u7269\u4f53\u304c\u767b\u5834\u3059\u308b\u3002\u529b\u5b66\u7684\u4e16\u754c\u3092\u5b8c\u6210\u3055\u305b\u308b\u306b\u306f\uff0c\u4e8c\u3064\u306e\u7269\u4f53\u306e\u904b\u52d5\u3092\u540c\u6642\u306b\u6271\u3046\u5fc5\u8981\u304c\u3042\u308b\u306e\u3067\u306f\u306a\u3044\u304b\u3002\u7b2c\uff13\u6cd5\u5247\u306f\uff0c\u305d\u306e\u6642\u306b\u5fc5\u8981\u3068\u306a\u308b\u3068\u601d\u308f\u308c\u308b\u3002<\/span><\/p>\n<p>\uff08\u3064\u3051\u305f\u3057\uff09<\/p>\n<p><span style=\"color: #000099;\">\u3000\u904b\u52d5\u306e3\u6cd5\u5247\u306b\u304a\u3044\u3066\uff0c\u7279\u306b\u4f5c\u7528\u53cd\u4f5c\u7528\u306e\u6cd5\u5247\u306e\u4f4d\u7f6e\u3065\u3051\u304c\u628a\u63e1\u3067\u304d\u3066\u3044\u306a\u3044\u3002\u9069\u5f53\u306a\u30b9\u30c8\u30fc\u30ea\u30fc\u306e\u4e2d\u306b\u4f4d\u7f6e\u3065\u3051\u308b\u3053\u3068\u304c\u3067\u304d\u306a\u3044\u3002\u305d\u308c\u306b\u95a2\u3059\u308b\u4e00\u3064\u306e\u8a66\u307f\u3002<\/span><\/p>\n<p><span style=\"color: #000099;\">\u3000\u5358\u7d14\u306a\u72b6\u6cc1\u304b\u3089\u59cb\u3081\u3066\uff0c\u529b\u5b66\u7684\u4e16\u754c\u3092\u4f5c\u308a\u4e0a\u3052\u3066\u3044\u304f\u3053\u3068\u3092\u8003\u3048\u3066\u307f\u308b\u3002\u3061\u304b\u3089\u3068\u306f\u4e8c\u3064\u306e\u7269\u4f53\u9593\u306e\u76f8\u4e92\u4f5c\u7528\u3067\u3042\u308b\u3053\u3068\u304b\u3089\u3059\u308b\u3068\uff0c\u7269\u4f53\u304c\u5b58\u5728\u3057\u306a\u3044\u3068\u3053\u308d\u304b\u3089\u8003\u3048\u3066\u307f\u305f\u3089\u3069\u3046\u304b\u3002<br \/>\n(1) \u6700\u521d\u306f\u7a7a\u9593\u306e\u307f\u304c\u3042\u3063\u3066\uff0c\u7269\u4f53\u304c\u5b58\u5728\u3057\u306a\u3044\u3002\u3053\u306e\u6642\uff0c\u529b\u5b66\u306f\u5b58\u5728\u3057\u306a\u3044\u3002<br \/>\n(2) \u6b21\u306b\uff0c\u7a7a\u9593\u304c\u3042\u3063\u3066\uff0c\u305d\u3053\u306b\u7269\u4f53\u304c\u3072\u3068\u3064\u3042\u308b\u3002\u3053\u306e\u6642\u3061\u304b\u3089\u306f\u5b58\u5728\u3057\u306a\u3044\u3002\u3061\u304b\u3089\u306f\u4e8c\u3064\u306e\u7269\u4f53\u304c\u5b58\u5728\u3057\u306a\u3044\u3068\u3042\u308a\u5f97\u306a\u3044\u3002\u3053\u306e\u4e16\u754c\u306f\u6163\u6027\u306e\u6cd5\u5247\u306e\u307f\u3002<br \/>\n(3) \u7a7a\u9593\u3068\uff0c\u305d\u3053\u306b\u4e8c\u3064\u306e\u7269\u4f53\u304c\u3042\u308b\u306a\u3089\uff0c\u304a\u4e92\u3044\u306b\u4ed6\u306e\u5b58\u5728\u306e\u5f71\u97ff\u3092\u8003\u616e\u3059\u308b\u5fc5\u8981\u304c\u751f\u3058\u308b\u3002\u305d\u308c\u304c\u7b2c\uff13\u6cd5\u5247\u3002\u7269\u4f53\u3092\u5165\u308c\u66ff\u3048\u3066\u3082\u540c\u3058\u73fe\u8c61\u3068\u306a\u308b\u3088\u3046\u306b\uff0c\u5bfe\u79f0\u7684\u306a\u6cd5\u5247\u304c\u8981\u6c42\u3055\u308c\u308b\u3002\u7b2c2\u6cd5\u5247\u306f\u3053\u306e\u5f8c\u3067\u826f\u3044\u3002<br \/>\n\u3000\u529b\u5b66\u7684\u4e16\u754c\u306e\u30d7\u30ed\u30b0\u30e9\u30df\u30f3\u30b0\u3067\u3082\u3059\u308b\u306a\u3089\u3070\uff0c\u7b2c2\u6cd5\u5247\u3068\u7b2c3\u6cd5\u5247\u306e\u9806\u756a\u3092\u5165\u308c\u66ff\u3048\u305f\u65b9\u304c\u30d7\u30ed\u30b0\u30e9\u30df\u30f3\u30b0\u7684\u304b\u3082\u3057\u308c\u306a\u3044\u3002\u4f5c\u7528\u53cd\u4f5c\u7528\u5247\u306f\u69d8\u3005\u306a\u69d8\u614b\u306e\u3061\u304b\u3089\u3092\u5185\u5305\u3059\u308b\u5165\u308c\u7269\u3002<\/span><\/p>\n<p><span style=\"color: #ff0000;\">\u3053\u306e\u3042\u305f\u308a\u30675\u65e5\u76ee\u306e\u7d42\u308f\u308a\u3002<\/span><\/p>\n<p><strong>3.4 \u3044\u308d\u3044\u308d\u306a\u529b<\/strong><\/p>\n<p><span style=\"color: #000099;\">\u3000\u4ee5\u4e0b\uff0c\uff13\u7ae0\u306e\u7d42\u308f\u308a\u306b\u5411\u3051\u3066\uff0c\u4e07\u6709\u5f15\u529b\uff0c\u5782\u76f4\u6297\u529b\uff0c\u6469\u64e6\u529b\uff0c\u5f3e\u529b\uff08\u30d0\u30cd\u306e\u529b\uff09\u304c\u4f8b\u793a\u3055\u308c\u308b\u3002\u3069\u308c\u3082\u65e2\u7fd2\u306e\u5185\u5bb9\u3060\u3051\u306b\u65b0\u5947\u6027\u3092\u52a0\u3048\u308b\u3053\u3068\u304c\u96e3\u3057\u304f\u601d\u3048\u308b\u3002\u672c\u7b4b\u3067\u306f\u306a\u3044\u304b\u3082\u3057\u308c\u306a\u3044\u304c\uff0c\u6b74\u53f2\u7684\u306a\u3053\u3068\u3092\u53d6\u308a\u5165\u308c\u305f\u3089\u3069\u3046\u304b\u3002\u4e07\u6709\u5f15\u529b\u306b\u95a2\u3057\u3066\u306f\uff0c\u30cb\u30e5\u30fc\u30c8\u30f3\u306b\u3088\u3063\u3066\u767a\u898b\u3055\u308c\u305f\uff0c\u5730\u7403\u8868\u9762\u3067\u306e\u91cd\u529b\u3068\u6708\u306e\u516c\u8ee2\u306e\u5411\u5fc3\u529b\u306e\u95a2\u4fc2\u304c\u3042\u308b\u3002\u5782\u76f4\u6297\u529b\u306b\u95a2\u3057\u3066\u306f\uff0c\u3053\u308c\u3092\u529b\u3060\u3068\u8a8d\u8b58\u3059\u308b\u3068\u3053\u308d\u306b\uff0c\u98db\u8e8d\u304c\u3042\u308b\u3068\u601d\u3046\u3002\u3053\u306e\u6b74\u53f2\u7684\u6d41\u308c\u3092\u8abf\u67fb\u3059\u308b\u3079\u304d\u304b\u3002\u6469\u64e6\u529b\u306b\u95a2\u3057\u3066\u3082\uff0c\u3053\u308c\u3092\u529b\u3068\u3057\u3066\u904b\u52d5\u306e\u69d8\u614b\u304b\u3089\u5206\u96e2\u3057\u305f\u3068\u3053\u308d\u304c\u91cd\u8981\u3067\u306f\u306a\u304b\u3063\u305f\u304b\u3002\u6469\u64e6\u529b\u3092\u5206\u96e2\u3057\u306a\u3051\u308c\u3070\uff0c\u904b\u52d5\u306f\u529b\u3092\u52a0\u3048\u308b\u306e\u3092\u6b62\u3081\u308b\u3068\u305d\u306e\u3046\u3061\u9759\u6b62\u3059\u308b\u3082\u306e\u3068\u3057\u3066\u7406\u89e3\u3055\u308c\u308b\u3002\u4e07\u6709\u5f15\u529b\u3082\u5782\u76f4\u6297\u529b\u3082\u6469\u64e6\u529b\u3082\uff0c\u6700\u521d\u306f\u529b\u3060\u3068\u8a8d\u8b58\u3055\u308c\u3066\u3044\u306a\u304b\u3063\u305f\u3002\u3053\u308c\u3089\u304c\u529b\u3068\u8a8d\u8b58\u3055\u308c\u3066\u3044\u304f\u904e\u7a0b\u304c\u529b\u5b66\u306e\u6210\u7acb\u3068\u304b\u304b\u308f\u3063\u3066\u3044\u308b\u3088\u3046\u306b\u601d\u3048\u308b\u3002<br \/>\n<\/span><\/p>\n<p><span style=\"color: #0000ff;\">\u4e07\u6709\u5f15\u529b<\/span><\/p>\n<p>\u3000\u5186\u904b\u52d5\u306e\u52a0\u901f\u5ea6 \\(\\displaystyle \\frac{v^2}{r}\\) \u306f\u30db\u30a4\u30d8\u30f3\u30b9\u304c\u898b\u3064\u3051\u3066\u3044\u308b\u3002\u904b\u52d5\u306e\u7b2c\uff12\u6cd5\u5247\u304b\u3089\u5bfe\u5fdc\u3059\u308b\u529b \\(\\vec{F}\\) \u304c\u5206\u304b\u308b\u304c\uff0c\u3053\u308c\u3068\u30b1\u30d7\u30e9\u30fc\u306e\u7b2c\uff13\u6cd5\u5247 \\(T^2 \\propto r^3\\) \u3092\u7d44\u307f\u5408\u308f\u305b\u308b\u3068\u90062\u4e57\u5247\u304c\u5f97\u3089\u308c\u308b\u3002<\/p>\n<ul>\\(\\begin{eqnarray} \\displaystyle<br \/>\n\\vec{F} &#038;\\propto&#038; \\frac{v^2}{r} \\\\<br \/>\n        &#038;\\propto&#038; \\frac{1}{r} \\, \\left( \\frac{2 \\, \\pi \\, r}{T} \\right)^2\\\\<br \/>\n        &#038;\\propto&#038; \\frac{1}{r^2}<br \/>\n\\end{eqnarray}\\)<\/ul>\n<p>\u592a\u967d\u3068\u60d1\u661f\u9593\u306e\u5f15\u529b\u304c\u8ecc\u9053\u534a\u5f84\u306e\u9006\uff12\u4e57\u306b\u6bd4\u4f8b\u3059\u308b\u3053\u3068\u304c\u5c0e\u304b\u308c\u305f\u3002<\/p>\n<p> \u3053\u3053\u3067\u5730\u7403\u3068\u6708\u306e\u95a2\u4fc2\u3092\u8003\u3048\u308b\u3002\u6708\u306e\u8ecc\u9053\u534a\u5f84\u306f \\(r = 3.85 \\times 10^8 \\,\\mathrm{m}\\) \uff0c\u516c\u8ee2\u5468\u671f\u306f \\(T = 27.3 \\,\\mathrm{\u65e5}\\) \u3002\u3088\u3063\u3066\u901f\u5ea6\u306f \\(v = 1025 \\,\\mathrm{m\/s}\\) \u3002\u3053\u308c\u304b\u3089\u52a0\u901f\u5ea6 \\(a\\) \u306f<\/p>\n<ul>\\(\\begin{eqnarray} \\displaystyle<br \/>\na &#038;=&#038; \\frac{v^2}{r} \\\\<br \/>\n  &#038;=&#038; 0.00273 &#8230; \\,\\mathrm{m\/s^2}<br \/>\n\\end{eqnarray}\\)<\/ul>\n<p>\u5730\u7403\u4e0a\u306e\u91cd\u529b\u52a0\u901f\u5ea6\u304c \\(g = 9.80 \\,\\mathrm{m\/s^2}\\) \u3067\u3042\u308a\uff0c\u3053\u308c\u3092\u5730\u7403\u306e\u5f15\u529b\u306b\u3088\u308b\u3082\u306e\u3068\u89e3\u91c8\u3059\u308b\u3002\u5730\u7403\u306e\u534a\u5f84\u306f \\(R = 6.37 \\times 10^6 \\,\\mathrm{m}\\) \u3067\uff0c\u6708\u306e\u8ecc\u9053\u534a\u5f84\u306e\u3068\u3053\u308d\u3067\u3053\u306e\u5f15\u529b\u304c\uff0c\u592a\u967d\u3068\u60d1\u661f\u9593\u306e\u529b\u3068\u540c\u3058\u3088\u3046\u306b\uff0c\u8ddd\u96e2\u306e\u4e8c\u4e57\u306b\u53cd\u6bd4\u4f8b\u3057\u3066\u5f31\u304f\u306a\u308b\u3068\u3059\u308b\u3068<\/p>\n<ul>\\(\\begin{eqnarray} \\displaystyle<br \/>\ng \\, \\left( \\frac{R}{r} \\right)^2 &#038;=&#038; 9.80 \\times \\left( \\frac{6.37 \\times 10^6}{3.85 \\times 10^8} \\right)^2\\\\<br \/>\n                                  &#038;=&#038; 0.00268 &#8230; \\mathrm{m\/s^2}<br \/>\n\\end{eqnarray}\\)<\/ul>\n<p>\u307b\u307c\u540c\u3058\u5024\u306b\u306a\u308b\u3002\u3053\u308c\u304b\u3089\u5730\u7403\u306e\u91cd\u529b\u3068\u592a\u967d\u30fc\u60d1\u661f\u9593\u306e\u5f15\u529b\u304c\u540c\u4e00\u306e\u6027\u8cea\u3092\u6301\u3064\u3082\u306e\u3067\u3042\u308b\u3068\u7d50\u8ad6\u3067\u304d\u308b\u3002<\/p>\n<p><span style=\"color: #000099;\">\u3069\u3053\u304b\u3067\u304d\u3061\u3093\u3068\u3057\u305f\u4e07\u6709\u5f15\u529b\u306e\u5f0f\u3092\u898b\u305b\u308b\u3053\u3068\u3002\u5168\u54e1\u304c\u529b\u5b66\u3092\u304d\u3061\u3093\u3068\u5b66\u3093\u3067\u304d\u305f\u308f\u3051\u3067\u306f\u306a\u3044\u3002<\/span><\/p>\n<ul>\\(\\displaystyle F = &#8211; G \\, \\frac{M \\, m}{r^2}\\)<\/ul>\n<p><span style=\"color: #0000ff;\">\u91cd\u3055<\/span><\/p>\n<p><span style=\"color: #000099;\">\u3000\u3053\u3053\u3067\u306f\uff0c\u91cd\u3055\u3068\u8cea\u91cf\u306e\u9055\u3044\u3092\u78ba\u8a8d\u3059\u308b\u3050\u3089\u3044\u304b\u3002\u9ad8\u6821\u306e\u7269\u7406\u3067\u3082\u6271\u3046\u5185\u5bb9\u3067\u3042\u308a\uff0c\u5b66\u751f\u3082\u305d\u306e\u9055\u3044\u3092\u610f\u8b58\u3057\u3066\u3044\u308b\u3068\u601d\u308f\u308c\u308b\u3002\u4eca\u9031\u306e\u8ab2\u984c\u3068\u3057\u3066\u95a2\u9023\u3059\u308b\u554f\u984c\u3092\u8ab2\u3057\u305f\u3002<\/span><\/p>\n<p>\u3000\u91cd\u3055\u3068\u306f\u7269\u4f53\u304c\u661f\u306e\u4e2d\u5fc3\u306b\u5411\u304b\u3063\u3066\u5f15\u304d\u5bc4\u305b\u3089\u308c\u308b\u529b\u306e\u3053\u3068\u3067\u3042\u308a\uff0c\u5730\u8868\u306b\u304a\u3044\u3066\u306f \\(m \\, g\\) \u3067\u3042\u308b\u3002\u30a2\u30ea\u30b9\u30c8\u30c6\u30ec\u30b9\u306e\u7406\u8ad6\u3067\u306f\u7269\u4f53\u304c\u843d\u3061\u308b\u306e\u306f\u81ea\u7136\u306a\u904b\u52d5\u3068\u8003\u3048\u3089\u308c\u3066\u3044\u3066\uff0c\u5f37\u5236\u7684\u306a\u529b\u306b\u3088\u308b\u904b\u52d5\u3068\u533a\u5225\u3055\u308c\u3066\u3044\u305f\u3002\u3064\u307e\u308a\uff0c\u305d\u306e\u9803\u91cd\u3055\u306f\u529b\u3068\u307f\u306a\u3055\u308c\u3066\u3044\u306a\u304b\u3063\u305f\u3002\u305d\u306e\u3088\u3046\u306a\u6bb5\u968e\u304b\u3089\u4eca\u306e\u529b\u5b66\u307e\u3067\u306f\uff0c\u304a\u304a\u304d\u306a\u9694\u305f\u308a\u304c\u3042\u308b\u3088\u3046\u306b\u601d\u3048\u308b\u3002<\/p>\n<p>\u3000\u6708\u9762\u3067\u306f\u52a0\u901f\u5ea6\u304c \\(1.67 \\, \\mathrm{m\/s^2}\\) \u3067 \\(g\\) \u306b\u76f8\u5f53\u3059\u308b\u90e8\u5206\u304c\u5c0f\u3055\u3044\u306e\u3067\u91cd\u3055\u3082\u5c0f\u3055\u304f\u306a\u308b\u3002\u5730\u7403\u306e\u5468\u308a\u3092\u5468\u56de\u3059\u308b\u4eba\u5de5\u885b\u661f\u3084\u5b87\u5b99\u8239\u306e\u4e2d\u3067\u306f\u91cd\u3055\u306f\u30bc\u30ed\u306b\u306a\u308b\u3002 \\(g\\) \u304c\u7570\u306a\u308b\u3068\uff0c\u4f53\u91cd\u3092\u79e4\u3067\u6e2c\u5b9a\u3059\u308b\u3053\u3068\u306f\u3067\u304d\u306a\u3044\u3002 \\(F = m \\, a\\) \u3092\u5229\u7528\u3059\u308b\u306a\u3089\u3070  \\(g\\) \u304c\u5909\u5316\u3059\u308b\u5f71\u97ff\u306f\u907f\u3051\u3089\u308c\u308b\u3002\u4ed6\u306b\u5909\u5316\u3057\u306a\u3044\u4f8b\u3068\u3057\u3066\uff0c\u3070\u306d\u306b\u540a\u308b\u3055\u308c\u305f\u9318\u306e\u632f\u52d5\u5468\u671f\u304c\u3042\u308b\u3002 \\(\\displaystyle 2 \\, \\pi \\sqrt{\\frac{m}{k}}\\) \u3067\uff0c\u5f0f\u306b \\(g\\) \u304c\u8868\u308c\u306a\u3044\u306e\u3067\uff0c\u6e2c\u5b9a\u3059\u308b\u5834\u6240\u306e\u91cd\u529b\u306e\u5f71\u97ff\u306f\u306a\u3044\u3002<\/p>\n<p><span style=\"color: #0000ff;\">\u5782\u76f4\u6297\u529b<\/span><\/p>\n<p><a href=\"http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/05\/20190514c.png\"><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/05\/20190514c-300x175.png\" alt=\"\" width=\"300\" height=\"175\" class=\"aligncenter size-medium wp-image-8156\" srcset=\"http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/05\/20190514c-300x175.png 300w, http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/05\/20190514c.png 498w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a><\/p>\n<p>\u3000\u3053\u308c\u306f\u7d0d\u5f97\u3057\u306b\u304f\u3044\u529b\u3067\u3042\u308b\u3002\u673a\u306e\u4e0a\u306b\u672c\u304c\u3042\u308b\u3068\u3057\u3066\uff0c\u672c\u306e\u91cd\u3055\u304c\u673a\u3092\u62bc\u3057\u3066\u3044\u308b\u306e\u306f\u5206\u304b\u308b\u304c\uff0c\u673a\u304c\u672c\u3092\u62bc\u3057\u8fd4\u3057\u3066\u3044\u308b\u306e\u306f\u5206\u304b\u308a\u306b\u304f\u3044\u3002\u672c\u304c\u79e4\u306b\u8f09\u305b\u3089\u308c\u3066\u3044\u308b\u3068\u304d\u306e\u3088\u3046\u306b\uff0c\u30d0\u30cd\u3067\u652f\u3048\u3089\u308c\u3066\u3044\u308b\u306a\u3089\u307e\u3060\u5206\u304b\u308a\u3084\u3059\u3044\u306e\u304b\u3082\u3057\u308c\u306a\u3044\u3002<\/p>\n<p><a href=\"http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/05\/20190514d.png\"><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/05\/20190514d-300x218.png\" alt=\"\" width=\"300\" height=\"218\" class=\"aligncenter size-medium wp-image-8157\" srcset=\"http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/05\/20190514d-300x218.png 300w, http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/05\/20190514d.png 400w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a><\/p>\n<p>\u3000\u3082\u3046\u5c11\u3057\u30df\u30af\u30ed\u306a\u30ec\u30d9\u30eb\u3067\u89b3\u6e2c\u3059\u308c\u3070\uff0c\u672c\u306e\u91cd\u3055\u306b\u3088\u3063\u3066\u673a\u3082\u308f\u305a\u304b\u306b\u3078\u3053\u3093\u3067\u3044\u308b\u3053\u3068\u304c\u5206\u304b\u308b\uff08\u89b3\u6e2c\u3057\u305f\u3053\u3068\u306f\u306a\u3044\u3051\u308c\u3069\u3082\uff09\u3002\u5b9f\u969b\u306f\u305d\u306e\u5f3e\u6027\u306e\u529b\u3067\u673a\u306f\u62bc\u3057\u8fd4\u3057\u3066\u3044\u308b\u3068\u8003\u3048\u3066\u826f\u3044\u3002\u305f\u3060\u305d\u306e\u5909\u5f62\u3092\u8003\u3048\u308b\u3053\u3068\u306b\u3042\u307e\u308a\u610f\u5473\u304c\u306a\u304f\u7121\u8996\u3057\u3066\u53d6\u308a\u6271\u3046\u3002\u7cf8\u306e\u5f35\u529b\u3082\u540c\u3058\u3067\u3042\u308b\u3002\u7cf8\u306f\u529b\u304c\u52a0\u308f\u308b\u3053\u3068\u3067\u308f\u305a\u304b\u306b\u4f38\u3073\u3066\u3044\u308b\u304c\uff0c\u305d\u306e\u5909\u5f62\u3092\u8003\u3048\u3066\u3082\u904b\u52d5\u3092\u8003\u3048\u308b\u4e0a\u3067\u306f\u610f\u5473\u304c\u306a\u3044\u3068\u8a00\u3046\u3053\u3068\u3067\uff0c\u4f38\u3073\u3092\u7121\u8996\u3057\u3066\u53d6\u308a\u6271\u3046\u3002\u3053\u3046\u3044\u3063\u305f\u529b\u306f\u675f\u7e1b\u529b\u3068\u3044\u308f\u308c\u308b\u3002<\/p>\n<p><span style=\"color: #0000ff;\">\u6469\u64e6\u529b<\/span><\/p>\n<p><span style=\"color: #000099;\">\u30a2\u30ea\u30b9\u30c8\u30c6\u30ec\u30b9\u7684\u306a\u529b\u5b66\u3067\u306f\uff0c\u91cd\u3044\u3082\u306e\u307b\u3069\u901f\u304f\u843d\u4e0b\u3059\u308b\uff0c\u529b\u3092\u52a0\u3048\u308b\u306e\u3092\u6b62\u3081\u308b\u3068\u7269\u4f53\u306e\u904b\u52d5\u306f\u505c\u6b62\u3059\u308b\uff0c\u306a\u3069\u3068\u8003\u3048\u3089\u308c\u3066\u3044\u305f\u3002\u3053\u306e\u3088\u3046\u306a\u73fe\u8c61\u304c\u89b3\u6e2c\u3055\u308c\u308b\u7406\u7531\u306f\uff0c\u7a7a\u6c17\u62b5\u6297\u3084\u6469\u64e6\u304c\u5b58\u5728\u3059\u308b\u6545\u3067\u3042\u308b\u3002\u6469\u64e6\u306e\u52b9\u679c\u3092\u904b\u52d5\u306e\u672c\u6027\u304b\u3089\u5206\u96e2\u3057\u306a\u3051\u308c\u3070\uff0c\u529b\u5b66\u306f\u69cb\u7bc9\u3067\u304d\u306a\u304b\u3063\u305f\u3067\u3042\u308d\u3046\u3002<\/span><\/p>\n<p><span style=\"color: #000099;\">\u6469\u64e6\u529b\u306e\u89e3\u8aac\u306f\u3057\u306a\u3044\u3002\u6559\u79d1\u66f8\u306e\u56f3\u3067\uff0c\u5782\u76f4\u6297\u529b\u306e\u4f4d\u7f6e\u304c\u9069\u5f53\u3067\u306a\u3044\u8a71\u3092\u3057\u305f\uff08<a href=\"https:\/\/ja.wikibooks.org\/wiki\/%E9%AB%98%E7%AD%89%E5%AD%A6%E6%A0%A1%E7%89%A9%E7%90%86\/%E7%89%A9%E7%90%86I\/%E9%81%8B%E5%8B%95%E3%81%A8%E3%82%A8%E3%83%8D%E3%83%AB%E3%82%AE%E3%83%BC\/%E9%81%8B%E5%8B%95%E3%81%AE%E6%B3%95%E5%89%87\">\u53c2\u8003\u30b5\u30a4\u30c8<\/a>\uff09\u3002\u6a2a\u5411\u304d\u306e\u529b\u304b\u3089\u898b\u3066\uff0c\u5782\u76f4\u6297\u529b\u306e\u958b\u59cb\u4f4d\u7f6e\u304c\u91cd\u5fc3\u306e\u5411\u3053\u3046\u5074\u306b\u3042\u308b\u306e\u304c\u9069\u5f53\u3068\u3044\u3046\u8a71\u3092\u3057\u305f\u3002<\/span><\/p>\n<p><span style=\"color: #0000ff;\">\u5f3e\u529b<\/span><\/p>\n<p><span style=\"color: #000099;\">\u3000\u5909\u5f62\u3092\u5143\u306b\u623b\u3059\u969b\u306e\u529b\u3067\u3042\u308b\u304c\uff0c\u3053\u308c\u306f\u307b\u307c\u5b66\u751f\u306f\u77e5\u3063\u3066\u3044\u308b\u3053\u3068\u3068\u601d\u3046\u3002\u4eca\u5e74\u306f\u3042\u307e\u308a\u8a71\u3055\u306a\u304b\u3063\u305f\u3002<\/span><\/p>\n<p><strong>\u4f8b\u984c 3.1<\/strong><\/p>\n<p>\u3000(1) \u30b1\u30d7\u30e9\u30fc\u306e\u7b2c\uff13\u6cd5\u5247\u3092\u5c0e\u304f\u554f\u984c\u3002\u4e07\u6709\u5f15\u529b\u306e\u5f0f\u304c\u5206\u304b\u3063\u3066\u3044\u308b\u3082\u306e\u3068\u3059\u308b\u3002\u5186\u904b\u52d5\u306e\u52a0\u901f\u5ea6\u3068\u904b\u52d5\u306e\u7b2c\uff12\u6cd5\u5247\u304b\u3089\uff0c \\(T^2 \\propto r^3\\) \u3092\u6c42\u3081\u308b\u3002<\/p>\n<p>(2)\u306f\u30d1\u30b9\u3057\u305f\u3002<\/p>\n<p>(3) \u3082\u30d1\u30b9\u3002<\/p>\n<p><strong>\u4f8b\u984c 3.2<\/strong><\/p>\n<p>\u659c\u9762\u4e0a\u306e\u5782\u76f4\u6297\u529b\u306e\u56f3\u793a\u306b\u95a2\u3057\u3066\uff0c\u8a71\u3092\u3057\u305f\u3050\u3089\u3044\uff08<a href=\"https:\/\/kumiko47.exblog.jp\/3304228\/\">\u53c2\u8003\u30b5\u30a4\u30c8<\/a>\uff09\u3002<\/p>\n<p><strong>\uff13\u7ae0\u6f14\u7fd2\u554f\u984c [3]<\/strong><\/p>\n<p>\u3000\u98db\u884c\u6a5f\u306e\u52a0\u901f\u5ea6\u3092\u8003\u3048\u308b\u554f\u984c\u3002(1) \u306f\u30a8\u30f3\u30b8\u30f3\u306e\u51fa\u529b\u3068\u8cea\u91cf\u304b\u3089\u52a0\u901f\u5ea6\u3092\u5c0e\u304f\u3002(2) \u3067\u306f\u4e57\u5ba2\u304c\u53d7\u3051\u308b\u529b\u3092\u6c42\u3081\u308b\u3002(2) \u306f\u91cd\u529b\u3068\u6163\u6027\u529b\u306e\u5408\u529b\u3092\u8003\u3048\u308b\u3068\u3053\u308d\u3067\u306f\u306a\u3044\u304b\u3068\u601d\u3046\u304c\u6559\u79d1\u66f8\u306e\u7b54\u3048\u306f\u7570\u306a\u308b\u3002<\/p>\n<p><strong>\uff13\u7ae0\u6f14\u7fd2\u554f\u984c [4]<\/strong><\/p>\n<p>3\u30ad\u30ed\u30b0\u30e9\u30e0\u306e\u7269\u4f53\u304c\u4e00\u5b9a\u306e\u529b\u3092\u53d7\u3051\u3066\uff0c4\u79d2\u9593\u30674\u30e1\u30fc\u30c8\u30eb\u9032\u3080\u3002\u3053\u306e\u6642\u306e\u529b\u3092\u6c42\u3081\u308b\u3002\u7b49\u52a0\u901f\u5ea6\u904b\u52d5\u306a\u306e\u3067\uff0c\u6700\u7d42\u7684\u306a\u901f\u5ea6\u306e\u534a\u5206\u30674\u79d2\u9593\u9032\u3080\u5834\u5408\u3068\u540c\u3058\u79fb\u52d5\u8ddd\u96e2\u3002\u305d\u3053\u304b\u3089\u6700\u7d42\u7684\u306a\u901f\u5ea6\u3092\u5f97\u308b\u3002\u521d\u901f\u306f\u30bc\u30ed\u3067\u3042\u308b\u306e\u3067\u3001\u904b\u52d5\u91cf\u5909\u5316\u304c\u5206\u304b\u308b\u304c\u3001\u305d\u308c\u306f\u529b\u7a4d\u3068\u7b49\u3057\u3044\u304b\u3089\u529b\u304c\u5f97\u3089\u308c\u308b\u3002<\/p>\n<p><strong>3\u7ae0\u6f14\u7fd2\u554f\u984c [5]<\/strong><\/p>\n<p>\u3000\u30a8\u30ec\u30d9\u30fc\u30bf\u30fc\u306e\u4e2d\u3067\u9784\u3092\u63d0\u3052\u3066\u3044\u308b\u3068\u3044\u3046\u72b6\u6cc1\u3067\uff0c\u4e0a\u6607\u4e0b\u964d\u6642\u306e\u8155\u306b\u52a0\u308f\u308b\u529b\u3092\u6c42\u3081\u308b\u554f\u984c\u3002\u6700\u521d\u306b\u904b\u52d5\u65b9\u7a0b\u5f0f\u3092\u7acb\u3066\u308b\u3002\u5f8c\u306f\u4e0a\u6607\u6642\uff0c\u4e0b\u964d\u6642\u306e\u52a0\u901f\u5ea6\u3092\u3042\u3066\u306f\u3081\u308b\u3002<\/p>\n<p>\u6f14\u7fd2\u554f\u984c [6],[7] \u306f\u3084\u3089\u306a\u304b\u3063\u305f\u3002<\/p>\n<p><!--\n<strong>\u6f14\u7fd2\u554f\u984c [6]<\/strong>\n\n\u3000\u659c\u9762\u3092\u50be\u3051\u3066\u3044\u3063\u3066\u7269\u4f53\u304c\u3059\u3079\u308a\u59cb\u3081\u308b\u89d2\u5ea6\u304b\u3089\u6469\u64e6\u4fc2\u6570\u3092\u3060\u3059\u554f\u984c\u3002\u6700\u5927\u9759\u6b62\u6469\u64e6\u306e\u4fc2\u6570\u306f\u6ed1\u308a\u59cb\u3081\u308b\u89d2\u5ea6 [latex]\\theta[\/latex] \u306e [latex]\\tan \\theta[\/latex] \u306b\u306a\u308b\u3002\u3053\u306e\u554f\u984c\u3067\u306f\uff0c36\u5ea6\u306e\u50be\u304d\u3067\uff0c\u9759\u6b62\u6469\u64e6\u4fc2\u6570\u304c [latex]0.727 ...[\/latex] \u3068\u306a\u308b\u3002\n\n\u3000\u6559\u79d1\u66f8\u306e\u8868 3.1 \u306b\u3042\u308b\u6469\u64e6\u4fc2\u6570\u306e\u5024\u306b\u306f\uff0c\u30c6\u30d5\u30ed\u30f3\u4e0a\u306e\u9244\u306e\u6469\u64e6\u4fc2\u6570\u3068\u3057\u3066 [latex]0.04[\/latex] \u304c\u3042\u3052\u3089\u308c\u3066\u3044\u308b\u3002\u3053\u306e\u5834\u5408\u306e\u659c\u9762\u306e\u89d2\u5ea6\u306f[latex]2.29[\/latex] \u5ea6\u3068\u306a\u308a\uff0c\u304b\u306a\u308a\u5c0f\u3055\u3044\u3002\n\n<strong>\uff13\u7ae0\u6f14\u7fd2\u554f\u984c [7]<\/strong>\n\n\u3000\u521d\u901f [latex]20 \\, \\mathrm{m\/s}[\/latex] \u306e\u30db\u30c3\u30b1\u30fc\u30d1\u30c3\u30af\u304c [latex]120 \\, \\mathrm{m}[\/latex] \u6ed1\u3063\u3066\u505c\u6b62\u3057\u305f\u3002\u3053\u306e\u3068\u304d\u306e\u6469\u64e6\u4fc2\u6570\u3092\u6c42\u3081\u308b\u554f\u984c\u3002 [latex]v - t[\/latex] \u56f3\u3092\u66f8\u3044\u3066\u505c\u6b62\u3059\u308b\u307e\u3067\u306e\u6642\u9593\u3092\u6c42\u3081\uff0c\u305d\u3053\u304b\u3089\u52a0\u901f\u5ea6\u3092\u3060\u3059\u306e\u304c\u306f\u3084\u3044\u3057\u5206\u304b\u308a\u3084\u3059\u3044\u304c\uff0c\u6562\u3048\u3066\u4e0b\u8a18\u306e\u3088\u3046\u306b\u52a0\u901f\u5ea6\u304b\u3089\u7a4d\u5206\u3092\u3057\u3066\u5ea7\u6a19\u307e\u3067\u305f\u3069\u308a\u7740\u304f\u611f\u3058\u3067\u89e3\u7b54\u3059\u308b\u3002\n\n\n\n<ul>[latex]\\begin{eqnarray} \\displaystyle \na &=& - \\mu' \\,  g\\\\ \nv &=& \\int a \\, dt\\\\\n  &=& \\int - \\mu' \\,  g \\, dt\\\\\n  &=& - \\mu' \\,  g \\, t + C\n\\end{eqnarray}[\/latex]<\/ul>\n\n\n\n--><\/p>\n<p><span style=\"color: #ff0000;\">6\u65e5\u76ee\u306f3\u7ae0\u306e\u6f14\u7fd2\u3092\u9014\u4e2d\u307e\u3067\u3084\u308b\u30027\u65e5\u76ee\u306f3\u7ae0\u306e\u6b8b\u308a\u306e\u6f14\u7fd2\u554f\u984c\u3068\u4e2d\u9593\u30c6\u30b9\u30c8\u524d\u306a\u306e\u3067\uff0c2\u7ae0\u306e\u3084\u3063\u3066\u3044\u306a\u304b\u3063\u305f\u6f14\u7fd2\u3092\u3084\u3063\u305f\u30028\u65e5\u76ee\u306f\u4e2d\u9593\u30c6\u30b9\u30c8<\/span><\/p>\n<p><span style=\"color: #ff0000;\"><strong>4\u7ae0 \u3044\u308d\u3044\u308d\u306a\u904b\u52d5\uff08\uff11\uff09<\/strong><\/span><\/p>\n<p><strong>4.1 \u91cd\u529b\u306e\u3082\u3068\u3067\u306e\u904b\u52d5\uff11\uff08\u653e\u7269\u904b\u52d5\uff09<\/strong><\/p>\n<p><span style=\"color: #000099;\">\u3000\u5730\u8868\u3067\u306e\u91cd\u529b\u306b\u3088\u308b\u904b\u52d5\u306b\u95a2\u3059\u308b\u8a71\u3002\u653e\u7269\u7dda\u3068\u306a\u308b\u3053\u3068\u306f\u9ad8\u6821\u3067\u5341\u5206\u306b\u5b66\u7fd2\u6e08\u307f\u30022025\u5e74\u3001\u3053\u306e\u5185\u5bb9\u306f\u30d1\u30b9\u3057\u305f\u3002\u3053\u3053\u3067\u306e\u5fae\u5206\u65b9\u7a0b\u5f0f\u306f\u3059\u3067\u306b\u89e3\u3044\u3066\u3044\u308b\u3053\u3068\u3082\u7406\u7531\u3067\u3042\u308b\u3002\u904b\u52d5\u3092\u6c34\u5e73\u65b9\u5411\u3068\u925b\u76f4\u65b9\u5411\u306e2\u65b9\u5411\u306b\u5206\u3051\u3066\u53d6\u308a\u6271\u3046\u3053\u3068\u306b\u89e6\u308c\uff0c\u6163\u6027\u306e\u6cd5\u5247\u3068\u306e\u95a2\u9023\u3092\u8003\u3048\u308b\u3042\u305f\u308a\u3092\u8a71\u3059\u304b\u3069\u3046\u304b\u30022025\u5e74\u306f\u3053\u3053\u3092\u5168\u304f\u53d6\u308a\u6271\u308f\u306a\u304b\u3063\u305f\u306e\u3067\u8a71\u3055\u306a\u304b\u3063\u305f\u3002<\/span><\/p>\n<p><span style=\"color: #0000ff;\">\u904b\u52d5\u65b9\u7a0b\u5f0f<\/span><\/p>\n<p>\u3000\u5730\u8868\u3067\u306e\u7269\u4f53\u304c\u53d7\u3051\u308b\u529b\u306f\uff0c\u305d\u306e\u8cea\u91cf\u306b\u5fdc\u3058\u3066<\/p>\n<ul>\\(\\vec{F} = (0, m \\, g)\\)<\/ul>\n<p>\u305d\u3053\u304b\u3089\u904b\u52d5\u65b9\u7a0b\u5f0f\u306f<\/p>\n<ul>\\(\\begin{eqnarray} \\displaystyle<br \/>\nm \\, \\frac{d^2 x}{d t^2} &#038;=&#038; 0\\\\<br \/>\nm \\, \\frac{d^2 y}{d t^2} &#038;=&#038; &#8211; m \\, g\\\\<br \/>\n\\end{eqnarray}\\)<\/ul>\n<p>\u3053\u308c\u3089\u306e\u5f0f\u304b\u3089\uff0c(4.5)\u5f0f\u3084(4.6)\u5f0f\u3067\u8868\u3055\u308c\u308b\uff0c\u901f\u5ea6\u3068\u5ea7\u6a19\u306b\u95a2\u3059\u308b\u5f0f\u304c\u5f97\u3089\u308c\u308b\u304c\uff0c\u3059\u3067\u306b\u5b66\u7fd2\u6e08\u307f\u3068\u3044\u3046\u3053\u3068\u3067\u3053\u3053\u3067\u306f\u8a73\u7d30\u306f\u8a71\u3055\u306a\u3044\u3002\u305f\u3060 \\(x\\) \u65b9\u5411\u3068 \\(y\\) \u65b9\u5411\u3092\u72ec\u7acb\u306b\u6271\u3063\u3066\u826f\u3044\u3053\u3068\u3092\u53d6\u308a\u4e0a\u3052\u308b\u3002\u306a\u305c\u3001\u72ec\u7acb\u306b\u53d6\u308a\u6271\u3063\u3066\u826f\u3044\u306e\u3060\u308d\u3046\u304b\uff1f\u9ad8\u6821\u3067\u306f\u5b9f\u9a13\u4e8b\u5b9f\u3068\u3057\u3066\u6559\u308f\u308b\u306e\u3067\u306f\u306a\u304b\u3063\u305f\u304b\uff1f<\/p>\n<p><span style=\"color: #000099;\">\u653e\u7269\u904b\u52d5\u306e\u8ecc\u9053\u306f\u6559\u79d1\u66f8\u306b\u306f\u5b8c\u5168\u306a\u7d50\u679c\u306e\u5f0f\u304c\u66f8\u304b\u308c\u3066\u3044\u306a\u3044\u3002<\/span><\/p>\n<p><strong>4.2 \u91cd\u529b\u306e\u3082\u3068\u3067\u306e\u904b\u52d5\uff12\uff08\u7a7a\u6c17\u62b5\u6297\u306e\u5f71\u97ff\uff09<\/strong><\/p>\n<p><span style=\"color: #000099;\">\u3000\u5fae\u5206\u65b9\u7a0b\u5f0f\u3092\u89e3\u304f\u3068\u3044\u3046\u3053\u3068\u3092\u521d\u3081\u3066\u6271\u3046\u306e\u3067\uff0c\u6642\u9593\u3092\u304b\u3051\u308b\u3002\u529b\u5b66\u3089\u3057\u3044\u8a71\u3067\u3042\u308b\u3002<\/span><\/p>\n<p>\u3000\u6700\u521d\u306b\u7a7a\u6c17\u62b5\u6297\u306e\u30e2\u30c7\u30eb\u306b\u95a2\u3057\u3066\u8a71\u3059\u3002\u6559\u79d1\u66f8\u3067\u306f\u901f\u5ea6\u306e2\u4e57\u306b\u6bd4\u4f8b\u3059\u308b\u6163\u6027\u62b5\u6297\u3092\u4e71\u6d41\u306e\u52b9\u679c\u306b\u3088\u308b\u3082\u306e\u3068\u8a18\u8ff0\u3057\u3066\u3044\u308b\u3002\u8b1b\u7fa9\u3067\u306f\u7c21\u5358\u306a\u8aac\u660e\u306f\u3042\u308b\u3082\u306e\u306e\u3001\u305d\u308c\u304c\u6b63\u3057\u3044\u308f\u3051\u3067\u306f\u306a\u3044\u3068\u8aac\u660e\u3057\u305f\u306e\u307f\u3002\u901f\u5ea6\u304c\u6bd4\u8f03\u7684\u5c0f\u3055\u3044\u5834\u5408\u306b\u73fe\u308c\u308b\u7c98\u6027\u62b5\u6297\u306b\u95a2\u3057\u3066\u306f\uff0c\u7c21\u5358\u306a\u8aac\u660e\u3092\u3057\u305f\u306e\u307f\u3002\u7269\u4f53\u306e\u901f\u5ea6\u304c\u9045\u304f\u6d41\u4f53\u304c\u7269\u4f53\u8868\u9762\u306b\u6cbf\u3063\u3066\u5c64\u72b6\u306b\u6d41\u308c\uff0c\u6d41\u4f53\u4e2d\u306b\u901f\u5ea6\u5dee\u304c\u751f\u3058\u308b\u3088\u3046\u306a\u5834\u5408\u306e\u62b5\u6297\u306e\u30e2\u30c7\u30eb\u3067\u3042\u308b\u3002\u306a\u305c\u901f\u5ea6\u306b\u6bd4\u4f8b\u3059\u308b\u306e\u304b\u306f\u79c1\u306b\u306f\u826f\u304f\u5206\u304b\u3063\u3066\u3044\u306a\u3044\u304c\uff0c\u6d41\u4f53\u3092\u5f15\u304d\u305a\u308b\u30a4\u30e1\u30fc\u30b8\u306a\u306e\u3060\u308d\u3046\u304b\uff1f\u901f\u5ea6\u5dee\u304b\u3089\u6469\u64e6\u306e\u3088\u3046\u306a\u529b\u304c\u60f3\u5b9a\u3067\u304d\u308b\u3068\u306e\u307f\u8a71\u3057\u305f\u3002<\/p>\n<p>\u3000\u3053\u306e\u3042\u3068\uff0c\u901f\u5ea6\u306b\u6bd4\u4f8b\u3059\u308b\u65b9\u306e\u7c98\u6027\u62b5\u6297\u306e\u5834\u5408\u3092\u89e3\u304f\u3002\u96e8\u6ef4\u304c\u843d\u4e0b\u3059\u308b\u5834\u5408\u306e\u904b\u52d5\u65b9\u7a0b\u5f0f\uff08\u5fae\u5206\u65b9\u7a0b\u5f0f\uff09\u3092\u5909\u6570\u5206\u96e2\u3092\u4f7f\u3063\u3066\u89e3\u3044\u305f\u3002<\/p>\n<ul>\\(\\displaystyle m \\, \\frac{d v}{d t} = m \\, g &#8211; c \\, v\\)<\/ul>\n<p>\u8a08\u7b97\u306b\u304a\u3044\u3066\\(c\\) \u3092 \\(m \\, k\\) \u3067\u7f6e\u304d\u63db\u3048\u3066\u3044\u308b\u304c\uff0c\u6700\u7d42\u7684\u306b\u306f  \\(k\\) \u3092\u4f7f\u7528\u3057\u3066\u3044\u306a\u3044\u306e\u3067\u610f\u56f3\u304c\u826f\u304f\u5206\u304b\u3089\u306a\u3044\u3002\u8a08\u7b97\u306f\u6559\u79d1\u66f8\u306e\u3082\u306e\u306e\u9699\u9593\u3092\u57cb\u3081\u308b\u3050\u3089\u3044\u3067\u3042\u308b\u3002\u4e0b\u8a18\u306e\u96e8\u6ef4\u306e\u901f\u5ea6\u306e\u5f0f\u306e\u30b0\u30e9\u30d5\u3092\u8aac\u660e\u3057\u3066\u7d42\u4e86\u3002<\/p>\n<ul>\\(\\displaystyle v = \\frac{m \\, g}{c} \\, \\left( 1 &#8211; \\exp \\left( &#8211; \\frac{c \\, t}{m} \\right) \\right)\\)<\/ul>\n<p><strong>4.3 \u675f\u7e1b\u529b\u306e\u50cd\u304f\u904b\u52d5\uff08\u675f\u7e1b\u904b\u52d5\uff09<\/strong><\/p>\n<p><span style=\"color: #000099;\">\u3000\u529b\u5b66\u306e\u6559\u79d1\u66f8\u306b\u306f\u675f\u7e1b\u904b\u52d5\u306e\u8a71\u304c\u591a\u304f\u3042\u308b\u3002\u305d\u3053\u306b\u306f\u6b74\u53f2\u7684\u306a\u7d4c\u7def\u304c\u3042\u308b\u3088\u3046\u3060\u3002\u3000\u529b\u5b66\u304c\uff0c\u5fae\u5206\u65b9\u7a0b\u5f0f<\/span><\/p>\n<ul>\\(\\displaystyle m \\,\\frac{d^2 x}{d t^2} = f_x, \\quad m \\, \\frac{d^2 y}{d t^2} = f_y, \\quad m \\, \\frac{d^2 z}{d t^2} = f_z\\)<\/ul>\n<p><span style=\"color: #000099;\">\u3053\u308c\u3089\u306b\u3088\u308a\u904b\u52d5\u304c\u6c7a\u5b9a\u3055\u308c\u308b\u3068\u5b9a\u5f0f\u5316\u3055\u308c\u305f\u5f8c\u306f\uff0c\u305d\u308c\u305e\u308c\u306e\u7269\u4f53\u9593\u306e\u529b\u304c\u4e07\u6709\u5f15\u529b\u306e\u3088\u3046\u306b\u660e\u78ba\u3067\u3042\u308c\u3070\uff0c\u554f\u984c\u306f\u5fae\u5206\u65b9\u7a0b\u5f0f\u304c\u89e3\u3051\u308b\u304b\u3069\u3046\u304b\u3060\u3051\u306b\u306a\u308b\u3002\u3057\u304b\u3057\u7269\u4f53\u9593\u306e\u529b\u304c\u672a\u77e5\u3067\u3042\u308b\u5834\u5408\uff0c\u3064\u307e\u308a\u5fae\u5206\u65b9\u7a0b\u5f0f\u3092\u89e3\u3044\u305f\u306e\u3061\u306b\u6c7a\u5b9a\u3055\u308c\u308b\u3088\u3046\u306a\u5834\u5408\u3082\u3042\u308b\u3002\u7269\u4f53\u304c\u8907\u6570\u5b58\u5728\u3059\u308b\u7cfb\u3067\uff0c\u305d\u308c\u305e\u308c\u306e\u7269\u4f53\u304c\u76f8\u4e92\u4f5c\u7528\u3059\u308b\u3088\u3046\u306a\u72b6\u6cc1\uff08\u56fa\u3044\u62d8\u675f\uff0c\u3042\u308b\u3044\u306f\u67d4\u3089\u304b\u3044\u62d8\u675f\u304c\u3042\u308b\u72b6\u6cc1\uff09\u304c\uff0c\u529b\u5b66\u306e\u6b21\u306a\u308b\u30bf\u30fc\u30b2\u30c3\u30c8\u306b\u306a\u3063\u305f\u3068\u3044\u3046\u7d4c\u7def\u304c\u95a2\u4fc2\u3057\u3066\u3044\u308b\u306e\u3067\u306f\u306a\u3044\u304b\u3002<br \/>\n\u3000\u3082\u3068\u3082\u3068\u304c\uff0c\u529b\u306f\u7269\u4f53\u9593\u306e\u62d8\u675f\u306e\u3088\u3046\u306a\u3082\u306e\u3067\u3042\u308b\u3002\u5730\u7403\u3068\u592a\u967d\u306e\u904b\u52d5\u3092\u8003\u3048\u308b\u3068\u304d\u3082\uff0c\u4e21\u65b9\u3092\u4e00\u7dd2\u306e\u7cfb\u3068\u3057\u3066\u6271\u3048\u3070\u4e07\u6709\u5f15\u529b\u3082\u62d8\u675f\u306e\u4e00\u7a2e\u3067\u3042\u308b\u3002<\/span><\/p>\n<p><span style=\"color: #000099;\">\u675f\u7e1b\u529b\u304c\u3042\u308b\u3082\u306e\u3068\u3057\u3066\u8a71\u3092\u59cb\u3081\u306a\u3044\u30022025\u5e74\u306f\u3001\u3059\u3067\u306b\u675f\u7e1b\u529b\u306e\u8a71\u3092\u3057\u3066\u3044\u308b\u306e\u3067\u3001\u675f\u7e1b\u529b\u3068\u306f\u4f55\u304b\u3068\u3044\u3046\u8a71\u306f\u3057\u306a\u304b\u3063\u305f\u3002<\/span><\/p>\n<p>\u3000\u904b\u52d5\u3068\u306f\u529b\u306b\u3088\u3063\u3066\u751f\u3058\u308b\u3082\u306e\u3067\uff0c\u305d\u306e\u529b\u306e\u65b9\u5411\u306b\u52d5\u304d\u51fa\u3059\u3002\u3057\u304b\u3057\u659c\u9762\u306e\u7269\u4f53\u306f\u529b\u306e\u65b9\u5411\u306b\u79fb\u52d5\u3057\u306a\u3044\u3002\u307e\u305f\u632f\u308a\u5b50\u306f\u91cd\u529b\u65b9\u5411\u306b\u904b\u52d5\u305b\u305a\u5186\u5468\u4e0a\u3092\u904b\u52d5\u3059\u308b\u3002\u3053\u3046\u3044\u3063\u305f\u73fe\u8c61\u304b\u3089\u675f\u7e1b\u529b\u306e\u5b58\u5728\u304c\u77e5\u308c\u308b\u3002<\/p>\n<p><span style=\"color: #000099;\">\u659c\u9762\u4e0a\u306e\u6ed1\u7a7a\u904b\u52d5\u3068\u5782\u76f4\u6297\u529b\u306f\u30d1\u30b9\u3059\u308b\u3002\u5358\u632f\u308a\u5b50\u3068\u5f35\u529b\u304b\u3089\u59cb\u3081\u308b\u65b9\u304c\u9069\u5207\u3060\u3068\u601d\u3046\u3002<\/span><\/p>\n<p><span style=\"color: #0000ff;\">\u5358\u632f\u308a\u5b50\u3068\u5f35\u529b<\/span><\/p>\n<p><span style=\"color: #000099;\">\u6559\u79d1\u66f8\u3067\u306f\u6975\u5ea7\u6a19\u3092\u7528\u3044\u3066\u3044\u308b\u3068\u306f\u66f8\u3044\u3066\u3044\u306a\u3044\u3002\\(r\\) \u65b9\u5411\u3068\u53cd\u5bfe\u5411\u304d\u306b\u6cd5\u7dda\u65b9\u5411\uff08\\(n\\) \u65b9\u5411\uff09\u3092\u3068\u3063\u3066\u3044\u308b\u304c\uff0c\u305d\u306e\u3053\u3068\u306f(4.42)\u5f0f\u306b\u306f\u5f71\u97ff\u305b\u305a\u7b26\u53f7\u304c\u5909\u308f\u308b\u3053\u3068\u306f\u306a\u3044\u3002\u660e\u78ba\u306b\u6975\u5ea7\u6a19\u306e\u4f8b\u3068\u3057\u3066\u6271\u3046\u65b9\u304c\u826f\u3044\u306e\u3067\u306f\u306a\u3044\u304b\u3002<\/span><\/p>\n<p>\u3000\u6559\u79d1\u66f8\u3067\u306f\uff0c\u632f\u308a\u5b50\u306e\u632f\u308c\u89d2\u3092 \\(\\theta\\) \u3068\u3057\u3066\uff0c\u9318\u304b\u3089\u70b9O\u3092\u5411\u3044\u305f\u65b9\u5411\uff08\uff4e\uff09\u3068\u632f\u308a\u5b50\u306e\u8ecc\u9053\u306e\u65b9\u5411\uff08\uff54\uff09\u306e\uff12\u65b9\u5411\u3067\u904b\u52d5\u65b9\u7a0b\u5f0f\u3092\u7d44\u307f\u7acb\u3066\u308b\u3002<\/p>\n<p><a href=\"http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/06\/20190614b1.png\"><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/06\/20190614b1-300x205.png\" alt=\"\" width=\"300\" height=\"205\" class=\"aligncenter size-medium wp-image-8210\" srcset=\"http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/06\/20190614b1-300x205.png 300w, http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/06\/20190614b1.png 341w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a><\/p>\n<p>\u8ecc\u9053\u534a\u5f84\u3092  \\(l\\) \u3068\u3057\u3066\uff0c\u65b9\u7a0b\u5f0f\u306f\u4e0b\u8a18\u306e\u5f0f\u3068\u306a\u308b\u3002<\/p>\n<ul>\\(\\begin{eqnarray} \\displaystyle<br \/>\n m \\, a_t &#038;=&#038; m \\, l \\, \\frac{d^2 \\theta}{d t^2} = &#8211; m \\, g \\sin \\theta\\\\<br \/>\n m \\, a_n &#038;=&#038; m \\, l \\, \\left(\\frac{d \\theta}{d t} \\right)^2 = T &#8211; m \\, g \\cos \\theta<br \/>\n\\end{eqnarray}\\)<\/ul>\n<p>\u632f\u308a\u5b50\u306e\u904b\u52d5\u3068\u3068\u3082\u306b\uff4e\u65b9\u5411\u3068\uff54\u65b9\u5411\u304c\u5909\u5316\u3057\u3066\u3057\u307e\u3046\u306e\u304c\u3044\u3084\u306a\u6c17\u304c\u3059\u308b\u304c\uff0c\u3053\u308c\u304c\u6975\u5ea7\u6a19\u3067\u3042\u308b\u3002<\/p>\n<p><span style=\"color: #000099;\">\u3053\u3053\u307e\u3067\u306f\u3001\u6559\u79d1\u66f8\u306e\u901a\u308a\u306b\u9032\u3081\u308b\u3002\u3053\u306e\u5f8c\u3001\u6559\u79d1\u66f836\u30da\u30fc\u30b8\u306b\u3042\u308b\u5186\u904b\u52d5\u306e\u5834\u5408\u306e\u6975\u5ea7\u6a19\u3067\u306e\u52a0\u901f\u5ea6\u306e\u5f0f\u3068\u306e\u95a2\u9023\u3092\u8a71\u3059\u3002<\/span><\/p>\n<p>\u4ed6\u306e\u6559\u79d1\u66f8\u304c\u3069\u306e\u3088\u3046\u306b\u8aac\u660e\u3057\u3066\u3044\u308b\u304b\u3092\u898b\u3066\u307f\u308b\u3002\u4f8b\u3048\u3070\u3001\u85e4\u539f\u90a6\u7537\u5148\u751f\u306e\u300e\u7269\u7406\u5b66\u5e8f\u8ad6\u3068\u3057\u3066\u306e\u529b\u5b66\u300f\u306e87\u30da\u30fc\u30b8\u3092\u307f\u308b\u3068\u6975\u5ea7\u6a19\u3067\u8a18\u8ff0\u3057\u3066\u3044\u308b\u3002\u305d\u306e\u65b9\u7a0b\u5f0f\u306f\u4e0b\u8a18\u3002<\/p>\n<ul>\\(\\begin{eqnarray} \\displaystyle<br \/>\n m \\, a_r &#038;=&#038; m \\, \\left( \\frac{d^2 r}{d t^2} &#8211; r \\, \\left( \\frac{d \\varphi}{d t} \\right)^2 \\right) = m \\, g \\cos \\varphi &#8211; T\\\\<br \/>\n m \\, a_{\\varphi} &#038;=&#038; m \\, \\frac{1}{r} \\, \\frac{d}{d t} \\, \\left( r^2 \\frac{d \\varphi}{d t} \\right) = &#8211; m \\, g \\sin \\varphi<br \/>\n\\end{eqnarray}\\)<\/ul>\n<p>\\(r = l\\) \u3067 \\(r\\) \u304c\u4e00\u5b9a\u3067\u3042\u308b\u306e\u3067\uff0c\u6559\u79d1\u66f8\u306e\u5f0f\u3068\u540c\u3058\u3082\u306e\u306b\u5e30\u7740\u3059\u308b\u3002\u305f\u3060\u3057 \\(r\\) \u306e\u57fa\u672c\u30d9\u30af\u30c8\u30eb\u306e\u65b9\u5411\u306f\u3001\u6559\u79d1\u66f8\u306e\u6cd5\u7dda\u65b9\u5411\u3068\u306f\u53cd\u5bfe\u5411\u304d\u306a\u306e\u3067\u3001\u6b63\u8ca0\u304c\u53cd\u5bfe\u306b\u306a\u3063\u3066\u3044\u308b\u3002<\/p>\n<p>\u3000\u6559\u79d1\u66f8\u306e36\u30da\u30fc\u30b8\u306b\u3042\u308b\u5186\u904b\u52d5\u306e\u5834\u5408\u306e\u6975\u5ea7\u6a19\u3067\u306e\u52a0\u901f\u5ea6\u306e\u5f0f\u306f\u4e0b\u8a18\u3002<\/p>\n<ul>\\( \\displaystyle<br \/>\n\\vec{a}= &#8211; r \\left(\\frac{d \\theta}{d t} \\right)^2 \\, \\vec{e_{r}} + r \\,  \\frac{d^2 \\theta}{d t^2} \\, \\vec{e_{\\theta}}<br \/>\n\\)<\/ul>\n<p>\u3053\u306e\u305d\u308c\u305e\u308c\u306e\u57fa\u672c\u30d9\u30af\u30c8\u30eb\u306e\u4fc2\u6570\u306b\uff0c\\(a_t\\) \u3084 \\(a_n\\) \u304c\u73fe\u308c\u3066\u3044\u308b\u3068\u3044\u3046\u8a71\u3092\u3057\u305f\u3002<\/p>\n<p>\u6b21\u306b\u632f\u308a\u5b50\u306e\u904b\u52d5\u65b9\u7a0b\u5f0f\u3092\u89e3\u304f\u3002\u305d\u3053\u3067\u4f7f\u7528\u3059\u308b \\(\\sin \\theta \\approx \\theta\\) \u306e\u89e3\u8aac\u3092 2025 \u5e74\u306f\u3057\u5fd8\u308c\u305f\u3002<\/p>\n<p><a href=\"http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/06\/20190614c1.png\"><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/06\/20190614c1-300x223.png\" alt=\"\" width=\"300\" height=\"223\" class=\"aligncenter size-medium wp-image-8213\" srcset=\"http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/06\/20190614c1-300x223.png 300w, http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/06\/20190614c1.png 368w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a><\/p>\n<p>\u8fd1\u4f3c\u306e\u5185\u5bb9\u3092\u8a18\u3059\u3002\u30e9\u30b8\u30a2\u30f3\u3067\u3042\u308b\u304b\u3089\u534a\u5f84 1 \u306e\u5186\u3067\u89d2\u306b\u5bfe\u5fdc\u3059\u308b\u5f27\u306e\u9577\u3055\u3067\u89d2\u5ea6\u3092\u8868\u3059\u3002\u305d\u308c\u6545\uff0c\u5f27\u306e\u9577\u3055\u304c \\(\\theta\\) \u3067\u3042\u308b\u304c\uff0c\u3053\u308c\u3092 \\(\\sin \\theta\\) \u3068\u7b49\u3057\u3044\u3068\u3059\u308b\u8fd1\u4f3c\u3067\u3042\u308b\u3002\\(5^{\\circ}\\) \u3067\u306e\u30e9\u30b8\u30a2\u30f3\u306e\u5024\u3068\u30b5\u30a4\u30f3\u306e\u5024\u3092\u4f8b\u3068\u3057\u3066\u3042\u3052\u308b\u3002\u305d\u306e\u5dee\u306f0.1%\u7a0b\u5ea6\u3067\u3042\u308b\u3002<\/p>\n<p>\u3053\u306e\u8fd1\u4f3c\u3092\u7528\u3044\u308b\u3068\uff54\u65b9\u5411\u306e\u65b9\u7a0b\u5f0f\u304c\u4e0b\u8a18\u3068\u306a\u308b\u3002<\/p>\n<ul>\\( \\displaystyle<br \/>\n\\frac{d^2 \\theta}{d t^2}= &#8211; \\frac{g}{l} \\,  \\theta\\\\<br \/>\n\\)<\/ul>\n<p>\u3053\u308c\u3092\u89e3\u304f\u308f\u3051\u3060\u304c\uff0c\u6559\u79d1\u66f8\u3067\u306f\u8a73\u3057\u3044\u8a71\u3092\u305b\u305a\u4e00\u822c\u89e3\u3092\u4e0e\u3048\u3066\u3044\u308b\u3002\u8b1b\u7fa9\u3067\u3082\u305d\u308c\u306b\u5f93\u3063\u3066\u5fae\u5206\u65b9\u7a0b\u5f0f\u3092\u89e3\u304c\u6e80\u305f\u3059\u3053\u3068\u3092\u793a\u3059\u3060\u3051\u306b\u3057\u305f\u3002<\/p>\n<p>\u4e00\u822c\u89e3\u306f<\/p>\n<ul>\\( \\displaystyle<br \/>\n\\theta = A \\, \\cos  \\left( \\sqrt{\\frac{g}{l}} t + \\delta \\right)<br \/>\n\\)<\/ul>\n<p>\u4efb\u610f\u5b9a\u6570\u304c2\u3064\u542b\u307e\u308c\u308b\u306e\u3067\u4e00\u822c\u89e3\u3060\u3068\u3044\u3046\u8a71\u306f\u6570\u5b66\u306e\u6388\u696d\u306b\u59d4\u306d\u308b\u3002<\/p>\n<p>\u3053\u306e\u7d50\u679c\u3092\u5143\u306e\u5fae\u5206\u65b9\u7a0b\u5f0f\u306b\u623b\u3057\u3066\uff0c\u5f35\u529b \\(T\\)\u3092\u5f97\u308b\u3053\u3068\u306f\u96e3\u3057\u3044\u3002\u3059\u3067\u306b\u8fd1\u4f3c\u3092\u4f7f\u3063\u305f\u5f8c\u3067\u3042\u308a\uff0c\u305d\u3046\u306a\u308b\u3068\\(\\cos \\theta\\) \u306e\u8fd1\u4f3c\u306f\u3069\u3046\u3059\u308b\u304b\u304c\u554f\u984c\u306b\u306a\u308b\u3002\u3053\u3053\u3067\u306f\uff0c4\u7ae0 \u6f14\u7fd2\u554f\u984c [6] \u3092\u3084\u3063\u3066\u307f\u308b\u3002\u72b6\u6cc1\u306f\u540c\u3058\u3067\u3042\u308a\uff0c\u3053\u308c\u306b\u3082\u7cf8\u306e\u5f35\u529b\u304c\u51fa\u3066\u304f\u308b\u3002\u30a8\u30cd\u30eb\u30ae\u30fc\u4fdd\u5b58\u5247\u3092\u8003\u616e\u3059\u308c\u3070\u3001\u5f35\u529b\u306f\u53b3\u5bc6\u89e3\u304c\u5f97\u3089\u308c\u308b\u3002<\/p>\n<p><span style=\"color: #ff0000;\">\uff19\u65e5\u76ee\u306e\u7d42\u4e86<\/span><\/p>\n<p><strong>4\u7ae0 \u6f14\u7fd2\u554f\u984c [6]<\/strong><\/p>\n<p>\u3000\u632f\u308a\u5b50\u306e\u7cf8\u306e\u5f35\u529b \\(T\\)\u3092\u5f97\u308b\u305f\u3081\u306b\uff0c\u6f14\u7fd2\u554f\u984c\u306e[6]\u3092\u3068\u308a\u3042\u3052\u308b\u3002\u30a8\u30cd\u30eb\u30ae\u30fc\u4fdd\u5b58\u5247\u306f6\u7ae0\u3067\u5b66\u3076\u306e\u3060\u304c\uff0c\u3053\u306e\u554f\u984c\u3067\u306f\u30a8\u30cd\u30eb\u30ae\u30fc\u4fdd\u5b58\u5247\u3092\u4f7f\u308f\u3056\u308b\u3092\u5f97\u306a\u3044\u3002<\/p>\n<p><a href=\"http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/06\/4\u7ae0\u6f14\u7fd2\u554f\u984c\uff16.png\"><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/06\/4\u7ae0\u6f14\u7fd2\u554f\u984c\uff16-300x188.png\" alt=\"\" width=\"300\" height=\"188\" class=\"aligncenter size-medium wp-image-8281\" srcset=\"http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/06\/4\u7ae0\u6f14\u7fd2\u554f\u984c\uff16-300x188.png 300w, http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/06\/4\u7ae0\u6f14\u7fd2\u554f\u984c\uff16-768x480.png 768w, http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/06\/4\u7ae0\u6f14\u7fd2\u554f\u984c\uff16-1024x640.png 1024w, http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/06\/4\u7ae0\u6f14\u7fd2\u554f\u984c\uff16-600x375.png 600w, http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/06\/4\u7ae0\u6f14\u7fd2\u554f\u984c\uff16.png 1152w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a><\/p>\n<p>\u3000\u554f\u984c\u306f\uff0c\u6700\u4e0b\u70b9\u3067\u306e\u901f\u3055\u3092 \\(v_0\\) \u3068\u3057\u3066\uff0c\u632f\u308a\u5b50\u306e\u632f\u308c\u89d2 \\(\\phi\\) \u3068\u5f35\u529b \\(T\\) \u306e\u95a2\u4fc2\u3092\u6c42\u3081\u308b\u3082\u306e\u3002\u5f35\u529b\u304c\u73fe\u308c\u308b\u5f0f\u3068\u3057\u3066\u306f69\u30da\u30fc\u30b8(4.42)\u5f0f\u304c\u3042\u3063\u3066\uff0c  \\(\\theta\\) \u3092 \\(\\phi\\) \u306b\u5165\u308c\u66ff\u3048\u3066<\/p>\n<ul>\\(\\displaystyle<br \/>\n m \\, a_n = m \\, l \\, \\left(\\frac{d \\phi}{d t} \\right)^2 = T &#8211; m \\, g \\cos \\phi .<br \/>\n\\)<\/ul>\n<p>\u4e0a\u8a18\u306e  \\(\\displaystyle \\frac{d \\phi}{d t} \\) \u306f\u89d2\u901f\u5ea6\u3067\uff0c\u901f\u5ea6\u3068\u306f \\(\\displaystyle v = l \\, \\frac{d \\phi}{d t}\\) \u306e\u95a2\u4fc2\u306b\u3042\u308b\u3002\u4e0a\u5f0f\u306b\u4ee3\u5165\u3057\u3066\u4e0b\u8a18\u3068\u306a\u308b\u3002<\/p>\n<ul>\\(\\displaystyle<br \/>\n \\frac{m}{l} \\, v^2 = T &#8211; m \\, g \\cos \\phi .<br \/>\n\\)<\/ul>\n<p>\u3042\u308b\u632f\u308c\u89d2  \\(\\phi\\) \u3067\u306e\u901f\u3055\u306f\u30a8\u30cd\u30eb\u30ae\u30fc\u4fdd\u5b58\u5247\u3067\u6c42\u3081\u3089\u308c\u3066\uff0c<\/p>\n<ul>\\(\\displaystyle<br \/>\nv^2 = {v_0}^2 &#8211; 2 \\, g \\, l \\, \\left( 1 &#8211; \\cos \\phi \\right) .<br \/>\n\\)<\/ul>\n<p>\u3053\u308c\u3092\u5229\u7528\u3057\u3066\uff0c\u632f\u308c\u89d2\u3068\u5f35\u529b\u306e\u95a2\u4fc2\u5f0f\u304c\u6c42\u3081\u3089\u308c\u308b\u3002<\/p>\n<ul>\\(\\displaystyle<br \/>\nT = m \\, \\frac{{v_0}^2}{l} + m \\, g \\, \\left( 3 \\, \\cos \\phi &#8211; 2 \\right) .<br \/>\n\\)<\/ul>\n<p>\u3053\u306e\u5f35\u529b\u306f\u8fd1\u4f3c\u306b\u3088\u3063\u3066\u5f97\u3089\u308c\u305f\u3082\u306e\u3067\u306f\u306a\u304f\uff0c\u53b3\u5bc6\u306a\u5024\u3067\u3042\u308b\u3002\u305f\u3060\u3057\u3001\u5f35\u529b\u3092\u632f\u308c\u89d2  \\(\\phi\\) \u306e\u95a2\u6570\u3068\u3057\u3066\u6c42\u3081\u305f\u3082\u306e\u3067\u3001\u6642\u9593\u306e\u95a2\u6570\u3068\u3057\u3066\u5f97\u3089\u308c\u305f\u308f\u3051\u3067\u306f\u306a\u3044\u3002<\/p>\n<p><strong>4.4 \u5f80\u5fa9\u904b\u52d5\uff08\u5358\u632f\u52d5\uff09<\/strong><\/p>\n<p><span style=\"color: #000099;\">\u3000\u5148\u306e\u632f\u308a\u5b50\u306e\u8a71\u3068\u8a08\u7b97\u306f\u91cd\u306a\u308b\u304c\uff0c\u7269\u7406\u306b\u8a73\u3057\u304f\u306a\u3044\u5b66\u751f\u3082\u3044\u308b\u3053\u3068\u3092\u8003\u616e\u3057\u3066\uff0c\u3068\u308a\u3042\u3048\u305a\u4f55\u306e\u8a71\u304b\u6700\u521d\u306b\u660e\u78ba\u306b\u3057\u3066\u59cb\u3081\u308b\u5fc5\u8981\u306f\u3042\u308b\u3002\u73fe\u5b9f\u4e16\u754c\u306b\u304a\u3044\u3066\uff0c\u30d5\u30c3\u30af\u306e\u6cd5\u5247\u306f\u591a\u304f\u898b\u3089\u308c\uff0c\u632f\u52d5\u304c\u5358\u632f\u52d5\u3068\u306a\u308b\u4f8b\u306f\u591a\u3044\u3053\u3068\u3092\u6700\u521d\u306b\u8ff0\u3079\u308b\u3002\u5177\u4f53\u7684\u306a\u5fa9\u5143\u529b\u306e\u4f8b\u3092\u3070\u306d\u4ee5\u5916\u3082\u3042\u3052\u308b\u3068\u826f\u3044\u306e\u304b\u3082\u3057\u308c\u306a\u3044\u3002<\/span><\/p>\n<p><span style=\"color: #0000ff;\">\u3070\u306d\u306e\u5f3e\u529b\u306b\u3088\u308b\u5358\u632f\u52d5<\/span><\/p>\n<p>\u3070\u306d\u306e\u7d75\u3092\u66f8\u3044\u3066\u5ea7\u6a19 \\(x\\) \u306e\u53d6\u308a\u65b9\u3084\u529b\u306e\u5411\u304d\u306e\u8a71\u3092\u3057\u3066\u5fa9\u5143\u529b\u3068\u306f\u3069\u306e\u3088\u3046\u306a\u3082\u306e\u304b\u8a71\u3057\u305f\u3002<\/p>\n<ul>\\( \\displaystyle<br \/>\nF = &#8211; k \\, x<br \/>\n\\)<\/ul>\n<p>\u3000\u4e0a\u8a18\u304b\u3089\u904b\u52d5\u65b9\u7a0b\u5f0f\u306f\u4e0b\u8a18\u306e\u3088\u3046\u306b\u306a\u308b\u3002<\/p>\n<ul>\\( \\displaystyle<br \/>\nm \\, \\frac{d^2 x}{d t^2}= &#8211; k \\, x<br \/>\n\\)<\/ul>\n<p>\u3053\u308c\u306f\u632f\u308a\u5b50\u306b\u304a\u3044\u3066\uff0c\u632f\u308c\u89d2\u304c\u5c0f\u3055\u3044\u3068\u3057\u3066\u8fd1\u4f3c\u3092\u3057\u305f\u5834\u5408\u3068\u4f3c\u305f\u5f0f\u3067\u3042\u308b\u3002\u305d\u308c\u6545\u89e3\u306f\uff0c\u4e0b\u8a18\u3068\u306a\u308b\u3002<\/p>\n<ul>\\( \\displaystyle<br \/>\nx = A \\, \\cos  \\left( \\omega \\, t + \\alpha \\right)<br \/>\n\\)<\/ul>\n<p>\u3053\u3053\u3067 \\(\\displaystyle \\omega = \\sqrt{ \\frac{k}{m} }\\) \u3067\uff0c\u5468\u671f\u306f\u4e0b\u8a18\u3002<\/p>\n<ul>\\( \\displaystyle<br \/>\nT = 2 \\, \\pi \\sqrt{\\frac{m}{k}}<br \/>\n\\)<\/ul>\n<p>\u632f\u308a\u5b50\u3068\u306f\u7570\u306a\u308a\uff0c\u5358\u632f\u52d5\u3067\u306f\u5468\u671f\u306e\u5f0f\u306b\u8cea\u91cf\u304c\u73fe\u308c\u308b\u3002\u3067\u3082\u3084\u306f\u308a\u632f\u5e45\u306f\u73fe\u308c\u306a\u3044\u3002<\/p>\n<p><span style=\"color: #000099;\">\u632f\u5e45\u304c\u5909\u308f\u3063\u3066\u3082\u5468\u671f\u304c\u5909\u5316\u3057\u306a\u3044\u7406\u7531\u306e\u8aac\u660e\u306f\u3084\u3089\u306a\u304b\u3063\u305f\u3002<\/span><\/p>\n<p><strong>\u4f8b\u984c4.2<\/strong><\/p>\n<p><span style=\"color: #000099;\">2025\u5e74\u5ea6\u3001\u3053\u306e\u4f8b\u984c\u306f\u30d1\u30b9\u3002<\/span><\/p>\n<p>\u5186\u9310\u632f\u308a\u5b50\u306f\u7b49\u901f\u5186\u904b\u52d5\u3092\u3057\u3066\u3044\u308b\u306e\u3067\uff0c\u5186\u904b\u52d5\u306e\u5411\u5fc3\u529b \\(F\\) \u304c\u3042\u308b\u3068\u4e88\u60f3\u3055\u308c\u308b\u3002\u91cd\u529b\u306f\u925b\u76f4\u4e0b\u5411\u304d\u3067\uff0c\u5411\u5fc3\u529b\u306f\u6c34\u5e73\u65b9\u5411\u306a\u306e\u3067\uff0c\u91cd\u529b\u306e\u307f\u3067\u306f\u5411\u5fc3\u529b\u306f\u4f5c\u308a\u3060\u305b\u306a\u3044\u3002\u3069\u3046\u3057\u3066\u3082\u7cf8\u306e\u5f35\u529b \\(T\\) \u3092\u8003\u3048\u308b\u5fc5\u8981\u304c\u3042\u308b\u3002\u7cf8\u306e\u5f35\u529b\u3068\u91cd\u529b\u3092\u5408\u6210\u3057\u305f\u529b\u304c\u5186\u904b\u52d5\u306e\u5411\u5fc3\u529b\u3068\u306a\u308b\u3002<\/p>\n<p> \\(F\\) \u306f\u6c34\u5e73\u6210\u5206\u306e\u307f\u3067\u3042\u308b\u304b\u3089\uff0c\u91cd\u529b\u3068 \\(T\\) \u306e\u925b\u76f4\u6210\u5206\u304c\u91e3\u308a\u5408\u3063\u3066\u3044\u308b\u3002<\/p>\n<ul>\\(\\begin{eqnarray} \\displaystyle<br \/>\n T \\, \\cos \\theta &#038;=&#038; m \\, g\\\\<br \/>\n T &#038;=&#038; \\frac{m \\, g}{\\cos \\theta}<br \/>\n\\end{eqnarray}\\)<\/ul>\n<p>\u307e\u305f\uff0c\u5f35\u529b\u306e\u307f\u304c\u6c34\u5e73\u6210\u5206\u3092\u6301\u3064\u306e\u3067<\/p>\n<ul>\\(\\begin{eqnarray} \\displaystyle<br \/>\n T \\, \\sin \\theta &#038;=&#038; F\\\\<br \/>\n F &#038;=&#038; \\frac{m \\, g}{\\cos \\theta} \\, \\sin \\theta<br \/>\n\\end{eqnarray}\\)<\/ul>\n<p>\u7cf8\u306e\u9577\u3055\u306f \\(l\\)\uff0c\u5186\u904b\u52d5\u306e\u534a\u5f84\u306f \\(l \\, \\sin \\theta\\) \u3060\u304b\u3089\uff0c\u6c42\u3081\u308b\u632f\u308a\u5b50\u306e\u901f\u3055\u3092 \\(v\\) \u3068\u3059\u308c\u3070\uff0c\u5411\u5fc3\u529b\u306f \\(\\displaystyle m \\, \\frac{v^2}{l \\, \\sin \\theta}\\) \u3067\u3042\u308b\u306e\u3067\uff0c\u4ee5\u4e0b\u306e\u5f0f\u304c\u6210\u308a\u7acb\u3064\u3002<\/p>\n<ul>\\(\\begin{eqnarray} \\displaystyle<br \/>\n m \\, \\frac{v^2}{l \\, \\sin \\theta} &#038;=&#038; \\frac{m \\, g}{\\cos \\theta} \\, \\sin \\theta\\\\<br \/>\n v^2 &#038;=&#038; l \\, g \\, \\frac{\\sin^2 \\theta}{\\cos \\theta}\\\\<br \/>\n v &#038;=&#038; \\sin \\theta \\, \\sqrt{\\frac{l \\, g}{\\cos \\theta}}<br \/>\n\\end{eqnarray}\\)<\/ul>\n<p>\u8b1b\u7fa9\u3067\u306f\uff0c\u3053\u308c\u4ee5\u964d\u306e\u5468\u671f\u7b49\u306e\u8a08\u7b97\u306f\u30d1\u30b9\u3057\u3088\u3046\u3002<\/p>\n<p><strong>\u4f8b\u984c 4.3<\/strong><\/p>\n<p><span style=\"color: #000099;\">\u610f\u5916\u306a\u7cfb\u304c\u5358\u632f\u52d5\u3068\u306a\u308b\u4f8b\u3068\u3057\u3066\uff0c\u3053\u306e\u4f8b\u984c\u3092\u53d6\u308a\u3042\u3052\u305f\u3002\u3053\u306e\u4f8b\u984c\u3092\u73fe\u5b9f\u306b\u518d\u73fe\u3059\u308b\u3053\u3068\u306f\u53ef\u80fd\u3060\u308d\u3046\u304b\u3002\u632f\u52d5\u306e\u4e2d\u5fc3\u306f \\(\\displaystyle x = &#8211; \\frac{l \\, m}{4 \\, M}\\) \u3068\u306a\u308b\u3053\u3068\u3082\u8a71\u3057\u305f\u3002<\/span><\/p>\n<p><a href=\"http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2021\/06\/20210614a.png\"><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2021\/06\/20210614a-300x189.png\" alt=\"\" width=\"300\" height=\"189\" class=\"aligncenter size-medium wp-image-10554\" srcset=\"http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2021\/06\/20210614a-300x189.png 300w, http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2021\/06\/20210614a-1024x645.png 1024w, http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2021\/06\/20210614a-768x484.png 768w, http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2021\/06\/20210614a-600x378.png 600w, http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2021\/06\/20210614a.png 1148w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a><\/p>\n<p><strong>4\u7ae0 \u6f14\u7fd2\u554f\u984c [9]<\/strong><\/p>\n<p><span style=\"color: #000099;\">2025\u5e74\u5ea6, \u672c\u6765\u306a\u3089\u6f14\u7fd2\u554f\u984c[5]\u3092\u3084\u308b\u3079\u304d\u3068\u3053\u308d\u3060\u304c\u3001\u6642\u9593\u7684\u306b\u5165\u308a\u304d\u3089\u306a\u3044\u306e\u3067\u3001\u3053\u306e\u6f14\u7fd2\u554f\u984c\u3092\u5148\u306b\u3053\u3053\u3067\u3084\u308b\u3053\u3068\u306b\u3057\u305f\u3002<\/span><\/p>\n<p>3\u3064\u306e\u3070\u306d\u3067\u5e8a\u3068\u5929\u4e95\u306e\u9593\u306b\u7b49\u3057\u3044\u9593\u9694\u3067\u652f\u3048\u3089\u308c\u3066\u3044\u308b\u7269\u4f53\u304c\u3042\u308b\u3002\u3053\u306e\u632f\u52d5\u306e\u5468\u671f\u3092\u6c42\u3081\u308b\u554f\u984c\u3002<\/p>\n<p><a href=\"http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/06\/\u6f14\u7fd2\u554f\u984c\uff19.png\"><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/06\/\u6f14\u7fd2\u554f\u984c\uff19-300x188.png\" alt=\"\" width=\"300\" height=\"188\" class=\"aligncenter size-medium wp-image-8272\" srcset=\"http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/06\/\u6f14\u7fd2\u554f\u984c\uff19-300x188.png 300w, http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/06\/\u6f14\u7fd2\u554f\u984c\uff19-768x480.png 768w, http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/06\/\u6f14\u7fd2\u554f\u984c\uff19-1024x640.png 1024w, http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/06\/\u6f14\u7fd2\u554f\u984c\uff19-600x375.png 600w, http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/06\/\u6f14\u7fd2\u554f\u984c\uff19.png 1152w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a><\/p>\n<p>\u307e\u305a\uff0c\u6700\u521d\u306b\u3053\u306e\u3070\u306d\u306f\u4f38\u3073\u3066\u3044\u308b\u306e\u304b\u7e2e\u3093\u3067\u3044\u308b\u306e\u304b\u6c17\u306b\u306a\u308a\u307e\u3059\u3002\u3053\u308c\u306b\u95a2\u3057\u3066\u306f\uff0c\u91cd\u529b\u3092\u52a0\u3048\u305f\u529b\u306e\u91e3\u308a\u5408\u3044\u3092\u8003\u3048\u305f\u3068\u304d\uff0c\u81ea\u7136\u9577\u3088\u308a\u7e2e\u3093\u3067\u3044\u308b\u3053\u3068\u306f\u3042\u308a\u5f97\u306a\u3044\u3068\u898b\u3066\u53d6\u308c\u307e\u3059\u3002<\/p>\n<p>\u3000\u9577\u3055 \\(l\\) \u306e\u72b6\u614b\u306e\u3070\u306d\u306e\u529b\u3092 \\(F_0\\) \u3068\u3057\u3066\uff0c\u7269\u4f53\u3092\u4e0a\u65b9\u306b \\(\\Delta x\\) \u52d5\u304b\u3059\u3068\u3057\u307e\u3059\u3002\u3070\u306d\u306f \\(\\Delta x\\) \u7e2e\u3080\u3068\u304d\u529b\u304c \\(k \\, \\Delta x\\) \u6e1b\u5c11\u3057\uff0c\u4f38\u3073\u308b\u3068\u304d \\(k \\, \\Delta x\\) \u5897\u52a0\u3057\u307e\u3059\u3002<\/p>\n<p><a href=\"http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/06\/4\u7ae0\u6f14\u7fd2\u554f\u984c\uff19.png\"><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/06\/4\u7ae0\u6f14\u7fd2\u554f\u984c\uff19-300x188.png\" alt=\"\" width=\"300\" height=\"188\" class=\"aligncenter size-medium wp-image-8283\" srcset=\"http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/06\/4\u7ae0\u6f14\u7fd2\u554f\u984c\uff19-300x188.png 300w, http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/06\/4\u7ae0\u6f14\u7fd2\u554f\u984c\uff19-768x480.png 768w, http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/06\/4\u7ae0\u6f14\u7fd2\u554f\u984c\uff19-1024x640.png 1024w, http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/06\/4\u7ae0\u6f14\u7fd2\u554f\u984c\uff19-600x375.png 600w, http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/06\/4\u7ae0\u6f14\u7fd2\u554f\u984c\uff19.png 1152w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a><\/p>\n<p>\u3082\u3068\u3082\u3068\u91cd\u529b\u3092\u542b\u3081\u305f\u5408\u529b\u306f\u91e3\u308a\u5408\u3063\u3066\u3044\u305f\u306e\u3067\uff0c\u4e0a\u5411\u304d\u3092\u529b\u306e\u6b63\u65b9\u5411\u3068\u3057\u3066\u4e0b\u8a18\u304c\u6210\u308a\u7acb\u3063\u3066\u3044\u307e\u3057\u305f\u3002<\/p>\n<ul>\\(\\begin{eqnarray} \\displaystyle<br \/>\n\\mathrm{\u5408\u529b} &#038;=&#038; F_0 + F_0-F_0- m \\, g\\\\<br \/>\n              &#038;=&#038;  0<br \/>\n\\end{eqnarray}\\)<\/ul>\n<p>\u7269\u4f53\u3092\u4e0a\u65b9\u306b \\(\\Delta x\\) \u52d5\u304b\u3059\u3068\u304d\uff0c\u5408\u529b\u306f\u30bc\u30ed\u3067\u306f\u306a\u304f\u306a\u308a\u4e0b\u8a18\u306e\u3088\u3046\u306b\u4e0b\u5411\u304d\u306e\u529b\u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n<ul>\\(\\begin{eqnarray} \\displaystyle<br \/>\n\\mathrm{\u5408\u529b} &#038;=&#038; F_0-k \\, \\Delta x + F_0-k \\, \\Delta x-\\left(F_0 + k \\, \\Delta x \\right) &#8211; m \\, g\\\\<br \/>\n              &#038;=&#038;  &#8211; 3 \\, k \\, \\Delta x.<br \/>\n\\end{eqnarray}\\)<\/ul>\n<p>\u8ca0\u306e\u529b\u3067\u3059\u304b\u3089\uff0c\u7269\u4f53\u306e\u79fb\u52d5\u65b9\u5411\u3068\u306f\u53cd\u5bfe\u5411\u304d\u306e\u529b\u304c\u751f\u3058\u3066\u3044\u307e\u3059\u3002\u3053\u306e\u529b\u3092\u3072\u3068\u3064\u306e\u3070\u306d\u306e\u5fa9\u5143\u529b\u3060\u3068\u898b\u306a\u305b\u3070\u632f\u52d5\u306e\u5468\u671f\u304c\u5206\u304b\u308a\u307e\u3059\u3002<\/p>\n<p><strong><span style=\"color: #ff0000;\">10\u65e5\u76ee\u7d42\u4e86<\/span><\/strong><\/p>\n<p><span style=\"color: #000099;\"><\/span><\/p>\n<p><strong>4\u7ae0 \u6f14\u7fd2\u554f\u984c [5]<\/strong><\/p>\n<p>\u3000\u30b9\u30ab\u30a4\u30c0\u30a4\u30d0\u30fc\u306e\u843d\u4e0b\u904b\u52d5\u306e\u554f\u984c\u3002\u901f\u5ea6\u306e2\u4e57\u306b\u6bd4\u4f8b\u3059\u308b\u6163\u6027\u62b5\u6297\u3067\u3042\u308b\u3002\u5909\u6570\u5206\u96e2\u3092\u7528\u3044\u308b\u4f8b\u3068\u3057\u3066\u3084\u3063\u305f\u65b9\u304c\u826f\u3044\u3068\u601d\u3046\u3002\u904b\u52d5\u65b9\u7a0b\u5f0f\u306f\u4e0b\u8a18\u3068\u306a\u308b\u3002<\/p>\n<ul>\\(\\displaystyle<br \/>\nm \\frac{d v}{d t} = m \\, g- b \\, v^2 .<br \/>\n\\)<\/ul>\n<p>\u5148\u306b\uff0c\u6642\u523b\u7121\u9650\u5927\u3067\u306e\u7d42\u7aef\u901f\u5ea6\u3092\u5c0e\u3044\u3066\u304a\u304f\u3002\u901f\u5ea6\u304c\u5927\u304d\u304f\u306a\u308b\u306b\u3064\u308c\u3066\uff0c\u52a0\u901f\u5ea6\u304c\u5c0f\u3055\u304f\u306a\u308a\uff0c\u3060\u3093\u3060\u3093\u3068\u4e0b\u8a18\u306e\u901f\u5ea6\u306b\u8fd1\u3065\u3044\u3066\u3044\u304f\u3002<\/p>\n<ul>\\(\\displaystyle<br \/>\nv_{\\infty} = \\sqrt{\\frac{m \\, g}{b}}.<br \/>\n\\)<\/ul>\n<p>\u5f8c\u306f\uff0c\u5909\u6570\u5206\u96e2\u3067\u89e3\u304f\u306e\u307f\u3002<\/p>\n<ul>\\(\\displaystyle<br \/>\n\\frac{d v}{1-\\frac{b}{m \\, g} \\, v^2 } = g \\, d t.<br \/>\n\\)<\/ul>\n<p>\\(\\alpha = \\sqrt{\\frac{b}{m \\, g}}\\) \u3068\u3057\u3066\uff0c\u5de6\u8fba\u306e\u5206\u6bcd\u3092\u7a4d\u306e\u5f62\u306b\u3059\u308b\u3002<\/p>\n<ul>\\(\\begin{eqnarray} \\displaystyle<br \/>\n\\frac{1}{\\left(1-\\alpha \\, v \\right) \\left(1+\\alpha \\, v \\right)} \\, d v &#038;=&#038; g \\, d t\\\\<br \/>\n\\frac{1}{2} \\, \\left\\{ \\frac{1}{1-\\alpha \\, v } + \\frac{1}{1+\\alpha \\, v } \\right\\} \\, d v &#038;=&#038;  g \\, d t<br \/>\n\\end{eqnarray}\\)<\/ul>\n<p>\u5f8c\u306f\u7a4d\u5206\u3057\u3066\u4e0b\u8a18\u3092\u5f97\u308b\u3002<\/p>\n<ul>\\(\\displaystyle<br \/>\n\\frac{1}{2} \\, \\left\\{-\\frac{1}{\\alpha} \\, \\log \\left| 1-\\alpha \\, v \\right| +  \\frac{1}{\\alpha} \\, \\log \\left| 1 + \\alpha \\, v \\right| \\right\\} =  g \\, t + C<br \/>\n\\)<\/ul>\n<p>\u4e0a\u8a18\u3092\u5f0f\u5909\u5f62\u3057\u6642\u523b\u30bc\u30ed\u3067\u901f\u5ea6\u304c\u30bc\u30ed\u3068\u3044\u3046\u6761\u4ef6\u3092\u8003\u616e\u3057\u3066\uff0c\u4e0b\u8a18\u306e\u901f\u5ea6\u306e\u5f0f\u304c\u5f97\u3089\u308c\u308b\u3002<\/p>\n<ul>\\(\\displaystyle<br \/>\nv = v_{\\infty} \\, \\frac{1-\\exp \\left(\\frac{- 2 \\, g \\, t}{ v_{\\infty}} \\right)}{1+\\exp \\left(\\frac{- 2 \\, g \\, t}{ v_{\\infty}} \\right)}<br \/>\n\\)<\/ul>\n<p><span style=\"color: #ff0000;\"><strong>\uff16\u7ae0 \u30a8\u30cd\u30eb\u30ae\u30fc\u3068\u305d\u306e\u4fdd\u5b58\u5247<\/strong><\/span><\/p>\n<p><span style=\"color: #000099;\">\u3000\u30a8\u30cd\u30eb\u30ae\u30fc\u3068\u4ed5\u4e8b\u306e\u7ae0\u3002\u591a\u304f\u306e\u30c6\u30ad\u30b9\u30c8\u304c\u4ed5\u4e8b\u306e\u5b9a\u7fa9\u304b\u3089\u5165\u308b\u3002\u7269\u7406\u3067\u306f\u4ed5\u4e8b\u3068\u3044\u3046\u3082\u306e\u3092\u3053\u306e\u3088\u3046\u306b\u5b9a\u7fa9\u3059\u308b &#8230;.\u7b49\u306e\u8a18\u8ff0\u306e\u5f8c\uff0c\u5f0f\u8a08\u7b97\u304b\u3089\u4ed5\u4e8b\u3068\u904b\u52d5\u30a8\u30cd\u30eb\u30ae\u30fc\u306e\u95a2\u4fc2\u3092\u5c0e\u3044\u3066\u3044\u308b\u3002\u3053\u308c\u4ee5\u5916\u306e\u5165\u308a\u65b9\u306f\u306a\u3044\u3082\u306e\u304b\u3002<br \/>\n\u3000\u7ae0\u306e\u3069\u3053\u304b\u3067\uff0c\u4ed5\u4e8b\u3068\u306f\u30a8\u30cd\u30eb\u30ae\u30fc\u306e\u79fb\u52d5\u3067\u3042\u308b\u3053\u3068\u3092\u8ff0\u3079\u308b\u3088\u3046\u306b\u3059\u308b\u3002<\/span><\/p>\n<p>\u904b\u52d5\u3092\u3069\u306e\u3088\u3046\u306a\u91cf\u3067\u6e2c\u308b\u306e\u304b\u3068\u3044\u3046\u3053\u3068\u304c\uff0c\u4ee5\u524d\u8b70\u8ad6\u3055\u308c\u305f\u3053\u3068\u304c\u3042\u308a\u307e\u3057\u305f\u3002\\(m \\, v\\) \u3067\u8868\u3059\u3079\u304d\u3060\u3068\u3059\u308b\u30c7\u30ab\u30eb\u30c8\u6d3e\u3068\uff0c\\(m \\, v^2\\) \u3067\u8868\u3059\u3079\u304d\u3060\u3068\u3044\u3046\u30e9\u30a4\u30d7\u30cb\u30c3\u30c4\u6d3e\u304c\u6fc0\u3057\u304f\u8b70\u8ad6\u3092\u95d8\u308f\u305b\u307e\u3057\u305f\u3002\u30c7\u30ab\u30eb\u30c8\u6d3e\u306f\u885d\u7a81\u73fe\u8c61\u306a\u3069\u304b\u3089\uff0c\u4fdd\u5b58\u3055\u308c\u308b\u91cf\u3068\u3057\u3066\u306e \\(m \\, v\\) \u3092\u91cd\u8981\u306a\u91cf\u3060\u3068\u8003\u3048\u307e\u3057\u305f\u3002\u30e9\u30a4\u30d7\u30cb\u30c3\u30c4\u6d3e\u306f\u843d\u4e0b\u904b\u52d5\u3092\u6839\u62e0\u3068\u3057\u307e\u3059\u3002\u843d\u4e0b\u306f\u904b\u52d5\u3092\u751f\u307f\u51fa\u3059\u308f\u3051\u3060\u304b\u3089\uff0c\u904b\u52d5\u306f\u9ad8\u3055\u306b\u3088\u3063\u3066\u6e2c\u308b\u3053\u3068\u304c\u3067\u304d\u308b\u3068\u8003\u3048\u307e\u3057\u305f\u30024\u500d\u306e\u9ad8\u3055\u304b\u3089\u843d\u4e0b\u3059\u308b\u6642\uff0c\u5f97\u3089\u308c\u308b\u901f\u5ea6\u306f\u5143\u306e2\u500d\u306b\u904e\u304e\u307e\u305b\u3093\u3002\u305d\u308c\u6545\uff0c\u901f\u5ea6\u306e2\u4e57\u304c\u904b\u52d5\u3092\u6e2c\u308b\u91cf\u3068\u3057\u3066\u306f\u9069\u5f53\u3067\u3042\u308b\u3068\u4e3b\u5f35\u3057\u307e\u3059\u3002<\/p>\n<p>\u3053\u306e\u8b70\u8ad6\u306f\uff0c\u65b9\u3084\u904b\u52d5\u91cf\u4fdd\u5b58\u5247\uff0c\u65b9\u3084\u30a8\u30cd\u30eb\u30ae\u30fc\u4fdd\u5b58\u5247\u3068\u3044\u3046\u3053\u3068\u3067\uff0c\u3069\u3061\u3089\u304c\u9593\u9055\u3044\u3068\u3044\u3046\u3053\u3068\u3067\u306f\u306a\u304b\u3063\u305f\u308f\u3051\u3067\u3059\u304c\uff0c\u7d50\u5c40\u30c0\u30e9\u30f3\u30d9\u30fc\u30eb\u306b\u3088\u3063\u3066\u3053\u306e\u8b70\u8ad6\u306f\u6c7a\u7740\u3057\u307e\u3059\u3002\u79c1\u306b\u306f\u826f\u304f\u5206\u304b\u3063\u3066\u3044\u306a\u3044\u3068\u3053\u308d\u3082\u3042\u308b\u306e\u3067\u3059\u304c\uff0c\u66f8\u3044\u3066\u307f\u308b\u3068\uff0c4\u500d\u306e\u9ad8\u3055\u304b\u3089\u843d\u4e0b\u3059\u308b\u6642\uff0c\u843d\u4e0b\u306b\u304b\u304b\u308b\u6642\u9593\u306f\u5143\u306e\u6642\u9593\u306e2\u500d\u3067\u3059\u3002\u3064\u307e\u308a\u91cd\u529b\u304c\u7269\u4f53\u306b\u52a0\u308f\u3063\u3066\u3044\u308b\u6642\u9593\u306f2\u500d\u306e\u6642\u9593\u3067\u3059\u3002\u904b\u52d5\u3092\u529b\u304c\u52a0\u308f\u3063\u305f\u6642\u9593\u3067\u8a55\u4fa1\u3059\u308b\u3068\uff0c\u3053\u306e\u5834\u5408\u306f\u6295\u3052\u4e0a\u3052\u308b\u5834\u5408\u3092\u8003\u3048\u305f\u65b9\u304c\u5206\u304b\u308a\u3084\u3059\u3044\u3067\u3059\u304c\uff0c\u6295\u3052\u4e0a\u3052\u308b\u3068\u304d\u901f\u5ea6\u304c\u30bc\u30ed\u306b\u306a\u308b\u307e\u3067\u306b\u304b\u304b\u308b\u6642\u9593\u306f\uff0c\u521d\u901f\u30922\u500d\u306b\u3059\u308b\u30682\u500d\u306b\u306a\u308a\u307e\u3059\u3002\u91cd\u529b\u304c2\u500d\u306e\u6642\u9593\u52a0\u308f\u308b\u3053\u3068\u3067\u901f\u5ea6\u3092\u5b8c\u5168\u306b\u5931\u3044\u307e\u3059\u3002\u3064\u307e\u308a\u904b\u52d5\u3092\u529b\u304c\u52a0\u308f\u3063\u305f\u6642\u9593\u3067\u8a55\u4fa1\u3059\u308b\u3068\uff0c\u901f\u5ea6\u304c2\u500d\u3067\u3042\u308b\u306a\u3089\u201c\u904b\u52d5\u306e\u91cf\u201d\u306f2\u500d\u3068\u306a\u308a\u307e\u3059\u3002\u3053\u308c\u3092\u529b\u304c\u52a0\u308f\u3063\u305f\u8ddd\u96e2\u3067\u8a55\u4fa1\u3059\u308b\u3068\uff0c\u521d\u901f\u304c2\u500d\u306a\u3089\u7269\u4f53\u306f\u5143\u306e4\u500d\u306e\u9ad8\u3055\u307e\u3067\u4e0a\u6607\u3059\u308b\u308f\u3051\u3067\u3059\u304b\u3089\uff0c\u201c\u904b\u52d5\u306e\u91cf\u201d\u306f4\u500d\u306b\u306a\u308a\u307e\u3059\u3002\u3053\u306e\u3088\u3046\u306b\uff0c\u529b\u3092\u52a0\u3048\u305f\u6642\u9593\u3067\u8a55\u4fa1\u3059\u308b\u304b\uff0c\u52a0\u3048\u305f\u8ddd\u96e2\u3067\u8a55\u4fa1\u3059\u308b\u304b\u306b\u3088\u308b\u9055\u3044\u3067\u3042\u308b\u3068\u30c0\u30e9\u30f3\u30d9\u30fc\u30eb\u306f\u7d50\u8ad6\u3057\u307e\u3059\u3002<\/p>\n<p>\u529b\u3092\u52a0\u3048\u305f\u6642\u9593\u306b\u5fdc\u3058\u305f\u904b\u52d5\u306e\u5909\u5316\u3068\u306f\uff0c\u529b\u7a4d\u306b\u5bfe\u5fdc\u3057\u305f\u73fe\u5728\u306e\u610f\u5473\u306e\u201c\u904b\u52d5\u91cf\u201d\u306e\u5909\u5316\u306e\u8a71\u3067\u3059\u304c\uff0c\u4e0b\u8a18\u306e\u3088\u3046\u306a\u7a4d\u5206\u8a08\u7b97\u3067\u793a\u3055\u308c\u307e\u3059\u3002<\/p>\n<ul>\\(\\begin{eqnarray} \\displaystyle<br \/>\n\\int_{t_1}^{t_2} m \\, \\frac{d v}{d t} dt &#038;=&#038; \\int_{t_1}^{t_2} F dt\\\\<br \/>\nm \\, v_2- m \\, v_1 &#038;=&#038;  \\int_{t_1}^{t_2} F dt.<br \/>\n\\end{eqnarray}\\)<\/ul>\n<p>\u529b\u3092\u52a0\u3048\u305f\uff08\u529b\u304c\u4f5c\u7528\u3057\u305f\uff09\u8ddd\u96e2\u306b\u3088\u308b\u904b\u52d5\u306e\u5909\u5316\u3068\u306f\uff0c \\(m \\, \\frac{d v}{d t} = F\\) \u3092\u5ea7\u6a19\u3067\u7a4d\u5206\u3059\u308b\u3053\u3068\u306b\u306a\u308a\u305d\u3046\u3067\uff0c\u305d\u306e\u53f3\u8fba\u306f\u4e0b\u8a18\u306e\u3088\u3046\u306a\u5f0f\u3068\u306a\u3063\u3066\uff0c<\/p>\n<ul>\\(\\displaystyle<br \/>\n\\int F d x<br \/>\n\\)<\/ul>\n<p>\u3053\u308c\u306f\u4ed5\u4e8b\u3068\u3044\u308f\u308c\u308b\u91cf\u3067\u3059\u3002\u904b\u52d5\u65b9\u7a0b\u5f0f\u306e\u5de6\u8fba\u306e\u7a4d\u5206\u306f\uff0c\u7d50\u5c40\u904b\u52d5\u30a8\u30cd\u30eb\u30ae\u30fc\u3068\u306a\u308b\u308f\u3051\u3067\u3059\u304c\uff0c\u305d\u306e\u8fba\u306e\u8a71\u306f\u3053\u306e\u7ae0\u306e(6.5)\u3067\u3084\u308a\u307e\u3059\u3002<\/p>\n<p><strong>6.1 \u4ed5\u4e8b<\/strong><\/p>\n<p><span style=\"color: #000099;\">\u529b\u304c\u4f5c\u7528\u3057\u305f\u8ddd\u96e2\u3067\u8003\u3048\u308b\u3068\u306f\u3069\u3046\u3044\u3046\u3053\u3068\u304b\u8272\u3005\u3068\u8a08\u7b97\u3057\u3066\u307f\u308b\u3068\u3044\u3046\u6d41\u308c\u3002\u306a\u305c\u3053\u306e\u3088\u3046\u306a\u3053\u3068\u3092\u3059\u308b\u306e\u304b\u3068\u3044\u3046\u843d\u3061\u306f\u3057\u3070\u3089\u304f\u3064\u304b\u306a\u3044\u3002\u7d50\u5c40\u306f\u30a8\u30cd\u30eb\u30ae\u30fc\u4fdd\u5b58\u5247\u306b\u305f\u3069\u308a\u7740\u304f\u308f\u3051\u3067\u3042\u308b\u304c\uff0c\u5927\u5b66\u3067\u306f\u89e3\u6790\u7684\u306a\u5f0f\u306e\u53d6\u308a\u6271\u3044\u3092\u3059\u308b\u306e\u3067\uff0c\u904b\u52d5\u65b9\u7a0b\u5f0f\u3068\u529b\u5b66\u7684\u30a8\u30cd\u30eb\u30ae\u30fc\u4fdd\u5b58\u5247\u306e\u95a2\u4fc2\u304c\u660e\u78ba\u3068\u306a\u308b\u3002\u3053\u308c\u304c\u9ad8\u6821\u3067\u306e\u5b66\u7fd2\u3068\u306e\u9055\u3044\u3060\u3068\u601d\u3046\u3002<br \/>\n<\/span><\/p>\n<p>\u3000\u4ee5\u4e0b\uff0c\u4e2d\u5b66\uff0c\u9ad8\u6821\u3067\u65e2\u306b\u4ed5\u4e8b\u3068\u3044\u3046\u6982\u5ff5\u3092\u5b66\u7fd2\u6e08\u307f\u3067\u3042\u308b\u3068\u3044\u3046\u3053\u3068\u304c\u524d\u63d0\u306b\u306a\u3063\u3066\u3044\u308b\u8aac\u660e\u3002\u3082\u3063\u3068\u6839\u672c\u304b\u3089\u306e\u8a71\u3092\u3084\u308a\u305f\u3044\u3068\u3053\u308d\u3002\u305f\u3076\u3093\uff0c\u6559\u308f\u308b\u3082\u306e\u3068\u3057\u3066\u306e\u5b66\u554f\u306a\u3089\uff0c\u7269\u7406\u3067\u306f\u4ed5\u4e8b\u3068\u3044\u3046\u3082\u306e\u3092\u3053\u306e\u3088\u3046\u306b\u5b9a\u7fa9\u3057\u307e\u3059\uff0c\u3068\u3044\u3046\u5165\u308a\u3067\u3082\u3044\u3044\u306e\u3060\u308d\u3046\u304c\uff0c\u901a\u5e38\u3067\u3042\u308c\u3070\uff0c\u5b9a\u7fa9\u3059\u308b\u306a\u3089\u306a\u305c\u305d\u308c\u304c\u5fc5\u8981\u306a\u306e\u304b\u3068\u3044\u3046\u3068\u3053\u308d\u304b\u3089\u8a71\u304c\u59cb\u307e\u308b\u306e\u3067\u306f\u306a\u3044\u304b\u3002<\/p>\n<p>\u3000\u4ee5\u4e0b\uff0c\u4ed5\u4e8b\u306e\u4f8b\u3092\u3042\u3052\u3066\uff0c\u305d\u306e\u5b9a\u7fa9\u306e\u5fa9\u7fd2\u3092\u3084\u3063\u3066\u3044\u304d\u307e\u3059\u3002<\/p>\n<p><a href=\"http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/06\/\u7121\u984c6.png\"><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/06\/\u7121\u984c6-300x188.png\" alt=\"\" width=\"300\" height=\"188\" class=\"aligncenter size-medium wp-image-8337\" srcset=\"http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/06\/\u7121\u984c6-300x188.png 300w, http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/06\/\u7121\u984c6-768x480.png 768w, http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/06\/\u7121\u984c6-1024x640.png 1024w, http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/06\/\u7121\u984c6-600x375.png 600w, http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/06\/\u7121\u984c6.png 1152w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a><\/p>\n<p>\u3000\u529b\u3068\u4f5c\u7528\u3057\u305f\u8ddd\u96e2\u306e\u7a4d\u306f\uff0c\u6ed1\u8eca\u306e\u8a71\u3067\u51fa\u3066\u304d\u307e\u3059\u3002\u4e0a\u56f3\u306e\u3088\u3046\u306b\u6ed1\u8eca\u3092\u7d44\u307f\u5408\u308f\u305b\u308b\u3068\uff0c\u6301\u3061\u4e0a\u3052\u308b\u529b\u306f\u534a\u5206\u306b\u306a\u308a\u307e\u3059\u304c\u3072\u3082\u3092\u5f15\u304f\u8ddd\u96e2\u306f\u500d\u306b\u306a\u308a\u307e\u3059\u3002\u305d\u308c\u3067\u306f\u697d\u306b\u306a\u3063\u305f\u3068\u306f\u8a00\u3048\u306a\u3044\u3002\u300e\u30de\u30c3\u30cf\u529b\u5b66\u300f\uff08p45\uff09\u3067\u306f\uff0c\u3053\u306e\u3053\u3068\u3092\uff0c\u6a5f\u68b0\u3092\u4f7f\u3063\u3066\u4ed5\u4e8b\u3092\u7bc0\u7d04\u3059\u308b\u3053\u3068\u306f\u3067\u304d\u306a\u3044\u3068\u8868\u73fe\u3057\u3066\u3044\u3066\uff0c\u529b\u3068\u8ddd\u96e2\u306e\u7a4d\u304c\u91cd\u8981\u3067\u3042\u308b\u3053\u3068\u304c\uff0c\u3053\u306e\u3088\u3046\u306a\u73fe\u8c61\u304b\u3089\u7406\u89e3\u3055\u308c\u3066\u6765\u305f\u306e\u3060\u3068\u601d\u3044\u307e\u3059\u3002\u8b1b\u7fa9\u3067\u306f\uff0c\u7a4d\u304c\u91cd\u8981\u306a\u306e\u3060\u304b\u3089\uff0c\u7a4d\u306e\u5024\u304c\u540c\u3058\u3067\u3042\u308b\u3053\u3068\u306b\u610f\u5473\u304c\u3042\u308b\uff08\u4f55\u3089\u304b\u306e\u7b49\u4fa1\u6027\u3092\u793a\u3057\u3066\u3044\u308b\uff09\u3068\u3044\u3046\u70b9\u3092\u5354\u8abf\u3059\u3079\u304d\u3068\u601d\u3046\u3002<\/p>\n<p>\u3000\u3082\u3046\u4e00\u3064\u306e\u4f8b\u3092\u3042\u3052\u307e\u3059\u3002\u521d\u671f\u306e\u84b8\u6c17\u30a8\u30f3\u30b8\u30f3\u306e\u6027\u80fd\u3092\u793a\u3059\u306e\u306b\uff0c\u6642\u9593\u3042\u305f\u308a\u3069\u308c\u3050\u3089\u3044\u306e\u6c34\u3092\u6c72\u307f\u4e0a\u3052\u308b\u306e\u304b\u3068\u3044\u3046\u6307\u6a19\u304c\u3042\u308a\u307e\u3057\u305f\u30021 \u5206\u9593\u3067 33000 \u30dd\u30f3\u30c9\u30921 \u30d5\u30a3\u30fc\u30c8\u6301\u3061\u4e0a\u3052\u308b\u3068\u304b\u3067\u3059\uff081 \u99ac\u529b\uff09\u3002\u6642\u9593\u3042\u305f\u308a\u306a\u306e\u3067\u4ed5\u4e8b\u7387\u306b\u76f8\u5f53\u3059\u308b\u3082\u306e\u3067\u3059\u304c\uff0c1 \u5206\u9593\u3068\u3044\u3046\u67a0\u3092\u306f\u305a\u305b\u3070\uff0c\u7269\u7406\u306e\u4e2d\u3067\u306e\u4ed5\u4e8b\u306e\u6982\u5ff5\u3068\u3074\u3063\u305f\u308a\u3067\u3059\u3002<\/p>\n<p>\u3000\u3053\u306e\u7ae0\u3067\u306f\u30a8\u30cd\u30eb\u30ae\u30fc\u3068\u3044\u3046\u6982\u5ff5\u3082\u51fa\u3066\u304f\u308b\u306e\u3067\u3059\u304c\uff0c\u30a8\u30cd\u30eb\u30ae\u30fc\u3068\u3044\u3046\u8a00\u8449\u306f\uff0c\u84b8\u6c17\u30a8\u30f3\u30b8\u30f3\u304c\u767b\u5834\u3057\u3066\u5f8c\u306e\u8a00\u8449\u3067\u3059\u3002\u3082\u3061\u308d\u3093 \\(m \\, v^2\\) \u304c\u904b\u52d5\u3092\u8868\u3059\u4e0a\u3067\u91cd\u8981\u3067\u3042\u308b\u3053\u3068\u306f\uff0c\u30c7\u30ab\u30eb\u30c8\u3084\u30e9\u30a4\u30d7\u30cb\u30c3\u30c4\u306e\u9803\u304b\u3089\u610f\u8b58\u3055\u308c\u3066\u3044\u307e\u3057\u305f\u3002\u305f\u3060\u3042\u3066\u306f\u307e\u308b\u540d\u79f0\u304c\u7121\u304b\u3063\u305f\u3068\u3044\u3046\u3053\u3068\u306f\uff0c\u52d5\u529b\u3092\u4f5c\u308a\u51fa\u3059\u30a8\u30f3\u30b8\u30f3\u304c\u767b\u5834\u3059\u308b\u307e\u3067\uff0c\u305d\u306e\u610f\u8b58\u306f\u529b\u5b66\u306e\u4e2d\u306b\u3068\u3069\u307e\u3063\u3066\u3044\u305f\u3068\u3044\u3046\u3053\u3068\u304b\u3068\u601d\u3044\u307e\u3059\u3002<\/p>\n<p><a href=\"http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/06\/20190618a.png\"><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/06\/20190618a-300x188.png\" alt=\"\" width=\"300\" height=\"188\" class=\"aligncenter size-medium wp-image-8293\" srcset=\"http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/06\/20190618a-300x188.png 300w, http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/06\/20190618a-768x480.png 768w, http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/06\/20190618a-1024x640.png 1024w, http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/06\/20190618a-600x375.png 600w, http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/06\/20190618a.png 1152w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a><\/p>\n<p>\u3000\u6559\u79d1\u66f8\u306e\u89e3\u8aac\u306f\uff0c\u4f55\u304b\u306e\u529b\u306b\u9006\u3089\u3063\u3066\u7269\u4f53\u3092\u79fb\u52d5\u3055\u305b\u308b\u3068\u3044\u3046\u8a71\u3067\u306f\u306a\u3044\u306e\u3067\u3059\u304c\uff0c\u4ee5\u4e0b\u3067\u306f\u91cd\u529b\u306b\u9006\u3089\u3063\u3066\u6c34\u3092\u6c72\u307f\u4e0a\u3052\u308b\u3068\u3044\u3046\u3053\u3068\u3092\u4f8b\u3068\u3057\u3066\uff0c\u4ed5\u4e8b\u306b\u3064\u3044\u3066\u8003\u3048\u3066\u307f\u307e\u3057\u3087\u3046\u3002\u56f3\u306e\u3088\u3046\u306b\uff08\u6c34\u3092\u5358\u7d14\u306a\u4e38\u3044\u7269\u4f53\u3068\u3057\u3066\u66f8\u304d\u307e\u3057\u305f\uff09\uff0c\u91cd\u529b\u306b\u9006\u3089\u3063\u3066\u6301\u3061\u4e0a\u3052\u308b\u306a\u3089\uff0c\u5fc5\u8981\u306a\u529b\u306f\u91cd\u529b\u3068\u540c\u3058\u5927\u304d\u3055\u3067\u53cd\u5bfe\u5411\u304d\u3068\u306a\u308a\u307e\u3059\u3002\u305d\u308c\u3067\u5341\u5206\u3067\u3059\u3002\u5f8c\u306f\u5b9a\u901f\u3067\u3086\u3063\u304f\u308a\u3068\u79fb\u52d5\u3059\u308b\u3068\u8003\u3048\u307e\u3059\u3002\u3064\u307e\u308a\u529b\u304c\u91e3\u308a\u5408\u3063\u3066\u3044\u308b\u72b6\u614b\u3067\u6301\u3061\u4e0a\u3052\u307e\u3059\u3002<\/p>\n<p><a href=\"http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/06\/20160618b.png\"><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/06\/20160618b-300x188.png\" alt=\"\" width=\"300\" height=\"188\" class=\"aligncenter size-medium wp-image-8295\" srcset=\"http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/06\/20160618b-300x188.png 300w, http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/06\/20160618b-768x480.png 768w, http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/06\/20160618b-1024x640.png 1024w, http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/06\/20160618b-600x375.png 600w, http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/06\/20160618b.png 1152w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a><\/p>\n<p>\u79fb\u52d5\u3059\u308b\u65b9\u5411\u306f\u91cd\u8981\u3067\u3059\u3002\u529b\u304c\u91e3\u308a\u5408\u3063\u3066\u3044\u308b\u306e\u3067\u81ea\u7531\u306b\u3069\u306e\u65b9\u5411\u306b\u3082\u79fb\u52d5\u3067\u304d\u307e\u3059\u3002\u3057\u304b\u3057\u6c34\u5e73\u306b\u79fb\u52d5\u3057\u3066\u3082\u6c34\u3092\u6c72\u307f\u4e0a\u3052\u305f\u3053\u3068\u306b\u306f\u306a\u308a\u307e\u305b\u3093\u3002\u91cd\u529b\u3068\u9006\u306e\u65b9\u5411\u306b\u79fb\u52d5\u3057\u305f\u8ddd\u96e2\u304c\u91cd\u8981\u3067\u3059\u3002\u56f3\u306b\u793a\u3059\u3088\u3046\u306b \\(l\\) \u79fb\u52d5\u3057\u305f\u3068\u3057\u3066\u3082\u91cd\u529b\u3068\u9006\u65b9\u5411\u306b\u79fb\u52d5\u3057\u305f\u8ddd\u96e2 \\(l \\, \\cos \\theta\\) \u304c\u6709\u52b9\u306a\u4ed5\u4e8b\uff08\u6301\u3061\u4e0a\u3052\u305f\u9ad8\u3055\uff09\u3067\u3059\u3002\u3053\u308c\u304c\u8ddd\u96e2\u306b \\(\\cos \\theta\\) \u3092\u304b\u3051\u308b\u7406\u7531\u3067\u3059\u3002\u3053\u306e\u4ed5\u4e8b\u306f \\(F \\, l \\, \\cos \\theta\\) \u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\u3000\u91e3\u308a\u5408\u3044\u306e\u72b6\u614b\u610f\u5916\u3067\u79fb\u52d5\u3055\u305b\u308b\u3053\u3068\u3082\u8003\u3048\u3089\u308c\u307e\u3059\u304c\uff0c\u305d\u306e\u6642\u306f\u7269\u4f53\u306b\u904b\u52d5\u30a8\u30cd\u30eb\u30ae\u30fc\u306e\u5897\u52a0\u3082\u3082\u305f\u3089\u3057\u307e\u3059\u3002<\/p>\n<p>\u5148\u307b\u3069\u306e\u4ed5\u4e8b \\(F \\, l \\, \\cos \\theta\\) \u306f\uff0c\u30d9\u30af\u30c8\u30eb\u306e\u5185\u7a4d\u3092\u4f7f\u3063\u3066\u8868\u305b\u307e\u3059\u3002\u79fb\u52d5\u3092 \\(\\vec{l}\\) \u3068\u3057\u3066\uff0c\u4ed5\u4e8b\u306f<\/p>\n<ul>\\(\\begin{eqnarray} \\displaystyle<br \/>\n\\mathrm{\u4ed5\u4e8b} &#038;=&#038; F \\, l \\, \\cos \\theta\\\\<br \/>\n  \u3000\u3000\u3000\u3000\u3000\u3000&#038;=&#038; \\vec{F} \\cdot \\vec{l}<br \/>\n\\end{eqnarray}\\)<\/ul>\n<p>\u4ed5\u4e8b\u306e\u5b9a\u7fa9\u306e\u5fa9\u7fd2\u306f\u3053\u3053\u3067\u7d42\u308f\u308a\u3002<\/p>\n<p>\u3000<span style=\"color: #ff0000;\">\u3053\u306e\u3042\u305f\u308a\u306711\u65e5\u76ee\u306e\u7d42\u308f\u308a\u3002<\/span><\/p>\n<p><span style=\"color: #0000ff;\">\u5909\u5316\u3059\u308b\u529b\u306b\u3088\u308b\u4ed5\u4e8b\uff0d\u3070\u306d\u3092\u5f15\u304d\u4f38\u3070\u3059\u305f\u3081\u306e\u4ed5\u4e8b<\/span><\/p>\n<p><span style=\"color: #000099;\">\u4e00\u5b9a\u306e\u529b\u3067\u306f\u306a\u304f\u5f37\u3055\u304c\u5909\u5316\u3059\u308b\u5834\u5408\u306e\u4ed5\u4e8b\u306e\u6c42\u3081\u65b9\u3002\u3070\u306d\u3092\u4f8b\u3068\u3057\u3066\u53d6\u308a\u4e0a\u3052\u308b\u3002\u7d50\u679c\u3092\u5b66\u751f\u306f\u77e5\u3063\u3066\u3044\u308b\u3060\u3051\u306b\u8208\u5473\u3092\u6301\u305f\u305b\u308b\u3053\u3068\u304c\u96e3\u3057\u304f\u601d\u3048\u308b\u3002\u4e07\u6709\u5f15\u529b\u3082\u540c\u3058\u304f\u7a4d\u5206\u306b\u306a\u308b\u3053\u3068\u3092\u8a71\u3057\u305f\u3089\u3069\u3046\u304b\uff1f<\/span><\/p>\n<p><a href=\"http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/06\/20190628a.png\"><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/06\/20190628a-300x144.png\" alt=\"\" width=\"300\" height=\"144\" class=\"aligncenter size-medium wp-image-8357\" srcset=\"http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/06\/20190628a-300x144.png 300w, http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/06\/20190628a-600x288.png 600w, http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/06\/20190628a.png 625w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a><\/p>\n<p>\u529b\uff0d\u5909\u4f4d\u306e\u30b0\u30e9\u30d5\u3092\u793a\u3057\uff0c\u5fae\u5c0f\u5909\u4f4d \\(\\Delta x\\) \u4f38\u3070\u3057\u305f\u5834\u5408\u306e\u4ed5\u4e8b \\(\\Delta W_i\\) <\/p>\n<ul>\\(\\displaystyle<br \/>\n\\Delta W_i = F_i \\, \\Delta x<br \/>\n\\)<\/ul>\n<p>\u4e0a\u8a18\u306f\u4e0b\u306e\u30b0\u30e9\u30d5\u306e\u77ed\u518a\u306e\u9762\u7a4d\u306b\u76f8\u5f53\u3059\u308b\u3002<\/p>\n<p><a href=\"http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/06\/20190628b.png\"><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/06\/20190628b-300x188.png\" alt=\"\" width=\"300\" height=\"188\" class=\"aligncenter size-medium wp-image-8360\" srcset=\"http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/06\/20190628b-300x188.png 300w, http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/06\/20190628b-768x480.png 768w, http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/06\/20190628b-1024x640.png 1024w, http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/06\/20190628b-600x375.png 600w, http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/06\/20190628b.png 1152w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a><\/p>\n<p>\u305d\u306e\u305f\u3081\uff0c\u81ea\u7136\u9577\u304b\u3089 \\(x\\) \u307e\u3067\u3070\u306d\u3092\u4f38\u3070\u3059\u3068\u304d\u306b \\(F\\) \u304c\u3059\u308b\u4ed5\u4e8b \\(W\\) \u306f<\/p>\n<ul>\\(\\begin{eqnarray} \\displaystyle<br \/>\nW &#038;=&#038; \\sum_{i} F_i \\, \\Delta x\\\\<br \/>\nW &#038;=&#038; \\sum_{i} k \\, x_i \\, \\Delta x<br \/>\n\\end{eqnarray}\\)<\/ul>\n<p> \\(\\Delta x\\) \u3092\u5c0f\u3055\u304f\u3059\u308b\u3053\u3068\u3067\uff0c\u4e0a\u8a18\u306e\u548c\u3092\u7a4d\u5206\u306b\u7f6e\u304d\u63db\u3048\u308b\u3002<\/p>\n<ul>\\(\\begin{eqnarray} \\displaystyle<br \/>\nW &#038;=&#038; \\int_{0}^{x} k \\, x&#8217; \\, dx&#8217;\\\\<br \/>\nW &#038;=&#038; \\frac{1}{2} k \\, x^2<br \/>\n\\end{eqnarray}\\)<\/ul>\n<p>\u7d50\u5c40\uff0c\u529b\uff0d\u5909\u4f4d\u306e\u30b0\u30e9\u30d5\u306e\u9762\u7a4d\u3092\u6c42\u3081\u305f\u3053\u3068\u306b\u306a\u308b\u3002\u524d\u63d0\u3068\u306a\u3063\u3066\u3044\u308b\u306e\u306f\uff0c\u4ed5\u4e8b\u306f\u8db3\u3057\u7b97\u304c\u53ef\u80fd\u306a\u3082\u306e\u3067\u3042\u308b\u3068\u3044\u3046\u70b9\u3067\u3042\u308b\u3002\u30d9\u30af\u30c8\u30eb\u7684\u3067\u306f\u306a\u304f\u30b9\u30ab\u30e9\u30fc\u7684\u306a\u8db3\u3057\u7b97\u3067\u3042\u308b\u3002\u6b21\u306e\u300c6.2 \u4ed5\u4e8b\u306e\u4e00\u822c\u7684\u5b9a\u7fa9\u300d\u3067\u4ed5\u4e8b\u306e\u8a08\u7b97\u306b\u7dda\u7a4d\u5206\u3092\u4f7f\u3046\u306e\u3067\uff0c\u305d\u306e\u6642\u3082\u4ed5\u4e8b\u306e\u8db3\u3057\u7b97\u3092\u8003\u3048\u308b\u3053\u3068\u306b\u306a\u308b\u3002<\/p>\n<p><strong>6.2 \u4ed5\u4e8b\u306e\u4e00\u822c\u7684\u5b9a\u7fa9<\/strong><\/p>\n<p><span style=\"color: #000099;\">\u3000\u4ed5\u4e8b\u306e\u8a08\u7b97\u3092\u76f4\u7dda\u4e0a\u3060\u3051\u3067\u306a\u304f\uff0c\u305d\u308c\u4ee5\u5916\u306e\u81ea\u7531\u306a\u66f2\u7dda\u4e0a\u306e\u7d4c\u8def\u3067\u8003\u3048\u308b\u3002\u307e\u305a\u79fb\u52d5\u7d4c\u8def\u3092\u5fae\u5c0f\u306a\u90e8\u5206\u306b\u5206\u5272\u3059\u308b\u3002\u305d\u306e\u5c0f\u3055\u306a\u533a\u9593\u3067\u306e\u4ed5\u4e8b\u306f\u5b9a\u7fa9\u6e08\u307f\u3067\u3042\u308b\u304c\u3001\u305d\u306e\u548c\u3092\u6c42\u3081\u3066\u5168\u884c\u7a0b\u306e\u4ed5\u4e8b\u3068\u3059\u308b\u3002\u8a08\u7b97\u3059\u308b\u304b\u3089\u306b\u306f\u305d\u306e\u5024\u306b\u4f55\u3089\u304b\u306e\u610f\u5473\u304c\u3042\u308b\u306f\u305a\u3067\u3042\u308b\u304c\u3001\u307e\u3060\u4ed5\u4e8b\u3068\u30a8\u30cd\u30eb\u30ae\u30fc\u306e\u95a2\u9023\u306f\u6559\u79d1\u66f8\u3067\u306f\u51fa\u3066\u304d\u3066\u3044\u306a\u3044\u3002<\/span><\/p>\n<p><span style=\"color: #000099;\">\u3000\u6559\u79d1\u66f8\u3067\u306f\u4e00\u822c\u7684\u306a\u8a71\u3068\u3057\u3066\uff0c\u4efb\u610f\u306e\u66f2\u7dda\u306b\u6cbf\u3063\u3066\u79fb\u52d5\u3059\u308b\u5834\u5408\u306e\u4ed5\u4e8b\u306e\u5b9a\u7fa9\u3092\u4e0e\u3048\u3066\u3044\u308b\u3002\u3068\u308a\u3042\u3048\u305a\u6700\u521d\u306f\u6559\u79d1\u66f8\u306e\u5165\u308a\u3092\u8aad\u3093\u3067\u8a08\u7b97\u65b9\u6cd5\u306e\u5927\u307e\u304b\u306a\u3068\u3053\u308d\u3092\u307f\u305f\u5f8c\uff0c\u5177\u4f53\u7684\u306b\u4e07\u6709\u5f15\u529b\u306e\u3082\u3068\u3067\u306e\u79fb\u52d5\u306e\u8a71\u3068\u3057\u3066\u8aac\u660e\u3057\u3066\u307f\u305f\u3002\u305d\u3053\u306b\u9055\u3044\u306f\u306a\u3044\u306e\u304b\u3082\u3057\u308c\u306a\u3044\u304c\uff0c\u5177\u4f53\u7684\u306a\u8a71\u306e\u65b9\u304c\u53d6\u308a\u6271\u308f\u306a\u3051\u308c\u3070\u306a\u3089\u306a\u3044\u5fc5\u7136\u6027\u306f\u3042\u308b\u3088\u3046\u306b\u5b66\u751f\u306f\u611f\u3058\u308b\u306e\u3067\u306f\u306a\u3044\u304b\u3002<\/span><\/p>\n<p><a href=\"http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/07\/20190629a.png\"><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/07\/20190629a-300x191.png\" alt=\"\" width=\"300\" height=\"191\" class=\"aligncenter size-medium wp-image-8370\" srcset=\"http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/07\/20190629a-300x191.png 300w, http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/07\/20190629a-600x382.png 600w, http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/07\/20190629a.png 628w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a><\/p>\n<p>\u592a\u967d\uff08S\uff09\u306e\u5f15\u529b\u306b\u9006\u3089\u3063\u3066\u5730\u7403\uff08e\uff09\u304b\u3089\u706b\u661f\uff08M\uff09\u307e\u3067\u79fb\u52d5\u3059\u308b\u3002\u4e0a\u56f3\u306e \\(\\Delta r\\) \u79fb\u52d5\u3059\u308b\u3068\u304d\u306e\u4ed5\u4e8b\u306f\uff0c\u5f15\u529b\uff08\u8d64\uff09\u3068\u53cd\u5bfe\u5411\u304d\u3067\u540c\u3058\u5927\u304d\u3055\u306e\u529b\u3092 \\(\\vec{F}\\) \u3068\u3057\u3066<\/p>\n<ul>\\(\\displaystyle<br \/>\n\\Delta W_i = \\vec{F}(\\vec{r}_i) \\cdot \\Delta \\vec{r}_i<br \/>\n\\)<\/ul>\n<p>\u5168\u4f53\u306e\u4ed5\u4e8b \\(W\\) \u306f<\/p>\n<ul>\\(\\begin{eqnarray} \\displaystyle<br \/>\nW &#038;=&#038; \\sum_i \\Delta W_i\\\\<br \/>\n  &#038;=&#038; \\sum_i \\vec{F}(\\vec{r}_i) \\cdot \\Delta \\vec{r}_i<br \/>\n\\end{eqnarray}\\)<\/ul>\n<p> \\(\\Delta r_i\\) \u3092\u5c0f\u3055\u304f\u3057\u3066<\/p>\n<ul>\\(\\displaystyle<br \/>\nW = \\int_{\\mathrm{\u5730\u7403}}^{\\mathrm{\u706b\u661f}} \\vec{F}(\\vec{r}) \\cdot d \\vec{r}<br \/>\n\\)<\/ul>\n<p>\u5b66\u751f\u306f\u307e\u3060\u7dda\u7a4d\u5206\u3092\u7fd2\u3063\u3066\u3044\u306a\u3044\u306e\u3067\uff0c\u7a4d\u5206\u3092\u6210\u5206\u3054\u3068\u306e\u8a08\u7b97\u306b\u5206\u3051\u308b\u3002<\/p>\n<ul>\\(\\displaystyle<br \/>\nW = \\int F_x \\, d x + \\int F_y \\, d y + \\int F_z \\, d z<br \/>\n\\)<\/ul>\n<p>\u4e0a\u8a18\u306a\u3089\u8a08\u7b97\u3067\u304d\u308b\u3002\u3053\u306e\u5206\u3051\u305f\u7a4d\u5206\u306e\u8a08\u7b97\u304c\u6b21\u306e\u300c\u91cd\u529b\u304c\u3059\u308b\u4ed5\u4e8b\u300d\u306b\u3064\u306a\u304c\u308b\u3002<\/p>\n<p><span style=\"color: #0000ff;\">\u91cd\u529b\u304c\u3059\u308b\u4ed5\u4e8b<\/span><\/p>\n<p>\u3000\u3053\u3053\u306f\u6559\u79d1\u66f8\u306e\u8a18\u8ff0\u3068\u307b\u307c\u540c\u3088\u3046\u306b\u8a71\u3059\u3002\u30b9\u30ad\u30fc\u30e4\u30fc\u304c\u96ea\u306e\u659c\u9762\u3092\u9ad8\u3055 \\(h\\) \u6ed1\u308a\u964d\u308a\u308b\u3068\u304d\u306b\u91cd\u529b\u304c\u3059\u308b\u4ed5\u4e8b\u3092\u6c42\u3081\u308b\u8a71\u3002\u5148\u306e\u8a18\u8ff0\u306b\u3042\u3063\u305f\u4ed5\u4e8b\u3092\u6c42\u3081\u308b\u7dda\u7a4d\u5206\u3092\u5177\u4f53\u7684\u306b\u8a08\u7b97\u3059\u308b\u4f8b\u3002\u4eca\u307e\u3067\uff0c\u91cd\u529b\u306b\u9006\u3089\u3063\u3066\u79fb\u52d5\u3055\u305b\u308b\u4ed5\u4e8b\u3092\u8003\u3048\u3066\u304d\u305f\u304c\uff0c\u3053\u3053\u3067\u306f\u91cd\u529b\u304c\u3059\u308b\u4ed5\u4e8b\u3092\u6c42\u3081\u308b\u306e\u3067\u8a71\u304c\u53cd\u5bfe\u306b\u306a\u3063\u3066\u3044\u308b\u3002\u5b66\u751f\u306f\u6238\u60d1\u308f\u306a\u304b\u3063\u305f\u306e\u3060\u308d\u3046\u304b\u3002<\/p>\n<p><a href=\"http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/07\/20190630a.png\"><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/07\/20190630a-300x191.png\" alt=\"\" width=\"300\" height=\"191\" class=\"aligncenter size-medium wp-image-8371\" srcset=\"http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/07\/20190630a-300x191.png 300w, http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/07\/20190630a-600x382.png 600w, http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/07\/20190630a.png 628w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a><\/p>\n<p>\u529b\u3068\u5909\u4f4d\u306e\u30d9\u30af\u30c8\u30eb\u306e\u8a18\u6cd5\u306f\u6559\u79d1\u66f8\u304b\u3089\u5c11\u3057\u5909\u3048\u308b\u3002<\/p>\n<ul>\\(\\displaystyle<br \/>\n\\vec{F}(\\vec{r}) = ( 0, &#8211; m \\, g), \\quad d \\vec{r} = (d x, d y)<br \/>\n\\)<\/ul>\n<p>\u5168\u4f53\u306e\u4ed5\u4e8b\u306f<\/p>\n<ul>\\(\\begin{eqnarray} \\displaystyle<br \/>\nW &#038;=&#038; \\int \\vec{F}(\\vec{r}) \\cdot d \\vec{r}\\\\<br \/>\n  &#038;=&#038; \\int F_x \\, d x + \\int F_y \\, d y\\\\<br \/>\n  &#038;=&#038; \\int_{h}^{0} &#8211; m \\, g \\, dy\\\\<br \/>\n  &#038;=&#038; m \\, g \\, h<br \/>\n\\end{eqnarray}\\)<\/ul>\n<p>\u659c\u9762\u306e\u5f62\u304c\u8a08\u7b97\u306b\u306f\u5168\u304f\u51fa\u3066\u3053\u306a\u304b\u3063\u305f\u3053\u3068\u304b\u3089\uff0c\u7d4c\u8def\u306b\u4f9d\u3089\u306a\u3044\u5024\u3067\u3042\u308b\u3053\u3068\u3092\u5f37\u8abf\u3057\u305f\u3002\u3053\u306e\u5f8c\u306e\u4fdd\u5b58\u529b\u306e\u8a71\u3078\u306e\u4f0f\u7dda\u306e\u3064\u3082\u308a\u3002<\/p>\n<p><span style=\"color: #0000ff;\">\u4ed5\u4e8b\u7387<\/span><\/p>\n<p><span style=\"color: #000099;\">\u3088\u304f\u8003\u3048\u305f\u3089\uff0c\u307e\u3060\u4ed5\u4e8b\u306e\u5358\u4f4d\uff08\u30b8\u30e5\u30fc\u30eb\uff09\u306e\u3053\u3068\u3092\u8a71\u3057\u3066\u3044\u306a\u304b\u3063\u305f\u3002\u3053\u3053\u306b\u76db\u308a\u8fbc\u3080\u3002\u4ed5\u4e8b\u306e\u5b9a\u7fa9\u306e\u8a71\u306e\u306a\u304b\u3067\u30ef\u30c3\u30c8\u306e\u8a71\u3092\u3060\u3057\u3066\uff0c\u305d\u3053\u3067\u4ed5\u4e8b\u7387\u306b\u7c21\u5358\u306b\u3075\u308c\u3066\u3044\u308b\u3002<br \/>\n\u3000\u529b\u5b66\u306b\u304a\u3051\u308b\u4ed5\u4e8b\u7387\u306f\u529b\u3068\u901f\u5ea6\u306e\u7a4d\u306a\u306e\u3060\u304c\uff0c\u6559\u79d1\u66f8\u306f\u4ed5\u4e8b\u3092\u6642\u9593\u3067\u5272\u3063\u305f\u8a08\u7b97\u3092\u793a\u3057\u3066\u3044\u308b\u3060\u3051\u3067\uff0c\u77ac\u9593\u306e\u8a08\u7b97\u3092\u304d\u3061\u3093\u3068\u3059\u308c\u3070\u305d\u306e\u8a18\u8ff0\u306f\u9593\u9055\u3044\u3067\u306f\u306a\u3044\u306e\u3060\u304c\uff0c\u5e7e\u5206\u6ce8\u610f\u304c\u5fc5\u8981\u304b\u3082\u3057\u308c\u306a\u3044\u3002<br \/>\n<\/span><\/p>\n<p>\u3000\u307e\u305a\uff0c\u4ed5\u4e8b\u306e\u5358\u4f4d\u3092\u78ba\u8a8d\u3059\u308b\u3002\u529b\u3068\u4f5c\u7528\u3057\u305f\u8ddd\u96e2\u306e\u7a4d\u306a\u306e\u3067\uff0c\u30cb\u30e5\u30fc\u30c8\u30f3 X \u30e1\u30fc\u30c8\u30eb \u3067\u3042\u308a\uff0c\u3053\u308c\u304c\u30b8\u30e5\u30fc\u30eb\u3068\u5b9a\u3081\u3089\u308c\u3066\u3044\u308b\u3002\u4ed5\u4e8b\u7387\u3068\u306f\u5358\u4f4d\u6642\u9593\u5f53\u305f\u308a\u306e\u4ed5\u4e8b\u306e\u3053\u3068\u3067\uff0c\u3064\u307e\u308a \u30b8\u30e5\u30fc\u30eb \/ \u6642\u9593 \u3067\u3053\u308c\u3092\u30ef\u30c3\u30c8\u3068\u5b9a\u3081\u308b\u3002<\/p>\n<p>\u30ef\u30c3\u30c8\u306e\u5927\u304d\u3055\u3092\u8003\u3048\u3066\u307f\u3088\u3046\u3002\u3000\\(1 \\, \\mathrm{kg}\\) \u306e\u3082\u306e\u3092 \\(1 \\, \\mathrm{m}\\) \u6301\u3061\u4e0a\u3052\u308b\u3068\uff0c\\(9.8 \\, \\mathrm{J}\\) \u306e\u4ed5\u4e8b\u3092\u3059\u308b\u3002\u305d\u308c\u6545\uff0c\\(1 \\, \\mathrm{J}\\) \u306f \\(1 \\, \\mathrm{kg}\\) \u306e\u3082\u306e\u3092\u7d04 \\(10 \\, \\mathrm{cm}\\) \u6301\u3061\u4e0a\u3052\u308b\u3050\u3089\u3044\u3067\u3042\u308b\u3002\u3053\u308c\u3092 \\(1\\) \u79d2\u9593\u3067\u3084\u308b\u3068\u304d\uff0c \\(1 \\, \\mathrm{W}\\) \u3068\u306a\u308b\u3002\u81ea\u5206\u306a\u3089 \\(100 \\, \\mathrm{W}\\) \u3050\u3089\u3044\u304c\u9650\u754c\u304b\u3082\u3057\u308c\u306a\u3044\u3002\u3061\u306a\u307f\u306b\uff11\u99ac\u529b\u306f \\(746 \\, \\mathrm{w}\\) \u3067\u3042\u308b\u3002<\/p>\n<p>\u529b\u5b66\u306b\u304a\u3051\u308b\u4ed5\u4e8b\u7387\u306e\u6ce8\u610f\u70b9\u3092\u4ee5\u4e0b\u306b\u3042\u3052\u308b\u3002<\/p>\n<p>\\(\\Delta t\\) \u306e\u9593\u306b \\(\\Delta W\\) \u306e\u4ed5\u4e8b\u3092\u3059\u308b\u3068\u3057\u3066\uff0c\u4ed5\u4e8b\u7387 \\(P_{AV}\\) \u306f<\/p>\n<ul>\\(\\displaystyle<br \/>\nP_{AV} = \\frac{\\Delta W}{\\Delta t}<br \/>\n\\)<\/ul>\n<p>\u529b\u5b66\u3067\u306f\uff0c \\(\\Delta t\\) \u3067 \\(\\Delta \\ell\\) \u79fb\u52d5\u3059\u308b\u5834\u5408\uff0c\u901f\u5ea6\u3092 \\(v\\) \u3068\u3057\u3066<\/p>\n<ul>\\(\\begin{eqnarray} \\displaystyle<br \/>\n\\Delta W &#038;=&#038; F \\, \\Delta \\ell\\\\<br \/>\n         &#038;=&#038; F \\, v \\, \\Delta t.<br \/>\n\\end{eqnarray}\\)<\/ul>\n<p>\u3000<br \/>\n\u305d\u308c\u3086\u3048\uff0c\u4ed5\u4e8b\u7387 \\(P\\) \u306f<\/p>\n<ul>\\(\\begin{eqnarray} \\displaystyle<br \/>\nP &#038;=&#038; \\frac{\\Delta W}{\\Delta t}\\\\<br \/>\n  &#038;=&#038; \\frac{F \\, v \\, \\Delta t}{\\Delta t}\\\\<br \/>\n  &#038;=&#038; F \\, v.<br \/>\n\\end{eqnarray}\\)<\/ul>\n<p>\u3000\u3053\u308c\u304b\u3089\u3059\u308b\u3068\u4e00\u5b9a\u306e\u529b\u3092\u52a0\u3048\u7d9a\u3051\u308b\u7b49\u52a0\u901f\u5ea6\u904b\u52d5\u3067\u3082\uff0c\u901f\u5ea6\u306e\u5897\u52a0\u3068\u5171\u306b\u4ed5\u4e8b\u7387\u306f\u5897\u52a0\u3057\u3066\u3044\u308b\u3002\u6700\u7d42\u7684\u306a\u904b\u52d5\u30a8\u30cd\u30eb\u30ae\u30fc\u3092\u52a0\u901f\u306b\u8981\u3057\u305f\u6642\u9593\u3067\u5272\u3063\u3066\u3082\u4ed5\u4e8b\u7387\u306f\u5f97\u3089\u308c\u306a\u3044\u3002<\/p>\n<p>\u3000\u4e0a\u306e\u8a08\u7b97\u3067\u529b\u304c\u4f5c\u7528\u3057\u305f\u8ddd\u96e2\u3092\u8003\u3048\u308b\u969b\u306b\u901f\u5ea6\u3068\u5fae\u5c0f\u6642\u9593\u306e\u7a4d\u3092\u8003\u3048\u305f\u304c\uff0c\u3053\u308c\u306f\u3053\u306e\u5f8c\u306e\u904b\u52d5\u65b9\u7a0b\u5f0f\u306e\u7a4d\u5206\u3092\u8003\u3048\u308b\u3068\u304d\u306b\u4f3c\u305f\u3088\u3046\u306a\u3053\u3068\u3092\u3084\u308b\u306e\u3067\uff0c\u305d\u306e\u524d\u632f\u308a\u306b\u306a\u308b\u304b\u3082\u3002<\/p>\n<p><strong>6.4 \u4fdd\u5b58\u529b\u3068\u4f4d\u7f6e\u30a8\u30cd\u30eb\u30ae\u30fc<\/strong><\/p>\n<p><span style=\"color: #000099;\">\u3000\u8a71\u306e\u6d41\u308c\u3068\u3057\u3066\u306f\u3001\u76f4\u524d\u306b\u3001\u4ed5\u4e8b\u306e\u4e00\u822c\u7684\u5b9a\u7fa9\u3068\u3057\u3066\u3001\u76f4\u7dda\u4ee5\u5916\u306e\u9053\u7b4b\u306b\u6cbf\u3063\u305f\u4ed5\u4e8b\u306e\u8a08\u7b97\u3092\u3084\u3063\u3066\u3044\u308b\u3002\u9053\u7b4b\u304c\u7570\u306a\u308c\u3070\u3001\u5f53\u7136\u4ed5\u4e8b\u306e\u8a08\u7b97\u5024\u306f\u7570\u306a\u308b\u3068\u4e88\u60f3\u3055\u308c\u308b\u304c\u3001\u3069\u306e\u9053\u7b4b\u3092\u901a\u3063\u3066\u3082\u540c\u3058\u5024\u3068\u306a\u308b\u5834\u5408\u304c\u3042\u308b\u3002\u305d\u308c\u304c\u4fdd\u5b58\u529b\u3068\u8a00\u308f\u308c\u308b\u529b\u306e\u5834\u3067\u3042\u308b\u3001\u3068\u3044\u3046\u8a71\u306e\u6d41\u308c\u3060\u3068\u601d\u308f\u308c\u308b\u3002<\/span><\/p>\n<p><span style=\"color: #000099;\">\u3053\u3053\u306f\u4fdd\u5b58\u529b\u3068\u306a\u308b\u5177\u4f53\u7684\u306a\u4f8b\u304b\u3089\u5165\u308a\u305f\u3044\u3002<\/span><\/p>\n<p>\u3000\u5148\u306b\uff0c\u91cd\u529b\u304c\u3059\u308b\u4ed5\u4e8b\u306f\u9ad8\u3055\u306e\u5dee\u306e\u307f\u3067\u6c7a\u307e\u308a\u7d4c\u8def\u306b\u4f9d\u3089\u306a\u3044\u3068\u3044\u3046\u306e\u304c\u3042\u3063\u305f\u3002\u9006\u306b\u91cd\u529b\u306b\u9006\u3089\u3063\u3066\u6301\u3061\u4e0a\u3052\u308b\u3068\u304d\u3082\uff0c\u659c\u9762\u3068\u306e\u6469\u64e6\u304c\u7121\u8996\u3067\u304d\u308b\u306e\u3067\u3042\u308c\u3070\u5fc5\u8981\u306a\u4ed5\u4e8b\u306f\u7d4c\u8def\u306b\u4f9d\u3089\u306a\u3044\u3002\u4e07\u6709\u5f15\u529b\u3082\u307e\u305f\u540c\u69d8\u3067\u3042\u308b\u3002\u4e0b\u56f3\u306e\u3088\u3046\u306b\uff0c\u661f M \u304b\u3089\u306e\u5f15\u529b\u306b\u3088\u308a P1 \u304b\u3089 P2 \u307e\u3067\u79fb\u52d5\u3059\u308b\u3068\u304d\u306b\uff0c\u4e07\u6709\u5f15\u529b\u304c\u3059\u308b\u4ed5\u4e8b\u3092\u8003\u3048\u308b\u3002<\/p>\n<p><a href=\"http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/07\/20190702a.png\"><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/07\/20190702a-300x188.png\" alt=\"\" width=\"300\" height=\"188\" class=\"aligncenter size-medium wp-image-8383\" srcset=\"http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/07\/20190702a-300x188.png 300w, http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/07\/20190702a-768x480.png 768w, http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/07\/20190702a-1024x640.png 1024w, http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/07\/20190702a-600x375.png 600w, http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/07\/20190702a.png 1152w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a><\/p>\n<p>\u79fb\u52d5\u3059\u308b\u7d4c\u8def\u306e\u3046\u3061\uff0c\u3075\u305f\u3064\u306e\u540c\u5fc3\u5186\u3092\u6a2a\u5207\u308b\u533a\u9593 \\(\\Delta \\vec{s}\\) \u3067\u306e\u4ed5\u4e8b \\(\\Delta W\\) \u306f<\/p>\n<ul>\\(\\begin{eqnarray} \\displaystyle<br \/>\n\\Delta W &#038;=&#038; \\vec{F} \\cdot \\Delta \\vec{s}\\\\<br \/>\n         &#038;=&#038; \\left|\\vec{F}\\right| \\cdot \\left|\\Delta \\vec{s}\\right| \\, \\cos \\theta\\\\<br \/>\n         &#038;=&#038; \\left|\\vec{F}\\right| \\, \\Delta r.<br \/>\n\\end{eqnarray}\\)<\/ul>\n<p>\u3053\u306e\u3075\u305f\u3064\u306e\u540c\u5fc3\u5186\u3092\u3069\u306e\u3088\u3046\u306b\u6a2a\u5207\u308d\u3046\u3068\u4ed5\u4e8b\u306f\u5909\u308f\u3089\u306a\u3044\u3002\u52a0\u3048\u3066\u540c\u5fc3\u5186\u306e\u5186\u5468\u306b\u6cbf\u3063\u3066\u79fb\u52d5\u3059\u308b\u3068\u304d\u306f \\(\\theta = 90^{\\circ}\\) \u306a\u306e\u3067\u4ed5\u4e8b\u306f\u30bc\u30ed\u3067\u3042\u308b\u3002\u305d\u308c\u3086\u3048\u3069\u306e\u7d4c\u8def\u3092\u901a\u308d\u3046\u3068\u4e07\u6709\u5f15\u529b\u306e\u3059\u308b\u4ed5\u4e8b\u306f\u540c\u3058\u5024\u306b\u306a\u308b\u3002\u307e\u305f\u9006\u306b\u5f15\u529b\u306b\u9006\u3089\u3063\u3066\u79fb\u52d5\u3059\u308b\u5834\u5408\u3082\u540c\u69d8\u306b\u5fc5\u8981\u306a\u4ed5\u4e8b\u306f\u7d4c\u8def\u306b\u4f9d\u3089\u306a\u3044\u3002\u3053\u306e\u3088\u3046\u306b\u4ed5\u4e8b\u304c\u7d4c\u8def\u306b\u4f9d\u3089\u306a\u3044\u529b\u3092\u4fdd\u5b58\u529b\u3068\u3044\u3046\u3002<\/p>\n<p><span style=\"color: #ff0000;\">\u3053\u306e\u3042\u305f\u308a\u306712\u65e5\u76ee\u306e\u7d42\u308f\u308a\u3002<\/span><\/p>\n<p>\u3000\u4fdd\u5b58\u529b\u3068\u3044\u3046\u540d\u524d\u306f\u3044\u304b\u306b\u3082\u4f55\u304b\u4fdd\u5b58\u3055\u308c\u308b\u91cf\u3068\u95a2\u308f\u308a\u304c\u3042\u308b\u306e\u3060\u308d\u3046\u3068\u3044\u3046\u611f\u3058\u304c\u3057\u307e\u3059\u304c\uff0c\u4ed5\u4e8b\u3092\u6c42\u3081\u305f\u8a08\u7b97\u306e\u7a4d\u5206\u7bc4\u56f2\u306e\u59cb\u70b9\uff08\u4ee5\u4e0b\u3067\u306f \\(\\vec{r_0}\\) \uff09\u3092\u56fa\u5b9a\u3059\u308c\u3070\uff0c\u5ea7\u6a19\u3060\u3051\u3067\u6c7a\u5b9a\u3055\u308c\u308b\u30b9\u30ab\u30e9\u30fc\u95a2\u6570 \\(U \\left( \\vec{r} \\right)\\) \u304c\u8003\u3048\u3089\u308c\u307e\u3059\u3002<\/p>\n<ul>\\(\\begin{eqnarray} \\displaystyle<br \/>\nW \\left( \\vec{r}, \\vec{r}_0 \\right) &#038;=&#038; &#8211; \\int_{\\vec{r}_0}^{\\vec{r}} \\vec{F} \\cdot d \\vec{r}\\\\<br \/>\nU \\left( \\vec{r} \\right) &#038;=&#038; &#8211; \\int_{\\vec{r}_0}^{\\vec{r}} \\vec{F} \\cdot d \\vec{r}.<br \/>\n\\end{eqnarray}\\)<\/ul>\n<p>\u3000 \\(U \\left( \\vec{r} \\right)\\) \u306f\u4f4d\u7f6e\u30a8\u30cd\u30eb\u30ae\u30fc\u3084\u30dd\u30c6\u30f3\u30b7\u30e3\u30eb\u30a8\u30cd\u30eb\u30ae\u30fc\u306a\u3069\u3068\u8a00\u308f\u308c\u308b\u91cf\u3067\u3059\u3002\u307e\u305f\u3053\u306e\u4fdd\u5b58\u529b\u306e\u3082\u3068\u3067\uff0c\u4efb\u610f\u306e2\u70b9\u9593\u3092\u79fb\u52d5\u3059\u308b\u3068\u304d\u306b\u5fc5\u8981\u306a\u4ed5\u4e8b\u3092 \\(U \\left( \\vec{r} \\right)\\) \u3092\u7528\u3044\u3066\u8868\u3057\u3066\u307f\u307e\u3059\u3002<\/p>\n<p><a href=\"http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/07\/20190702b.png\"><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/07\/20190702b-300x188.png\" alt=\"\" width=\"300\" height=\"188\" class=\"aligncenter size-medium wp-image-8402\" srcset=\"http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/07\/20190702b-300x188.png 300w, http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/07\/20190702b-768x480.png 768w, http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/07\/20190702b-1024x640.png 1024w, http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/07\/20190702b-600x375.png 600w, http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/07\/20190702b.png 1152w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a><\/p>\n<p>\u3069\u306e\u7d4c\u8def\u3067\u4ed5\u4e8b\u3092\u8a08\u7b97\u3057\u3066\u3082\u540c\u3058\u5024\u306b\u306a\u308b\u306e\u3060\u304b\u3089\uff0c \\(\\vec{r}_0\\) \u304b\u3089\u51fa\u767a\u3057\u3066 \\(\\vec{r}_1\\) \u3092\u7d4c\u7531\u3057 \\(\\vec{r}_2\\) \u306b\u81f3\u308b\u7d4c\u8def\u3067\u4ed5\u4e8b\u3092\u8a08\u7b97\u3057\u307e\u3059\u3002<\/p>\n<ul>\\(\\begin{eqnarray} \\displaystyle<br \/>\nW \\left( \\vec{r}_2, \\vec{r}_1 \\right) &#038;=&#038; &#8211; \\int_{\\vec{r}_1}^{\\vec{r}_2} \\vec{F} \\cdot d \\vec{r}\\\\<br \/>\nW \\left( \\vec{r}_2, \\vec{r}_0 \\right) &#8211; W \\left( \\vec{r}_1, \\vec{r}_0 \\right)&#038;=&#038; &#8211; \\int_{\\vec{r}_1}^{\\vec{r}_2} \\vec{F} \\cdot d \\vec{r}\\\\<br \/>\nU \\left( \\vec{r}_2 \\right) &#8211; U \\left( \\vec{r}_1 \\right)&#038;=&#038; &#8211; \\int_{\\vec{r}_1}^{\\vec{r}_2} \\vec{F} \\cdot d \\vec{r}<br \/>\n\\end{eqnarray}\\)<\/ul>\n<p>\u3053\u306e\u5f0f\u306f\u3053\u306e\u5f8c\u306e\u30a8\u30cd\u30eb\u30ae\u30fc\u4fdd\u5b58\u306e\u3068\u3053\u308d\u3067\u4f7f\u3044\u307e\u3059\u3002<\/p>\n<p><strong>6.5 \u904b\u52d5\u65b9\u7a0b\u5f0f\u306e\u30a8\u30cd\u30eb\u30ae\u30fc\u7a4d\u5206<\/strong><\/p>\n<p>\u30006 \u7ae0\u306e\u59cb\u3081\u304b\u3089\u4ed5\u4e8b\u306b\u95a2\u3057\u3066\u8003\u3048\u3066\u304d\u3066\uff0c\u3053\u3053\u3067\u3084\u3063\u3068\u904b\u52d5\u3068\u4ed5\u4e8b\u304c\u7d50\u3073\u3064\u304d\u307e\u3059\u3002\u904b\u52d5\u65b9\u7a0b\u5f0f\u306f<\/p>\n<ul>\\(\\displaystyle<br \/>\nm \\frac{d \\vec{v}}{d t} = \\vec{F}<br \/>\n\\)<\/ul>\n<p>\u4e0a\u8a18\u306e\u3088\u3046\u306b\u5fae\u5206\u306e\u5f0f\u306a\u306e\u3067\u3059\u304c\uff0c\u5fae\u5206\u3059\u308b\u524d\u306e\u5f62\u304c\u5b58\u5728\u3059\u308b\u306e\u304b\u3002\u307e\u305f\u4ed5\u4e8b\u306f\u904b\u52d5\u65b9\u7a0b\u5f0f\u306e\u53f3\u8fba\u3092\u5ea7\u6a19\u3067\u7a4d\u5206\u3057\u305f\u5f62\u3092\u3057\u3066\u3044\u307e\u3059\u3002<\/p>\n<ul>\\(\\displaystyle<br \/>\n\\int \\vec{F} \\cdot d \\vec{r}<br \/>\n\\)<\/ul>\n<p>\u5de6\u8fba\u3092\u5ea7\u6a19\u3067\u7a4d\u5206\u3059\u308b\u3068\u3069\u3046\u306a\u308b\u306e\u304b\uff0c\u3068\u3044\u3046\u306e\u304c\u3053\u3053\u306e\u5185\u5bb9\u3067\u3059\u3002<\/p>\n<p><span style=\"color: #0000ff;\">1\u6b21\u5143\u306e\u904b\u52d5<\/span><\/p>\n<p>\u3000\u6700\u521d\u306f 1 \u6b21\u5143\u3067\u8003\u3048\u307e\u3057\u3087\u3046\u3002\u529b\u306f\u5ea7\u6a19\u3067\u6c7a\u307e\u308b\u3082\u306e\u3092\u60f3\u5b9a\u3057\u307e\u3059\u3002\u4e00\u6b21\u5143\u306a\u306e\u3067\u904b\u52d5\u65b9\u7a0b\u5f0f\u306f\u4e0b\u8a18\u3002<\/p>\n<ul>\\(\\displaystyle<br \/>\nm \\frac{d v}{d t} = F(x).<br \/>\n\\)<\/ul>\n<p>\u4ed5\u4e8b\u306f\u53f3\u8fba\u3092\u5ea7\u6a19\u3067\u7a4d\u5206\u3057\u305f\u3082\u306e\u306a\u306e\u3067\uff0c\u4e21\u8fba\u3092\u5ea7\u6a19\u3067\u7a4d\u5206\u3057\u3066\u307f\u307e\u3059\u3002<\/p>\n<ul>\\(\\displaystyle<br \/>\n\\int m \\frac{d v}{d t} \\, d x = \\int F(x) \\, d x.<br \/>\n\\)<\/ul>\n<p>\u53f3\u8fba\u306f\u4ed5\u4e8b\u305d\u306e\u3082\u306e\u306a\u306e\u3067\u307b\u3063\u3068\u3044\u3066\uff0c\u5de6\u8fba\u3092\u8a08\u7b97\u3057\u3066\u307f\u307e\u3059\u3002\u307e\u305a\u306f\u7a4d\u5206\u306e\u5909\u6570\u5909\u63db\u3002<\/p>\n<ul>\\(\\begin{eqnarray} \\displaystyle<br \/>\nd x &#038;=&#038; \\frac{d x}{d t} \\, d t\\\\<br \/>\n    &#038;=&#038; v \\, d t<br \/>\n\\end{eqnarray}\\)<\/ul>\n<p>\u3053\u308c\u3092\u7528\u3044\u3066\u5de6\u8fba\u3092\u8a08\u7b97\u3059\u308b\u3068<\/p>\n<ul>\\(\\begin{eqnarray} \\displaystyle<br \/>\n\\mathrm{\u5de6\u8fba} &#038;=&#038; \\int m \\, \\frac{d v}{d t} \\, v \\, d t\\\\<br \/>\n              &#038;=&#038; \\frac{m}{2} \\, \\int_{t_1}^{t_2} \\frac{d}{d t} \\left( v^2 \\right) \\, d t\\\\<br \/>\n              &#038;=&#038; \\frac{1}{2} \\, m \\, v_{2}^{2}- \\frac{1}{2} \\, m \\, v_{1}^{2}<br \/>\n\\end{eqnarray}\\)<\/ul>\n<p> \\(v_1\\) \uff0c \\(v_2\\) \u306f\u6642\u523b \\(t_1\\) \uff0c \\(t_2\\) \u3067\u306e\u901f\u5ea6\u3067\u3059\u3002\u53f3\u8fba\u3068\u5408\u308f\u305b\u308b\u3068\u4e0b\u8a18\u3002<\/p>\n<ul>\\(\\displaystyle<br \/>\n\\frac{1}{2} \\, m \\, v_{2}^{2}- \\frac{1}{2} \\, m \\, v_{1}^{2} = \\int_{x_1}^{x_2} F(x) \\, d x.<br \/>\n\\)<\/ul>\n<p>\uff08 \u4ed5\u4e8b\u304c\u6b63\u306e\u5024\u306a\u3089\u3070\uff09\u4ed5\u4e8b\u3092\u52a0\u3048\u308b\u3053\u3068\u3067 \\(\\displaystyle \\frac{1}{2} \\, m \\, v^{2}\\) \u304c\u5897\u52a0\u3057\u3066\u3044\u307e\u3059\u3002\u3053\u308c\u304c\u4ed5\u4e8b\u3068\u904b\u52d5\u306e\u95a2\u4fc2\u3067\u3059\u3002\u3084\u3063\u3068\u843d\u3061\u304c\u4ed8\u304d\u307e\u3057\u305f\u3002\u904b\u52d5\u30a8\u30cd\u30eb\u30ae\u30fc\u306b\u4fc2\u6570\u3068\u3057\u3066 \\(\\displaystyle \\frac{1}{2}\\) \u3092\u4ed8\u3051\u308b\u7406\u7531\u3082\u3053\u306e\u8fba\u306e\u8a08\u7b97\u306b\u3088\u308b\u3053\u3068\u304c\u5206\u304b\u308a\u307e\u3059\u3002<\/p>\n<p>\u3000 \\(F(x)\\) \u304c\u4fdd\u5b58\u529b\u3067\u3042\u308b\u3068\u3057\u3066\uff0c\u4e0b\u8a18\u306e\u3088\u3046\u306b\u30dd\u30c6\u30f3\u30b7\u30e3\u30eb\u30a8\u30cd\u30eb\u30ae\u30fc\u3092\u5b9a\u7fa9\u3057\u307e\u3059\u3002<\/p>\n<ul>\\(\\displaystyle<br \/>\nU \\left( x \\right) = &#8211; \\int_{x_0}^{x} F(x&#8217;) \\, d x&#8217;.<br \/>\n\\)<\/ul>\n<p>\u5148\u307b\u3069\u306e\u53f3\u8fba\u306e\u4ed5\u4e8b\u3092\uff0c\u3053\u306e \\(U(x)\\) \u3092\u7528\u3044\u3066\u8868\u3059\u3068<\/p>\n<ul>\\(\\begin{eqnarray} \\displaystyle<br \/>\n\\int_{x_1}^{x_2} F(x) \\, d x &#038;=&#038; \\int_{x_0}^{x_2} F(x) \\, d x-\\int_{x_0}^{x_1} F(x) \\, d x\\\\<br \/>\n                             &#038;=&#038; &#8211; U(x_{2}) + U(x_{1}).<br \/>\n\\end{eqnarray}\\)<\/ul>\n<p>\u4e0a\u8a18\u3067\u53f3\u8fba\u3092\u7f6e\u304d\u63db\u3048\u308b\u3068\uff0c\u7d50\u5c40<\/p>\n<ul>\\(\\begin{eqnarray} \\displaystyle<br \/>\n\\frac{1}{2} \\, m \\, v_{2}^{2}- \\frac{1}{2} \\, m \\, v_{1}^{2} &#038;=&#038; &#8211; U(x_{2}) + U(x_{1})\\\\<br \/>\n\\frac{1}{2} \\, m \\, v_{2}^{2} + U(x_{2}) &#038;=&#038; \\frac{1}{2} \\, m \\, v_{1}^{2}  + U(x_{1})<br \/>\n\\end{eqnarray}\\)<\/ul>\n<p>\u4fdd\u5b58\u529b\u306b\u3088\u308b\u904b\u52d5\u3067\u306f\uff0c\\(\\displaystyle \\frac{1}{2} \\, m \\, v^{2} + U(x)\\) \u304c\u4e00\u5b9a\u306e\u5024\u3068\u306a\u3063\u3066\u3044\u307e\u3059\u3002\u305d\u308c\u3067\u3053\u306e\u4e00\u5b9a\u306e\u5024\u3068\u3057\u3066\u4fdd\u6301\u3055\u308c\u3066\u3044\u308b\u4f55\u304b\u306b\u30a8\u30cd\u30eb\u30ae\u30fc\u3068\u3044\u3046\u540d\u304c\u4ed8\u304d\u307e\u3057\u305f\u3002<\/p>\n<p><span style=\"color: #0000ff;\">\u904b\u52d5\u30a8\u30cd\u30eb\u30ae\u30fc<\/span><\/p>\n<p>\u3000\u3053\u3053\u306f\u5148\u307b\u3069\u306e\u4ed5\u4e8b\u3068\u904b\u52d5\u306e\u95a2\u4fc2\u3092 3 \u6b21\u5143\u306b\u3057\u305f\u3060\u3051\u3067\u3059\u3002<\/p>\n<p><a href=\"http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/07\/20190704a.png\"><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/07\/20190704a-300x188.png\" alt=\"\" width=\"300\" height=\"188\" class=\"aligncenter size-medium wp-image-8434\" srcset=\"http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/07\/20190704a-300x188.png 300w, http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/07\/20190704a-768x480.png 768w, http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/07\/20190704a-1024x640.png 1024w, http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/07\/20190704a-600x375.png 600w, http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/07\/20190704a.png 1152w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a><\/p>\n<p>\u4e0b\u8a18\u306e\u904b\u52d5\u65b9\u7a0b\u5f0f\u306e\u4e21\u8fba\u3092\u4e0a\u56f3\u306e\u7d4c\u8def\u306b\u6cbf\u3063\u3066\u5ea7\u6a19\u3067\u7a4d\u5206\u3059\u308b\u3053\u3068\u3092\u8003\u3048\u307e\u3059\u3002<\/p>\n<ul>\\(\\displaystyle<br \/>\nm \\frac{d \\vec{v}}{d t} = \\vec{F}<br \/>\n\\)<\/ul>\n<p>\u53f3\u8fba\u306e\u7a4d\u5206\u306f\u4ed5\u4e8b\u305d\u306e\u3082\u306e\u3067\u3059\u3002<\/p>\n<ul>\\(\\displaystyle<br \/>\n\\int \\vec{F} \\cdot d \\vec{r}<br \/>\n\\)<\/ul>\n<p>\u3053\u3053\u3067 \\(d \\vec{r} = (d x, d y, d z)\\) \u3067\u3059\u3002\u7d9a\u3044\u3066\u5de6\u8fba\u306e\u7a4d\u5206\u3092\u8003\u3048\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n<ul>\\(\\begin{eqnarray} \\displaystyle<br \/>\n\\mathrm{\u5de6\u8fba} &#038;=&#038; \\int m \\, \\frac{d \\vec{v}}{d t} \\cdot  d \\vec{r}\\\\<br \/>\n              &#038;=&#038; \\int m \\, \\frac{d v_x}{d t} \\, d x + \\int m \\, \\frac{d v_y}{d t} \\, d y + \\int m \\, \\frac{d v_z}{d t} \\, d z<br \/>\n\\end{eqnarray}\\)<\/ul>\n<p>\u3053\u3053\u3067\u9805\u306e\u3072\u3068\u3064\u3060\u3051\u3092\u53d6\u308a\u51fa\u3057\u3066\u307f\u307e\u3059\u3002<\/p>\n<ul>\\(\\begin{eqnarray} \\displaystyle<br \/>\n\\int m \\, \\frac{d v_x}{d t} \\, d x &#038;=&#038; \\int m \\, \\frac{d v_x}{d t} \\, v_x \\, d t\\\\<br \/>\n                                   &#038;=&#038; \\frac{m}{2} \\, \\int_{t_1}^{t_2} \\frac{d}{d t} \\left( v_{x}^2 \\right) \\, d t\\\\<br \/>\n                                   &#038;=&#038; \\frac{1}{2} \\, m \\, v_{x}^{2}(t_2)- \\frac{1}{2} \\, m \\, v_{x}^{2}(t_1)<br \/>\n\\end{eqnarray}\\)<\/ul>\n<p>\u3088\u3063\u3066\u5de6\u8fba\u306f<\/p>\n<ul>\\(\\displaystyle<br \/>\n\\mathrm{\u5de6\u8fba} = \\frac{1}{2} \\, m \\, v_{2}^{2}- \\frac{1}{2} \\, m \\, v_{1}^{2}<br \/>\n\\)<\/ul>\n<p>\u53f3\u8fba\u3068\u7e4b\u304e\u307e\u3059\u3002 \\(\\vec{F}\\) \u304c\u4fdd\u5b58\u529b\u3067\u3042\u308b\u3068\u3057\u3066\uff0c\u305d\u306e\u30dd\u30c6\u30f3\u30b7\u30e3\u30eb\u30a8\u30cd\u30eb\u30ae\u30fc\u3092 \\(U\\) \u3068\u3059\u308c\u3070\uff0c<\/p>\n<ul>\\(\\begin{eqnarray} \\displaystyle<br \/>\n\\frac{1}{2} \\, m \\, v_{2}^{2}- \\frac{1}{2} \\, m \\, v_{1}^{2} &#038;=&#038; \\int_{\\vec{r}_1}^{\\vec{r}_2} \\vec{F} \\cdot d \\vec{r}\\\\<br \/>\n\\frac{1}{2} \\, m \\, v_{2}^{2}- \\frac{1}{2} \\, m \\, v_{1}^{2}  &#038;=&#038; &#8211; U \\left( \\vec{r}_2\\right) + U \\left( \\vec{r}_1\\right)\\\\<br \/>\n\\frac{1}{2} \\, m \\, v_{2}^{2} + U \\left( \\vec{r}_2\\right) &#038;=&#038;  \\frac{1}{2} \\, m \\, v_{1}^{2} + U \\left( \\vec{r}_1\\right)<br \/>\n\\end{eqnarray}\\)<\/ul>\n<p>1 \u6b21\u5143\u3068\u540c\u3058\u3088\u3046\u306b\u30a8\u30cd\u30eb\u30ae\u30fc\u4fdd\u5b58\u5247\u304c\u6210\u7acb\u3057\u307e\u3057\u305f\u3002<\/p>\n<p><strong>\u4f8b\u984c 6.1<\/strong><\/p>\n<p>\u3000\u3055\u3066\uff0c\u4ed5\u4e8b\u306e\u8a08\u7b97\u3067\u3059\u3002\u6163\u308c\u306a\u3044\u7dda\u7a4d\u5206\u3092\u3084\u3063\u3066\u307f\u308b\u3068\u3044\u3046\u4f8b\u984c\u3067\u3059\u304c\uff0c\u7d50\u5c40\u6210\u5206\u306b\u5206\u3051\u3066\u8a08\u7b97\u3057\u3066\u3057\u307e\u3046\u306e\u3067\u901a\u5e38\u306e\u7a4d\u5206\u3068\u3042\u307e\u308a\u5909\u308f\u308a\u304c\u3042\u308a\u307e\u305b\u3093\u3002<\/p>\n<p>\u3000\u8cea\u91cf \\(m\\) \u306e\u7269\u4f53\u304c\uff0c\u529b \\(\\vec{F} = (-k\\, y, k \\, x)\\) \u3092\u53d7\u3051\u3066\uff0c\u4e0b\u56f3\u306e\u3088\u3046\u306a\u5e73\u9762\u4e0a\u3092\u70b9 A \u304b\u3089\u70b9 B \u307e\u3067\u79fb\u52d5\u3057\u307e\u3059\u3002\u5909\u6570 \\(k\\) \u3092\u4ed8\u3051\u3066\u3044\u308b\u306e\u306f\u6b21\u5143\uff08\u5358\u4f4d\uff09\u3092\u8003\u3048\u3066\u306e\u3053\u3068\u3060\u3068\u601d\u3044\u307e\u3059\u3002<\/p>\n<p><a href=\"http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/07\/20190704b.png\"><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/07\/20190704b-300x188.png\" alt=\"\" width=\"300\" height=\"188\" class=\"aligncenter size-medium wp-image-8451\" srcset=\"http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/07\/20190704b-300x188.png 300w, http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/07\/20190704b-768x480.png 768w, http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/07\/20190704b-1024x640.png 1024w, http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/07\/20190704b-600x375.png 600w, http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/07\/20190704b.png 1152w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a><\/p>\n<p>C1\u306e\u7d4c\u8def\uff08\u6b63\u65b9\u5f62\u306e\u8fba\u4e0a\uff09\u3068C2\uff08\u5186\u5468\u4e0a\uff09\u3067\u4ed5\u4e8b\u3092\u8a08\u7b97\u3057\u307e\u3059\u3002\u529b\u304c\u3069\u3093\u306a\u611f\u3058\u306e\u3082\u306e\u306a\u306e\u304b\u5c11\u3057\u8003\u3048\u3066\u307f\u307e\u3059\u3002\u4f4d\u7f6e\u30d9\u30af\u30c8\u30eb\u3068\u529b\u306e\u5f0f\u304b\u3089\uff0c\u4e21\u8005\u304c\u76f4\u4ea4\u3057\u3066\u3044\u308b\u3053\u3068\u304c\u5206\u304b\u308a\u307e\u3059\u3002<\/p>\n<p><a href=\"http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/07\/20190704c.png\"><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/07\/20190704c-300x188.png\" alt=\"\" width=\"300\" height=\"188\" class=\"aligncenter size-medium wp-image-8452\" srcset=\"http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/07\/20190704c-300x188.png 300w, http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/07\/20190704c-768x480.png 768w, http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/07\/20190704c-1024x640.png 1024w, http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/07\/20190704c-600x375.png 600w, http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/07\/20190704c.png 1152w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a><\/p>\n<p>\u5186\u5468\u4e0a\u3067\u306f\uff08\u534a\u5f84 \\(r\\) \uff09\uff0c\u529b\u306f\u5927\u304d\u3055\u304c\u4e00\u5b9a\u3067\uff0c\u63a5\u7dda\u65b9\u5411\u306b\u5411\u3044\u3066\u3044\u307e\u3059\u3002 \\(r\\) \u304c\u5927\u304d\u304f\u306a\u308b\u306b\u3064\u308c\u3066\uff0c\u529b\u3082\u5927\u304d\u304f\u306a\u308a\u307e\u3059\u3002<\/p>\n<ul>\\(\\begin{eqnarray} \\displaystyle<br \/>\n\\vec{F} &#038;=&#038; \\sqrt{k^2 \\, x^2 + k^2 \\, y^2}\\\\<br \/>\n        &#038;=&#038; k \\, r<br \/>\n\\end{eqnarray}\\)<\/ul>\n<p>\u305d\u306e\u305f\u3081\uff0c\u529b\u306f\u4e0b\u56f3\u306e\u69d8\u306b\u6e26\u3092\u5dfb\u3044\u3066\u3044\u307e\u3059\u3002\u539f\u70b9\u304b\u3089\u9060\u3056\u304b\u308b\u307b\u3069\u529b\u306f\u5927\u304d\u304f\u306a\u308a\u307e\u3059\u3002<\/p>\n<p><a href=\"http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/07\/20190704d.png\"><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/07\/20190704d-300x188.png\" alt=\"\" width=\"300\" height=\"188\" class=\"aligncenter size-medium wp-image-8453\" srcset=\"http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/07\/20190704d-300x188.png 300w, http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/07\/20190704d-768x480.png 768w, http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/07\/20190704d-1024x640.png 1024w, http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/07\/20190704d-600x375.png 600w, http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/wp-content\/uploads\/2019\/07\/20190704d.png 1152w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a><\/p>\n<p>\u307e\u305a\u306f C1 \u306b\u6cbf\u3063\u3066\uff0c\u4ed5\u4e8b\u3092\u8a08\u7b97\u3057\u3066\u307f\u307e\u3057\u3087\u3046\u3002C1 \u4e0a\u3067 \\(\\displaystyle \\int \\vec{F} \\cdot d \\vec{r}\\) \u3092\u6c42\u3081\u307e\u3059\u3002 \\(d \\vec{r} = (d x, d y)\\) \u3068\u3057\u3066\uff0c\\(\\vec{F}\\) \u3068\u306e\u5185\u7a4d\u3092\u8003\u3048\u307e\u3059\u3002<\/p>\n<ul>\\(\\begin{eqnarray} \\displaystyle<br \/>\n\\int_{C_1} \\vec{F} \\cdot d \\vec{r} &#038;=&#038; \\int_{C_1} F_x \\, d x + \\int_{C_1} F_y \\, d y\\\\<br \/>\n                                   &#038;=&#038; \\int_{a}^{0} &#8211; k \\, a \\, d x + \\int_{0}^{a} k \\, a \\, d y\\\\<br \/>\n                                   &#038;=&#038; &#8211; k \\, a \\, \\Bigl[\\, x \\, \\Bigr]_{a}^{0} + k \\, a \\, \\Bigl[\\, y \\, \\Bigr]_{0}^{a}\\\\<br \/>\n                                   &#038;=&#038; 2 \\, k \\, a^2<br \/>\n\\end{eqnarray}\\)<\/ul>\n<p>\u6b21\u306b C2 \u4e0a\u3067\u8a08\u7b97\u3057\u3066\u307f\u307e\u3057\u3087\u3046\u3002\u5909\u6570\u5909\u63db\u3092\u3057\u305f\u3044\u306e\u3067\u3059\u304c\uff0c \\(\\vec{r} = ( x, y) = (a \\, \\cos \\theta, a \\, \\sin \\theta)\\) \u3068\u3057\u3066\uff0c<\/p>\n<ul>\\(\\begin{eqnarray} \\displaystyle<br \/>\nd \\vec{r} &#038;=&#038; ( d x, d y)\\\\<br \/>\n          &#038;=&#038; ( -a \\, \\sin \\theta \\, d \\theta, a \\, \\cos \\theta \\, d \\theta)<br \/>\n\\end{eqnarray}\\)<\/ul>\n<p>\u307e\u305f\u529b\u306f<\/p>\n<ul>\\(\\begin{eqnarray} \\displaystyle<br \/>\n\\vec{F} &#038;=&#038; ( &#8211; k \\, y, k \\, x)\\\\<br \/>\n        &#038;=&#038; ( -k \\, a \\, \\sin \\theta, k \\, a \\, \\cos \\theta)<br \/>\n\\end{eqnarray}\\)<\/ul>\n<p>\u3088\u3063\u3066<\/p>\n<ul>\\(\\begin{eqnarray} \\displaystyle<br \/>\n\\vec{F} \\cdot d \\vec{r} &#038;=&#038; k \\, a^2 \\, \\sin^2 \\theta \\, d \\theta + k \\, a^2 \\, \\cos^2 \\theta \\, d \\theta\\\\<br \/>\n        &#038;=&#038; k \\, a^2 \\, d \\theta<br \/>\n\\end{eqnarray}\\)<\/ul>\n<p>\u4e0a\u8a18\u3092\u4f7f\u3063\u3066\u4ed5\u4e8b\u3092\u8a08\u7b97\u3057\u307e\u3059\u3002<\/p>\n<ul>\\(\\begin{eqnarray} \\displaystyle<br \/>\n\\int_{C_2} \\vec{F} \\cdot d \\vec{r} &#038;=&#038; \\int_{0}^{\\frac{\\pi}{2}} k \\, a^2 \\, d \\theta\\\\<br \/>\n                                   &#038;=&#038; k \\, a^2 \\, \\Bigl[ \\,  \\theta \\, \\Bigr]_{0}^{\\frac{\\pi}{2}}\\\\<br \/>\n                                   &#038;=&#038; \\frac{\\pi}{2} \\, k \\, a^2<br \/>\n\\end{eqnarray}\\)<\/ul>\n<p>C3 \u3082\u3042\u3063\u305f\u306e\u3067\u3059\u304c\u30d1\u30b9\u3057\u307e\u3059\u3002\u3055\u3066\uff0c\u4e0a\u8a18\u4e8c\u901a\u308a\u306e\u8a08\u7b97\u304b\u3089\uff0c\u7d4c\u8def\u306b\u3088\u3063\u3066\u4ed5\u4e8b\u306e\u5024\u304c\u7570\u306a\u308b\u7d50\u679c\u3068\u306a\u308a\u307e\u3057\u305f\u3002\u305d\u308c\u3086\u3048\u3053\u306e\u529b\u306f\u4fdd\u5b58\u529b\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3002\u4fdd\u5b58\u529b\u306f\u4f4d\u7f6e\u30a8\u30cd\u30eb\u30ae\u30fc\u3068\u95a2\u9023\u3057\u305f\u529b\u3067\u3059\u3002\u4f4d\u7f6e\u30a8\u30cd\u30eb\u30ae\u30fc\u306e\u52fe\u914d\u3068\u3057\u3066\uff0c\u5742\u3092\u4e0b\u308b\u65b9\u5411\u306b\u529b\u304c\u5b9a\u7fa9\u3055\u308c\u307e\u3059\u3002\u305d\u308c\u3086\u3048\u529b\u306b\u76f8\u5f53\u3059\u308b\u52fe\u914d\u3092\u4e0e\u3048\u308b\u7b49\u9ad8\u7dda\u304c\u8003\u3048\u3089\u308c\u306a\u3044\u3068\u4fdd\u5b58\u529b\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3002\u3053\u306e\u4f8b\u984c\u306e\u529b\u306f\u6e26\u3092\u5dfb\u3044\u3066\u3044\u307e\u3057\u305f\u3002\u6e26\u5dfb\u304d\u72b6\u306e\u529b\u3092\u4e0e\u3048\u308b\u7b49\u9ad8\u7dda\u3092\u5f15\u304f\u3053\u3068\u306f\u4e0d\u53ef\u80fd\u3067\u3059\u306d\u3002<\/p>\n<p><span style=\"color: #000099;\">\u7ae0\u672b\u306e\u6f14\u7fd2\u554f\u984c\uff16\u306e\uff16\u3067\u3001\u4fdd\u5b58\u529b\u3067\u3042\u308c\u3070\u3001\u4ed5\u4e8b\u306e\u4e00\u5468\u7a4d\u5206\u304c\u30bc\u30ed\u306b\u306a\u308b\u8a71\u304c\u3067\u3066\u304f\u308b\u3002\u305d\u306e\u3053\u3068\u306f\u3001\u529b\u30d9\u30af\u30c8\u30eb\u306e\u56de\u8ee2\u3068\u95a2\u4fc2\u3057\u3066\u3044\u308b\u306f\u305a\uff1f\u3053\u306e\u4f8b\u984c\u306f\u3001\u4e00\u5468\u7a4d\u5206\u304c\u30bc\u30ed\u3067\u306f\u306a\u3044\u3002\u529b\u304c\u6e26\u3092\u5dfb\u3044\u3066\u3044\u308b\u3053\u3068\u3068\u95a2\u4fc2\u3057\u3066\u305d\u3046\u3002\u3053\u306e\u4f8b\u984c\u306f\u6f14\u7fd2\u554f\u984c\uff16\u306e\uff16\u3068\u7d61\u3081\u3066\u8a71\u3057\u305f\u3044\u3002<span><\/p>\n<p><strong>\u4f8b\u984c 6.3<\/strong><\/p>\n<p><span style=\"color: #000099;\">\u3000\u8a08\u7b97\u304c\u5927\u5909\u3067\u3059\u304c\uff0c\u3053\u308c\u3092\u3084\u308a\u307e\u3059\u3002\u3044\u3064\u3082\u306e\u3053\u3068\u306a\u304c\u3089\u8a08\u7b97\u3060\u3051\u3067\u8b1b\u7fa9\u4e2d\u306b\u6642\u9593\u304c\u304b\u306a\u308a\u304b\u304b\u308a\u305d\u3046\u3002\u8a08\u7b97\u3092\u8b1b\u7fa9\u4e2d\u306b\u3084\u308b\u3053\u3068\u306f\u610f\u5473\u304c\u3042\u308b\u306e\u304b\u3068\u3088\u304f\u8003\u3048\u307e\u3059\u304c\uff0c\u8a08\u7b97\u3057\u306a\u3044\u3068\u8aac\u5f97\u529b\u304c\u7121\u3044\u3088\u3046\u306a\u6c17\u304c\u3057\u3066\uff0c\u3084\u306f\u308a\u3084\u308b\u3053\u3068\u306b\u306a\u308a\u307e\u3059\u3002\u3069\u3046\u8003\u3048\u308b\u3079\u304d\u304b\u3002<span><\/p>\n<p>\u3000\u554f\u984c\u306f\uff0c\u529b\u5b66\u7684\u30a8\u30cd\u30eb\u30ae\u30fc\u4fdd\u5b58\u5247\u306e\u5f0f\u3092\u5909\u5f62\u3057\u3066\uff0c\u6b21\u306e\u95a2\u4fc2\u5f0f\u3092\u5c0e\u3051\uff0c\u3068\u3044\u3046\u3082\u306e\u3067\u3059\u3002<\/p>\n<ol>\n<li>\u91cd\u529b\u306e\u3082\u3068\u3067\u925b\u76f4\u65b9\u5411\u306b\u904b\u52d5\u3059\u308b\u7269\u4f53\u306e\u9ad8\u3055 \\(z(t)\\) <br \/>\n\u3000\u3000\u3000\u3000\u3000\u3000\\(\\displaystyle z(t) = z_0 \\pm v_{0} \\, t-\\frac{1}{2} \\, g \\, t^2\\)<\/li>\n<li>\u9577\u3055 \\(\\ell\\) \u306e\u7cf8\u306b\u304a\u3082\u308a\u3092\u4ed8\u3051\u305f\u5358\u632f\u308a\u5b50\u306e\u904b\u52d5\u65b9\u7a0b\u5f0f<br \/>\n\u3000\u3000\u3000\u3000\u3000\u3000\\(\\displaystyle \\frac{d^2 \\theta}{d t^2} = &#8211; \\frac{g}{\\ell} \\, \\sin \\theta\\)<\/li>\n<\/ol>\n<p>1. \u306f\u4e0b\u8a18\u306e\u5f0f\u304b\u3089\u59cb\u3081\u3066<\/p>\n<ul>\\(\\displaystyle<br \/>\n\\frac{1}{2} \\, m \\, \\left( \\frac{d z}{d t} \\right)^2 + m \\, g \\, z = \\frac{1}{2} \\, m \\, v_{0}^2 + m \\, g \\, z_0<br \/>\n\\)<\/ul>\n<p> \\(z(t) = . . .\\) \u306e\u5f62\u306b\u5909\u5f62\u3057\u3066\u3044\u304d\u307e\u3059\u3002\u9014\u4e2d\u3067\u5909\u6570\u5206\u96e2\u3092\u4f7f\u3044\u307e\u3059\u3002\u8a08\u7b97\u306f\u6559\u79d1\u66f8\u306e\u307e\u307e\u306a\u306e\u3067\u6b64\u51e6\u306b\u66f8\u304d\u307e\u305b\u3093\u3002<\/p>\n<p>2. \u306f\u4e0b\u8a18\u306e\u5f0f\u304b\u3089\u59cb\u3081\u3066<\/p>\n<ul>\\(\\displaystyle<br \/>\n\\frac{1}{2} \\, m \\, \\left( \\ell \\, \\frac{d \\theta}{d t} \\right)^2 + m \\, g \\, \\ell \\, \\left( 1-\\cos \\theta \\right) = \\mathrm{\u4e00\u5b9a}<br \/>\n\\)<\/ul>\n<p>\u4e0a\u8a18\u306e\u4e21\u8fba\u3092\u6642\u9593\u3067\u5fae\u5206\u3057\u307e\u3059\u3002\u3053\u308c\u3082\u8a08\u7b97\u304c\u307b\u307c\u6559\u79d1\u66f8\u306e\u307e\u307e\u306a\u306e\u3067\u6b64\u51e6\u306b\u66f8\u304d\u307e\u305b\u3093\u3002<\/p>\n<p>\u3000\u305f\u3060\u6388\u696d\u3067\u306f\u30a8\u30cd\u30eb\u30ae\u30fc\u4fdd\u5b58\u5247\u3092\u6642\u9593\u3067\u5fae\u5206\u3057\u305f\u3089\u904b\u52d5\u65b9\u7a0b\u5f0f\u306b\u306a\u3063\u305f\u3053\u3068\u3092\u5f37\u8abf\u3057\u305f\u3044\u3002\u4f8b\u984c\u306e\u89e3\u7b54\u3068\u306f\u5225\u306b 1. \u306e\u30a8\u30cd\u30eb\u30ae\u30fc\u4fdd\u5b58\u5247\u306e\u5f0f\u3092\u6642\u9593\u3067\u5fae\u5206\u3059\u308b\u3053\u3068\u3092\u3084\u3063\u3066\u307f\u307e\u3059\u3002\u518d\u63b2\u3067\u3059\u304c<\/p>\n<ul>\\(\\displaystyle<br \/>\n\\frac{1}{2} \\, m \\, \\left( \\frac{d z}{d t} \\right)^2 + m \\, g \\, z = \\frac{1}{2} \\, m \\, v_{0}^2 + m \\, g \\, z_0<br \/>\n\\)<\/ul>\n<p>\u4e0a\u8a18\u306e\u4e21\u8fba\u3092\u6642\u9593\u3067\u5fae\u5206\u3057\u307e\u3059\u3002<\/p>\n<ul>\\(\\begin{eqnarray} \\displaystyle<br \/>\nm \\, \\left( \\frac{d z}{d t} \\right) \\, \\frac{d^2 z}{d t^2} + m \\, g \\, \\frac{d z}{d t} &#038;=&#038; 0\\\\<br \/>\nm \\, \\frac{d^2 z}{d t^2}  &#038;=&#038; &#8211; m \\,  g<br \/>\n\\end{eqnarray}\\)<\/ul>\n<p>\u3053\u3061\u3089\u3082\u5fae\u5206\u3059\u308b\u3053\u3068\u3067\u904b\u52d5\u65b9\u7a0b\u5f0f\u304c\u5f97\u3089\u308c\u307e\u3057\u305f\u30026 \u7ae0\u306e\u6700\u521d\u3067\u8a71\u3057\u305f\uff0c\u904b\u52d5\u65b9\u7a0b\u5f0f\u306e\u5143\u3068\u306a\u308b\u5f0f\u3068\u3057\u3066\u30a8\u30cd\u30eb\u30ae\u30fc\u4fdd\u5b58\u5247\u306e\u5f0f\u304c\u6319\u3052\u3089\u308c\u308b\u3068\u3044\u3046\u3053\u3068\u3067\u843d\u3061\u3092\u4ed8\u3051\u305f\u3044\u3002<\/p>\n<p>\u3000\u3060\u3044\u305f\u3044\u3053\u306e\u3042\u305f\u308a\u3067\u8b1b\u7fa9\u306f\u7d42\u4e86\u304b\u3068\u601d\u3044\u307e\u3059\u3002\u5f8c\u306f\u6f14\u7fd2\u3068\u671f\u672b\u8a66\u9a13\u3060\u3051\u3002<\/p>\n<p><!--\n<strong>6.1 \u4ed5\u4e8b<\/strong>\n<span style=\"color: #0000ff;\"><\/span>\n [latex][\/latex] \n\n\n\n<ul>[latex]\\displaystyle \n\n[\/latex]<\/ul>\n\n\n\n\n\n<ul>[latex]\\begin{eqnarray} \\displaystyle \na &=& - \\mu' \\,  g\\\\ \n  &=& - \\mu' \\,  g \\, t + C\n\\end{eqnarray}[\/latex]<\/ul>\n\n\n--><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u3000\u529b\u5b66\u306e\u6388\u696d\u3067\u3059\u3002\u6559\u79d1\u66f8\u306f\uff0c\u6c38\u7530\u4e00\u6e05\u8457\u300e\u65b0\u57fa\u790e\u529b\u5b66\u300f\u30b5\u30a4\u30a8\u30f3\u30b9\u793e\u3067\u3059\u3002 \u3000\u3053\u306e\u3046 &#8230; <a class=\"more-link\" href=\"http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/?page_id=14782\">Read More &raquo;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-14782","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/index.php?rest_route=\/wp\/v2\/pages\/14782","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/index.php?rest_route=\/wp\/v2\/pages"}],"about":[{"href":"http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/index.php?rest_route=\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=14782"}],"version-history":[{"count":13,"href":"http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/index.php?rest_route=\/wp\/v2\/pages\/14782\/revisions"}],"predecessor-version":[{"id":14796,"href":"http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/index.php?rest_route=\/wp\/v2\/pages\/14782\/revisions\/14796"}],"wp:attachment":[{"href":"http:\/\/zairyo.susi.oita-u.ac.jp\/wordpress\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=14782"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}