{"id":30412,"date":"2020-10-16T00:00:20","date_gmt":"2020-10-15T15:00:20","guid":{"rendered":"https:\/\/www.toshin-aobadai.com\/?p=30412"},"modified":"2020-10-28T10:28:05","modified_gmt":"2020-10-28T01:28:05","slug":"%e3%80%90%e5%8a%9b%e5%ad%a6%e3%80%912%e8%b3%aa%e7%82%b9%e7%b3%bb%e3%81%ae%e9%81%8b%e5%8b%95%e3%81%9d%e3%81%ae%ef%bc%92","status":"publish","type":"post","link":"https:\/\/www.toshin-aobadai.com\/mechanics\/two_bodies\/2","title":{"rendered":"\u3010\u529b\u5b66\u30112\u8cea\u70b9\u7cfb\u306e\u904b\u52d5\u305d\u306e\uff12"},"content":{"rendered":"

\u7686\u3055\u3093\u3053\u3093\u306b\u3061\u306f\u3002<\/span><\/p>\r\n

\u62c5\u4efb\u52a9\u624b1\u5e74\u306e\u4e2d\u6751\u7950\u8cb4\u3067\u3059\u3002<\/span><\/p>\r\n

\u9032\u6357\u3044\u304b\u304c\u3067\u3057\u3087\u3046\u304b\u3002<\/span><\/p>\r\n

\u3055\u3066\uff0c\u524d\u56de\u304a\u5c4a\u3051\u3057\u305f\u3010\u529b\u5b66\u30112\u8cea\u70b9\u7cfb\u306e\u904b\u52d5\u305d\u306e\uff11<\/a>\u53d6\u308a\u7d44\u3093\u3067\u3044\u305f\u3060\u3051\u307e\u3057\u305f\u3067\u3057\u3087\u3046\u304b\u3002<\/span>
\r\n \u307e\u3060\u306e\u65b9\u306f\u305d\u3061\u3089\u3092\u5148\u306b\u3069\u3046\u305e\u3002<\/span><\/p>\r\n

\u524d\u56de\u6271\u3063\u305f\u5f3e\u6027\u885d\u7a81\u306e\u53cd\u767a\u4fc2\u6570\uff08\u306f\u306d\u304b\u3048\u308a\u4fc2\u6570\uff09\u304c
\r\n 1\u3067\u3042\u308b\u3053\u3068\u306e\u610f\u5473\u306b\u3064\u3044\u3066\uff0c<\/span>\u5c11\u3057\u8003\u3048\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/span><\/p>\r\n

\u307e\u305a\uff0c\u53cd\u767a\u4fc2\u6570\u306e\u5b9a\u7fa9\u306f\u4f55\u3067\u3057\u305f\u3067\u3057\u3087\u3046\u304b\u3002<\/span><\/p>\r\n

\u00a0<\/p>\r\n

 <\/p>\r\n

 <\/p>\r\n

\u305d\u3046\u3067\u3059\u306d\u3002<\/span><\/p>\r\n

 <\/p>\r\n

\u885d\u7a81\u524d\u5f8c\u306e\u76f8\u5bfe\u901f\u3055\u306e\u6bd4\u3067\u3059\u306d\u3002<\/span><\/p>\r\n

 <\/p>\r\n

\u3059\u306a\u308f\u3061\uff0c\u885d\u7a81\u76f4\u524d\u306e\u7269\u4f53\uff11\u53ca\u3073\u7269\u4f53\uff12\u306e\u901f\u5ea6\u304c\"\\begin{align*}\r\nv_1,v_2\r\n\\end{align*}\"\uff0c<\/span>
\r\n \u885d\u7a81\u76f4\u5f8c\u306e\u901f\u5ea6\u304c\"\\begin{align*}\r\n{v_1}',{v_2}'\r\n\\end{align*}\"\u3068\u3059\u308b\u3068\uff0c<\/span>
\r\n \u885d\u7a81\u76f4\u524d\u306e\u7269\u4f53\uff11\u304b\u3089\u898b\u305f\u7269\u4f53\uff12\u306e\u76f8\u5bfe\u901f\u5ea6\"\\begin{align*}\r\nv_r\r\n\\end{align*}\"\u304a\u3088\u3073<\/span>
\r\n \u885d\u7a81\u76f4\u5f8c\u306e\u7269\u4f53\uff11\u304b\u3089\u898b\u305f\u7269\u4f53\uff12\u306e\u76f8\u5bfe\u901f\u5ea6\"\\begin{align*}\r\n{v_r}'\r\n\\end{align*}\"\u306f\uff0c<\/span><\/p>\r\n

\"\\begin{eqnarray*}\r\nv_r&=&v_2-v_1\\\\\r\n{v_r}'&=&{v_2}'-{v_1}'\r\n\\end{eqnarray*}\"<\/span><\/p>\r\n

\u3067\u8868\u3055\u308c\u308b\u306e\u3067\uff0c
\r\n <\/span>\u885d\u7a81\u524d\u5f8c\u3067\"\\begin{align*}\r\nv_r\r\n\\end{align*}\"\u3068\"\\begin{align*}\r\n{v_r}'\r\n\\end{align*}\"\u306e\u76f8\u5bfe\u901f\u5ea6\u306e\u7b26\u53f7\u306f\u660e\u3089\u304b\u306b\u9006\u8ee2\u3059\u308b
\r\n <\/span>\uff08\u81ea\u5206\u306e\u8996\u70b9\u3067\u8003\u3048\u308b\u3068\u81ea\u5206\u306b\u5bfe\u3057\u3066\u7a81\u3063\u8fbc\u3093\u3067\u304d\u305f\u3084\u3064\u306f
\r\n <\/span>\u885d\u7a81\u3057\u305f\u3089\u9006\u65b9\u5411\u306b\u98db\u3093\u3067\u3044\u304f\uff09\u305f\u3081\uff0c
\r\n \u53cd\u767a\u4fc2\u6570\"\\begin{eqnarray*}\r\ne\r\n\\end{eqnarray*}\"\u306f\u6b21\u306e\u3088\u3046\u306b\u5b9a\u7fa9\u3067\u304d\u307e\u3059\u3002<\/span><\/p>\r\n

\"\\begin{eqnarray*}\r\ne=\\textcolor[rgb]{1,0.4,0.4}{-}\\frac{{v_r}'}{v_r}=\\textcolor[rgb]{1,0.4,0.4}{-}\\frac{{v_2}'-{v_1}'}{v_2-v_1}\r\n\\end{eqnarray*}\"<\/span><\/p>\r\n

\u3053\u3053\u307e\u3067\u307f\u3066\u308f\u304b\u308b\u3088\u3046\u306b\uff0c
\r\n \u53cd\u767a\u4fc2\u6570\u304c1\u3067\u3042\u308b\u3068\u306f\u76f8\u5bfe\u901f\u3055\u304c\u4e0d\u5909\u3067
\r\n \u76f8\u5bfe\u901f\u5ea6\u306e\u7b26\u53f7\u306e\u307f\u304c\u5909\u5316\u3059\u308b\u3068\u3044\u3046\u3053\u3068\u3067\u3059\u3002
\r\n <\/span><\/p>\r\n

\u3053\u308c\u306f\u975e\u5e38\u306b\u91cd\u8981\u306a\u3053\u3068\u306a\u306e\u3067\uff0c
\r\n \u3057\u3063\u304b\u308a\u3068\u982d\u306b\u5165\u308c\u3066\u304a\u3044\u3066\u304f\u3060\u3055\u3044\u3002<\/span><\/p>\r\n

\u3068\u3053\u308d\u3067\uff0c\u3053\u306e\u76f8\u5bfe\u901f\u5ea6\u306f\u5c11\u3057\u5225\u306a\u898b\u65b9\u3092\u3059\u308b\u3053\u3068\u3067
\r\n \u3088\u308a\u6df1\u3044\u8003\u5bdf\u304c\u5f97\u3089\u308c\u307e\u3059\u3002<\/span><\/p>\r\n

\u305d\u308c\u306f\uff0c\u91cd\u5fc3\u3092\u57fa\u6e96\u306b\u8003\u3048\u308b\u3053\u3068\u3067\u3059\u3002<\/span><\/p>\r\n

\u305d\u3082\u305d\u3082\u91cd\u5fc3\u3068\u306f\u4f55\u3060\u3063\u305f\u3067\u3057\u3087\u3046\u304b\uff1f
\r\n \u3053\u3053\u30672\u8cea\u70b9\u306e\u904b\u52d5\u65b9\u7a0b\u5f0f\u3092\u8003\u3048\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/span><\/p>\r\n

\u904b\u52d5\u65b9\u7a0b\u5f0f\u306f\uff0c<\/span><\/p>\r\n

\"\\begin{eqnarray*}\r\nm_1a_1&=&F_{1,2}<\/p>\r\n

\u3068\u306a\u308a\u307e\u3059\u3002
\r\n \u3053\u3053\u306b\uff0c\"\\begin{eqnarray*}\r\nF_{1,2}\r\n\\end{eqnarray*}\"\u306f\u7269\u4f53\uff11\u304c\u7269\u4f53\uff12\u304b\u3089\u53d7\u3051\u308b\u5185\u529b\uff0c
\r\n \u540c\u69d8\u306b\"\\begin{eqnarray*}\r\nF_{2,1}\r\n\\end{eqnarray*}\"\u306f\u7269\u4f53\uff12\u304c\u7269\u4f53\uff11\u304b\u3089\u53d7\u3051\u308b\u5185\u529b\u3067
\r\n \u3053\u308c\u3089\u306f\u4f5c\u7528\u30fb\u53cd\u4f5c\u7528\u306e\u95a2\u4fc2\u306b\u3042\u308a\u307e\u3059\u3002<\/span><\/p>\r\n

\u307e\u305f\uff0c\"\\begin{eqnarray*}\r\nF_{1,ex}\r\n\\end{eqnarray*}\"\u3084\"\\begin{eqnarray*}\r\nF_{2,ex}\r\n\\end{eqnarray*}\"\u306f\u305d\u308c\u305e\u308c\u7269\u4f53\uff11\u3084\u7269\u4f53\uff12\u304c
\r\n \u7cfb\u306e\u5916\u304b\u3089\u53d7\u3051\u308b\u5916\u529b\uff08external force\uff09\u3067\u3059\u3002<\/span><\/p>\r\n

\u304a\u305d\u3089\u304f\uff0c\u7686\u3055\u3093\u306e\u591a\u304f\u306f\uff0c\u3067\u3069\u3046\u3059\u3093\u306e\uff1f
\r\n <\/span>\u3068\u601d\u308f\u308c\u3066\u3044\u308b\u3053\u3068\u3067\u3057\u3087\u3046\u3002
\r\n <\/span>\u305d\u3082\u305d\u3082\u885d\u7a81\u6642\u306e\u5185\u529b\u306f\u7279\u306b\u6483\u529b\u3068\u3088\u3070\u308c\u308b
\r\n \u975e\u5e38\u306b\u5927\u304d\u306a\u529b\u3067\u3059\u304b\u3089\uff0c\u3053\u308c\u3092\u6c42\u3081\u308b\u306e\u306f\u96e3\u3057\u3044\u3067\u3059\u3002
\r\n
\r\n \u305d\u3053\u3067\"\\begin{eqnarray*}\r\nF_{1,2}\r\n\\end{eqnarray*}\"\u3068\"\\begin{eqnarray*}\r\nF_{2,1}\r\n\\end{eqnarray*}\"\u304c\u4f5c\u7528\u30fb\u53cd\u4f5c\u7528\u306e\u95a2\u4fc2\u306b\u3042\u308b\u3053\u3068\u3092\u8003\u3048\u308b\u3068\uff0c<\/span><\/p>\r\n

\"\\begin{eqnarray*}\r\nF_{1,2}=-F_{2,1}\r\n\\end{eqnarray*}\"
\r\n \u304c\u6210\u7acb\u3057\u3066\u3044\u308b\u308f\u3051\u3067\u3059\u304b\u3089\uff0c
\r\n \u5148\u307b\u3069\u306e2\u5f0f\u3092\u3069\u3046\u3057\u305f\u3089\u3088\u3055\u305d\u3046\u3067\u3059\u304b\uff1f\uff1f
\r\n
\r\n
\r\n
\r\n
\r\n
\r\n
\r\n \u305d\u3046\u3067\u3059\u306d\u3002
\r\n \"\\begin{eqnarray*}\r\nF_{1,2}+F_{2,1}=0\r\n\\end{eqnarray*}\"
\r\n \u3068\u306a\u308b\u306e\u3067\u3059\u304b\u3089\uff0c\u8fba\u3005\u8db3\u3059\u306e\u304c\u3088\u3055\u305d\u3046\u3067\u3059\u306d\u3002
\r\n (1)+(2)\u306b\u3088\u308a\uff0c
\r\n <\/span><\/p>\r\n

\"\\begin{eqnarray*}\r\nm_1a_1
\r\n \u304c\u5f97\u3089\u308c\u307e\u3059\u3002\u3053\u306e\u307e\u307e\u3067\u3082\u3088\u3044\u306e\u3067\u3059\u304c\uff0c
\r\n (1)+(2)=(3)\u306f\uff12\u3064\u306e\u7269\u4f53\u3092\uff11\u3064\u306e\u30bb\u30c3\u30c8\u3068\u307f\u306a\u3057\u3066
\r\n \u9023\u7acb\u65b9\u7a0b\u5f0f\u3092\u7acb\u3066\u305f\u3053\u3068\u306b\u76f8\u5f53\u3059\u308b\u306e\u3067\uff0c
\r\n \u305d\u306e\u3053\u3068\u304c\u3088\u308a\u4f1d\u308f\u308b\u8868\u5f0f\u306b\u76f4\u3057\u3066\u307f\u307e\u3057\u3087\u3046\u3002
\r\n \u3059\u306a\u308f\u3061\uff0c\"\\begin{eqnarray*}\r\nm_{total}=m_{1}+m_{2}\r\n\\end{eqnarray*}\"\u3092\u7528\u3044\u3066\uff0c
\r\n \"\\begin{eqnarray*}\r\nm_{total}\\cdot\\frac{m_1a_1
\r\n \u3068\u66f8\u304d\u8868\u305b\u308b\u306e\u3067\uff0c\u3053\u3053\u3067\u91cd\u5fc3G\u306e\u5ea7\u6a19\u3092<\/span><\/p>\r\n

\"\\begin{eqnarray*}\r\nx_G=\\frac{m_1x_1+m_1x_2}{m_{total}}\r\n\\end{eqnarray*}\"<\/span><\/p>\r\n

\u3067\u5b9a\u3081\u308b\u3068\uff0c\u91cd\u5fc3\u52a0\u901f\u5ea6\"\\begin{eqnarray*}\r\na_G\r\n\\end{eqnarray*}\"\u304c<\/span><\/p>\r\n

\"\\begin{eqnarray*}\r\na_G=\\frac{m_1a_1+m_1a_2}{m_{total}}\r\n\\end{eqnarray*}\"
\r\n \u3068\u306a\u308a\u307e\u3059\u304b\u3089(3)\u5f0f\u306f\u7d50\u5c40\uff0c
\r\n \"\\begin{eqnarray*}\r\nm_{total}a_G&=&F_{1,ex}+F_{2,ex}\r\n\\end{eqnarray*}\"
\r\n \u3068\u66f8\u304d\u63db\u3048\u3089\u308c\u308b\u308f\u3051\u3067\u3059\u3002
\r\n
\r\n \u3053\u308c\u306f\u4f55\u3092\u610f\u5473\u3057\u3066\u3044\u308b\u306e\u3067\u3057\u3087\u3046\u304b\u3002
\r\n \u305d\u3046\u3067\u3059\u306d\u3002\u91cd\u5fc3\u306e\u904b\u52d5\u306f\uff0c\u305d\u308c\u305e\u308c\u306e\u7269\u4f53\u306b\u304b\u304b\u308b\u5916\u529b\u304c
\r\n \u3042\u305f\u304b\u3082\u3059\u3079\u3066\u91cd\u5fc3\uff11\u70b9\u306b\u304b\u304b\u3063\u3066\u3044\u308b\u3068\u8003\u3048\u305f\u3068\u304d\u306e
\r\n \u904b\u52d5\u306b\u4ed6\u306a\u3089\u306a\u3044\u308f\u3051\u3067\u3059\u3002
\r\n
\r\n \u306a\u308b\u307b\u3069\u3002\u7279\u306b\u5916\u529b\u304c\uff10\u306e\u6642\u306f\uff0c\u91cd\u5fc3\u52a0\u901f\u5ea6\u306f\uff10\uff0c
\r\n \u3059\u306a\u308f\u3061\u91cd\u5fc3\u901f\u5ea6\u4e0d\u5909\u3068\u3044\u3046\u3053\u3068\u306a\u306e\u3067\u3059\uff01\uff01
\r\n \u8d85\u91cd\u8981
\r\n
\r\n \u3048\uff0c\u3067\u3082\u5f85\u3063\u3066\uff1f
\r\n \u3053\u308c\u3063\u3066\u904b\u52d5\u91cf\u4fdd\u5b58\u3068\u540c\u3058\u3058\u3083\u306a\u3044\uff1f\u3068\u601d\u3063\u305f\u65b9\uff0c
\r\n \u7d20\u6674\u3089\u3057\u3044\u3067\u3059\u3002
\r\n \u305d\u306e\u901a\u308a\u3067\u3059\u3002
\r\n \"\\begin{eqnarray*}\r\nv_G&=&\\frac{m_1v_1+m_1v_2}{m_{total}}=const.\r\n\\end{eqnarray*}\"
\r\n \uff08const.\u306fconstant\u306e\u7565\u3067\u5b9a\u6570\u306e\u610f\uff09\u306a\u306e\u3067\u3059\u304b\u3089\uff0c
\r\n \"\\begin{eqnarray*}\r\n{m_1v_1+m_1v_2}=const.\r\n\\end{eqnarray*}\"
\r\n \u3068\u540c\u3058\u3053\u3068\u3067\u3059\u304b\u3089\u306d\u3002\uff08\u8cea\u91cf\u306f\u52ff\u8ad6\u5b9a\u6570\u3067\u3059\uff01\uff01\uff09
\r\n
\r\n \u904b\u52d5\u91cf\u4fdd\u5b58\u3082\u5b9f\u306f\u3053\u308c\u3068\u540c\u69d8\u306b\u3057\u3066\u5c0e\u304b\u308c\u308b\u306e\u3067\uff0c
\r\n \u91cd\u5fc3\u901f\u5ea6\u4e00\u5b9a\u304b\u904b\u52d5\u91cf\u4fdd\u5b58\u304b\u3069\u3061\u3089\u306e\u8a00\u8449\u3092\u4f7f\u3063\u3066\u3082\u69cb\u3044\u307e\u305b\u3093\u3002
\r\n
\r\n \u5c11\u3057\u9577\u304f\u306a\u3063\u3066\u3057\u307e\u3063\u305f\u306e\u3067\uff0c
\r\n \u4eca\u56de\u306f\u3053\u3053\u3067\u533a\u5207\u308a\u307e\u3057\u3087\u3046\u3002
\r\n
\r\n \u7d9a\u7de8\u306f\u4eca\u56de\u3084\u3063\u305f\u3053\u3068\u3092\u3082\u3068\u306b
\r\n \u91cd\u5fc3\u304b\u3089\u898b\u305f\u76f8\u5bfe\u901f\u5ea6\u306e\u8b70\u8ad6\u3092\u6df1\u3081\u307e\u3059\u3002
\r\n \u8fd1\u65e5\u516c\u958b\u3068\u3044\u3046\u3053\u3068\u3067\u3002
\r\n
\r\n \u8cea\u554f\u306f\u3044\u3064\u3067\u3082\u53d7\u3051\u4ed8\u3051\u3066\u3044\u308b\u306e\u3067\u6c17\u8efd\u306b\u3069\u3046\u305e\u3002
\r\n
\r\n \u3055\u3066\uff0c\u4eca\u6708\u306e\u30d6\u30ed\u30b0\u306f\u751f\u304d\u304c\u3044\u304c\u30c6\u30fc\u30de\u3067\u3057\u305f\u304c\uff0c
\r\n \u79c1\u306e\u3044\u307e\u306e\u751f\u304d\u304c\u3044\u306f\u5c11\u3057\u3067\u3082\u5b9f\u529b\u3092\u3064\u3051\u3066
\r\n \u5c06\u6765\u793e\u4f1a\u306b\u3088\u308a\u8ca2\u732e\u3067\u304d\u308b\u3088\u3046\u306b\u3059\u308b\u3053\u3068\u3067\u3059\u306d\u3002
\r\n
\r\n \u65bd\u3055\u308c\u305f\u3089\u65bd\u3057\u8fd4\u3059\u3002
\r\n \u6069\u8fd4\u3057\u3067\u3059\uff01(\u7b11)
\r\n
\r\n \u3067\u3082\u672c\u5f53\u306b\u3053\u308c\u304b\u3089\u306e\u793e\u4f1a\u3092\u4f5c\u3063\u3066\u3044\u304f\u306e\u306f\u6211\u3005\u306a\u306e\u3067\uff0c
\r\n \u3057\u3063\u304b\u308a\u3068\u7cbe\u9032\u3057\u3066\u307e\u3044\u308a\u307e\u3057\u3087\u3046\u3002
\r\n
\r\n \u3067\u306f\uff0c\u52c9\u5f37\u9811\u5f35\u3063\u3066\u304f\u3060\u3055\u3044\u3002
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\r\n \u6a2a\u6d5c\u56fd\u7acb\u5927\u5b66\u7406\u5de5\u5b66\u90e8
\r\n \u62c5\u4efb\u52a9\u624b1\u5e74\u3000\u4e2d\u6751 \u7950\u8cb4<\/span><\/p>\r\n

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\"\"<\/a><\/p>\r\n

\"\"<\/a> \"\"<\/a>\u00a0 \"\"<\/a> \"\"<\/a><\/p>\r\n<\/div>\r\n

\u00a0<\/span><\/p>\r\n

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