{"id":46390,"date":"2013-11-19T08:58:25","date_gmt":"2013-11-19T00:58:25","guid":{"rendered":"http:\/\/highscope.ch.ntu.edu.tw\/wordpress\/?p=46390"},"modified":"2021-10-06T16:19:16","modified_gmt":"2021-10-06T08:19:16","slug":"%e5%81%87%e6%83%b3%e5%8a%9bfictitious-force-also-pseudo-force-inertial-force%e6%85%a3%e6%80%a7%e5%8a%9b","status":"publish","type":"post","link":"http:\/\/localhost\/%e5%81%87%e6%83%b3%e5%8a%9bfictitious-force-also-pseudo-force-inertial-force%e6%85%a3%e6%80%a7%e5%8a%9b\/","title":{"rendered":"\u5047\u60f3\u529b(fictitious force, also pseudo force, inertial force(\u6163\u6027\u529b))"},"content":{"rendered":"

\u5047\u60f3\u529b(fictitious force, also pseudo force, inertial force(\u6163\u6027\u529b))<\/strong><\/span>
\n\u570b\u7acb\u81fa\u7063\u5927\u5b78\u7269\u7406\u6240\u9ec3\u4e00\u7384<\/strong><\/span><\/p>\n

\u4ee5\u975e\u6163\u6027\u5ea7\u6a19\u7cfb\u63cf\u8ff0\u904b\u52d5\u6642\uff0c\u7269\u9ad4\u4e26\u4e0d\u9075\u5b88\u725b\u9813\u904b\u52d5\u5b9a\u5f8b\u3002\u70ba\u4e86\u4f7f\u725b\u9813\u904b\u52d5\u5b9a\u5f8b\u770b\u8d77\u4f86\u4ecd\u80fd\u6210\u7acb\uff0c\u6211\u5011\u53ea\u597d\u591a\u5f15\u5165\u5047\u60f3\u529b\u7684\u6982\u5ff5\uff0c\u6b64\u5047\u60f3\u529b\u5b8c\u5168\u4e0d\u662f\u56e0\u70ba\u7269\u9ad4\u9593\u6709\u5be6\u8cea\u7684\u4ea4\u4e92\u4f5c\u7528\u800c\u7522\u751f\u3002\u5728\u65cb\u8f49\u5ea7\u6a19\u7cfb\u4e2d\uff0c\u5047\u60f3\u529b\u5305\u542b\u96e2\u5fc3\u529b\u8ddf\u79d1\u6c0f\u529b\u3002<\/p>\n

\u4f8b\u4e00\uff1a<\/strong><\/span>
\n\u5047\u60f3\u5750\u5728\u8f4e\u8eca\u4e2d\u7684\u4e58\u5ba2\uff0c\u65bc\u6c7d\u8eca\u7a81\u7136\u555f\u52d5\u6642\uff0c\u4e58\u5ba2\u611f\u89ba\u5230\u8eab\u9ad4\u4f3c\u4e4e\u88ab\u5411\u5f8c\u62cb\u3001\u80cc\u90e8\u8ddf\u8457\u7dca\u8cbc\u4f4f\u5ea7\u6905\uff1b\u800c\u7576\u884c\u8eca\u9a5f\u7136\u505c\u6b62\u6642\uff0c\u4e58\u5ba2\u611f\u53d7\u5230\u4e00\u500b\u5f80\u524d\u7684\u885d\u529b\uff1b\u6025\u8f49\u5f4e\u6642\uff0c\u8eab\u9ad4\u5247\u6703\u5074\u5411\u5f80\u8f49\u5f4e\u5916\u5074\u62cb\u7529\u3002<\/p>\n

\u4f8b\u4e8c\uff1a<\/strong><\/span>
\n\u5982\u5716\u4e00\uff0c\u60f3\u50cf\u4f60\u662f\u611b\u8389\u7d72\uff0c\u5403\u4e86\u7e2e\u5c0f\u8611\u83c7\u4e4b\u5f8c\u6389\u5165\u760b\u5b50\u54c8\u7279(Mad Hatter)\u652a\u62cc\u4e2d\u7684\u8336\u676f\uff0c\u4f60\u8ddf\u6c34\u6d41\u65b9\u5411\u540c\u6b65\uff0c\u88ab\u6c34\u6d41\u5e36\u8457\u8d70\uff0c\u4f60\u6703\u770b\u5230\u8eab\u65c1\u7684\u6c34\u662f\u975c\u6b62\u7684\uff0c\u800c\u6574\u500b\u676f\u5b50\u5247\u662f\u53cd\u5411\u65cb\u8f49\u3002\u5728\u63a5\u8fd1\u5e95\u90e8\u7684\u5730\u65b9\uff0c\u6c34\u6709\u8ddf\u8457\u676f\u5e95\u4e00\u8d77\u904b\u52d5\u7684\u7279\u6027\uff0c\u6240\u4ee5\u5c0d\u611b\u8389\u7d72\u4f86\u8aaa\uff0c\u9019\u4e9b\u6c34\u6709\u4e00\u500b\u5713\u5468\u904b\u52d5\u7684\u901f\u5ea6\u3002\u4f34\u96a8\u8457\u9019\u500b\u901f\u5ea6\u7684\u79d1\u6c0f\u529b\u6703\u6307\u5411\u676f\u5b50\u4e2d\u592e\uff0c\u65bc\u662f\u8336\u8449\u9806\u8457\u6c34\u6d41\u88ab\u63a8\u5411\u676f\u5e95\u4e2d\u592e\u805a\u96c6\u8d77\u4f86\u3002\u6b64\u5916\uff0c\u611b\u8389\u7d72\u9084\u6703\u767c\u73fe\u6c34\u9762\u4e0d\u662f\u5e73\u7684\uff0c\u800c\u662f\u5448\u5916\u9ad8\u5167\u4f4e\u7684\u62cb\u7269\u9762\u72c0\uff0c\u9019\u662f\u56e0\u70ba\u5c0d\u5979\u4f86\u8aaa\u5468\u906d\u7684\u6c34\u6703\u611f\u53d7\u5230\u96e2\u5fc3\u529b\uff0c\u800c\u5c07\u6c34\u5f80\u5916\u62cb\u53bb\uff0c\u7d50\u679c\u5916\u7de3\u5c31\u6703\u7d2f\u7a4d\u8f03\u9ad8\u7684\u6c34\u4f4d\u3002<\/p>\n

\"005\"<\/a>

\u5716\u4e00 \u611b\u8389\u7d72\u88ab\u6c34\u6d41\u5e36\u8457\u8d70\uff0c\u5979\u6703\u770b\u5230\u8eab\u65c1\u7684\u6c34\u662f\u975c\u6b62\u7684\uff0c\u4f46\u6574\u500b\u676f\u5b50\u5247\u662f\u53cd\u5411\u65cb\u8f49\u3002 (\u9673\u7fa9\u88d5\u7e6a)<\/p><\/div>\n

<\/p>\n

\u4f8b\u4e09\uff1a<\/strong><\/span>
\n\u8003\u616e\u5169\u500b\u4eba $$A$$ \u8ddf $$B$$\uff0c \u5404\u81ea\u8655\u65bc\u67d0\u500b\u5ea7\u6a19\u7cfb\u4e2d\uff0c\u5176\u4e2d $$A$$ \u7684\u5ea7\u6a19\u7cfb\u7528 $$(x,y,z)$$ \u8868\u793a\uff0c$$B$$ \u7528 $$(x’,y’,z’)$$ \u8868\u793a\uff0c\u5047\u8a2d\u5169\u5ea7\u6a19\u7cfb\u53ef\u7528\u4e0b\u5f0f\u9023\u7d50\uff1a<\/p>\n

$$x=x’+s(t),~~~y=y’,~~~z=z’$$<\/p>\n

\u82e5\u5c0d\u65bc\u800c\u8a00\u7269\u7406\u5b9a\u5f8b\u5c55\u73fe\u51fa\u4f86\u7684\u5f62\u5f0f\u662f\u6211\u5011\u6240\u719f\u6089\u7684 $$F=ma$$\uff0c\u5247\u5c0d $$B$$ \u800c\u8a00\uff0c\u6211\u5011\u6709\uff1a<\/p>\n

\u901f\u5ea6\u516c\u5f0f\uff1a$$\\displaystyle \\frac{\\mathrm{d}x}{\\mathrm{d}t}=\\frac{\\mathrm{d}x’}{\\mathrm{d}t}+\\frac{\\mathrm{d}s}{\\mathrm{d}t},~~~\\frac{\\mathrm{d}y}{\\mathrm{d}t}=\\frac{\\mathrm{d}y’}{\\mathrm{d}t},~~~\\frac{\\mathrm{d}z}{\\mathrm{d}t}=\\frac{\\mathrm{d}z’}{\\mathrm{d}t}$$<\/p>\n

$$\\Rightarrow$$\u52a0\u901f\u5ea6\u516c\u5f0f\uff1a$$\\displaystyle \\frac{\\mathrm{d}^2x}{\\mathrm{d}t^2}=\\frac{\\mathrm{d}^2x’}{\\mathrm{d}t^2}+\\frac{\\mathrm{d}^2s}{\\mathrm{d}t^2},~~~\\frac{\\mathrm{d}^2y}{\\mathrm{d}t^2}=\\frac{\\mathrm{d}^2y’}{\\mathrm{d}t^2},~~~\\frac{\\mathrm{d}^2z}{\\mathrm{d}t^2}=\\frac{\\mathrm{d}^2z’}{\\mathrm{d}t^2}$$<\/p>\n

\u5982\u679c $$s(t)$$ \u662f\u5e38\u6578\uff0c\u90a3 $$\\mathrm{d}s\/\\mathrm{d}t=0$$\uff0c$$\\mathrm{d}^2s\/\\mathrm{d}t^2=0$$\u00a0\u53d7\u529b\u70ba\u96f6\uff0c\u6240\u4ee5\u5169\u5ea7\u6a19\u7cfb\u90fd\u9075\u5b88\u76f8\u540c\u7684\u529b\u5b78\u5b9a\u5f8b\uff1a$$F=ma=ma’$$\u3002\u5982\u679c $$s=ut$$\uff0c\u5176\u4e2d $$u$$\u00a0\u662f\u5e38\u6578\uff0c\u5247\u8868\u793a $$B$$\u00a0\u5ea7\u6a19\u7cfb\u76f8\u5c0d\u65bc\u5ea7\u6a19\u7cfb\u800c\u8a00\u662f\u4ee5\u5b9a\u901f\u79fb\u52d5\uff0c\u5f9e $$\\mathrm{d}s\/\\mathrm{d}t=0$$\uff0c$$\\mathrm{d}^2s\/\\mathrm{d}t^2=0$$\uff0c\u53ef\u77e5\u53d7\u529b\u4ecd\u70ba\u96f6\uff0c\u6545\u4ecd\u9075\u5b88\u76f8\u540c\u7269\u7406\u5b9a\u5f8b\u3002<\/p>\n

\u4f46\u5982\u679c $$s=\\displaystyle\\frac{1}{2}a_0t^2$$\uff0c\u5176\u4e2d $$a_0$$\u00a0\u662f\u5e38\u6578\uff0c\u5247 $$\\displaystyle\\frac{\\mathrm{d}s}{\\mathrm{d}t}=a_0t,~\\frac{\\mathrm{d}^2s}{\\mathrm{d}t^2}=a_0$$\uff0c<\/p>\n

\u6b64\u4e43\u5747\u52fb\u52a0\u901f\u5ea6\uff0c\u5247 $$\\displaystyle\\frac{\\mathrm{d}^2s}{\\mathrm{d}t^2}=a_0\\ne 0$$\u00a0\uff0c<\/p>\n

\u9019\u6642\u5c0d $$A$$ \u800c\u8a00\uff1a\u4f5c\u7528\u529b\u7684 $$x$$ \u5206\u91cf $$F_x=\\displaystyle m\\frac{\\mathrm{d}^2 x}{\\mathrm{d}t^2}$$<\/p>\n

\u4f46\u5c0d $$B$$ \u800c\u8a00\uff1a\u4f5c\u7528\u529b\u7684 $$x’$$ \u5206\u91cf $$F_{x’}=\\displaystyle m\\frac{\\mathrm{d}^2x’}{\\mathrm{d}t^2}-ma_0$$<\/p>\n

\u4ea6\u5373\uff0c\u539f\u672c\u725b\u9813\u5b9a\u5f8b\u4e2d\u6703\u984d\u5916\u5192\u51fa\u4e00\u9805 $$-ma_0$$\u3002\u9019\u5c0d\u800c\u8a00\uff0c\u5c31\u50cf\u662f\u4e00\u500b\u627e\u4e0d\u5230\u4f5c\u7528\u6e90\u7684\u529b\uff0c\u6240\u4ee5\u5c31\u88ab\u7a31\u70ba\u5047\u60f3\u529b\u3002\u6ce8\u610f\u5230\u5047\u60f3\u529b\u7684\u5927\u5c0f\u7e3d\u662f\u8ddf\u53d7\u529b\u7269\u9ad4\u7684\u8cea\u91cf\u6210\u6b63\u6bd4\u3002<\/p>\n

\u00a0\u4f8b\u56db\uff1a<\/strong><\/span>
\n\u5728\u9ad8\u901f\u65cb\u8f49\u7684\u96e2\u5fc3\u6a5f\u4e2d\uff0c\u82e5\u63a1\u7528\u548c\u96e2\u5fc3\u6a5f\u4e00\u8d77\u65cb\u8f49\u7684\u5ea7\u6a19\u7cfb\u4f86\u5206\u6790\u554f\u984c\uff0c\u5247\u5716\u4e8c\u8a66\u7ba1\u7684\u6c34\u4f4d\u53d7\u5230\u96e2\u5fc3\u529b\u5f71\u97ff\uff0c\u8207\u91cd\u529b\u7684\u5408\u529b\u4f7f\u5f97\u8a66\u7ba1\u6c34\u9762\u8207\u5730\u9762\u91cd\u529b\u65b9\u5411\u7dad\u6301\u4e00\u5b9a\u89d2\u5ea6\uff0c\u5728\u6975\u9ad8\u901f\u72c0\u6cc1\u4e0b\u53ef\u63a5\u8fd1\u5782\u76f4\u9762\u3002\u800c\u6db2\u9ad4\u4e2d\u7684\u7c92\u5b50\u5247\u53d7\u5230\u96e2\u5fc3\u529b\u5f80\u7ba1\u58c1\u4e00\u7aef\u63a8\uff0c\u6700\u5f8c\u6c89\u7a4d\u5728\u7ba1\u58c1\u3002<\/p>\n

\"012\"<\/a>

\u5716\u4e8c (\u5f15\u81ea: http:\/\/cnx.org\/)<\/p><\/div>\n

\u4f8b\u4e94\uff1a<\/strong><\/span>
\n\u96fb\u5f71\u4e2d\u7684\u5834\u666f\uff1a\u5982\u5716\u4e09\uff0c\u4e3b\u89d2\u5728\u9152\u5427\u4e2d\u8ddf\u9152\u4fdd\u9ede\u4e86\u676f\u9152\uff0c\u9152\u4fdd\u5012\u597d\u9152\u4e4b\u5f8c\uff0c\u5f9e\u5427\u6aaf\u4e0a\u7528\u529b\u4e00\u63a8\uff0c\u9152\u676f\u6ed1\u5411\u4e3b\u89d2\uff0c\u6b64\u6642\u9152\u676f\u88e1\u7684\u9152\u5728\u53d7\u5230\u63a8\u529b\u7684\u77ed\u66ab\u6642\u9593\u5167\uff0c\u53d7\u5230\u4e00\u80a1\u5f80\u5f8c\u7684\u5047\u60f3\u529b\uff0c\u6db2\u9762\u5782\u76f4\u65bc\u6b64\u529b\u8207\u91cd\u529b\u7684\u5408\u529b\uff0c\u56e0\u6b64\u5f80\u659c\u5f8c\u65b9\u50be\u659c\u3002\u4e4b\u5f8c\u9152\u676f\u6301\u7e8c\u53d7\u5230\u684c\u9762\u6469\u64e6\u529b\u800c\u6e1b\u7de9\u885d\u901f\uff0c\u6b64\u6642\u5047\u60f3\u529b\u8207\u91cd\u529b\u7684\u5408\u529b\u4f7f\u5f97\u6db2\u9762\u5fae\u5fae\u5f80\u524d\u50be\u659c\uff0c\u6700\u5f8c\u4e3b\u89d2\u4f38\u624b\u4e00\u6514\uff0c\u4f7f\u9152\u676f\u500f\u7136\u6b62\u4f4f\uff0c\u6b64\u6642\u9152\u676f\u7684\u9152\u6703\u5287\u70c8\u5f80\u524d\u63a8\u64e0\u503e\u5074\u3002<\/p>\n

\"013\"<\/a>

\u5716\u4e09 (\u4f5c\u8005\u63d0\u4f9b)<\/p><\/div>\n

\u7531\u65bc\u5047\u60f3\u529b\u8ddf\u8cea\u91cf\u6210\u6b63\u6bd4\uff0c\u91cd\u529b\u4e5f\u662f\uff0c\u56e0\u6b64\u611b\u56e0\u65af\u5766\u731c\u6e2c\u4e5f\u8a31\u91cd\u529b\u672c\u8eab\u5c31\u53ef\u4ee5\u770b\u6210\u662f\u4e00\u7a2e\u5047\u60f3\u529b\uff1a\u4e00\u500b\u5728\u7bb1\u5b50(\u6216\u96fb\u68af)\u7684\u4eba\uff0c\u7576\u7bb1\u5b50\u5728\u5730\u9762\u4e0a\u8655\u5728\u975c\u6b62\u72c0\u614b\u6642\uff0c\u88e1\u9762\u7684\u4eba\u611f\u53d7\u5230\u91cd\u529b\uff0c\u9019\u500b\u5f80\u4e0b\u7684\u529b\u8ddf\u4ed6\u8cea\u91cf\u6210\u6b63\u6bd4\u3002\u800c\u4e00\u500b\u5728\u592a\u7a7a\u4e2d\u4e0d\u53d7\u5176\u4ed6\u91cd\u529b\u5f71\u97ff\u7684\u7bb1\u5b50\uff0c\u65bc\u53d7\u5230\u4e00\u500b\u529b\u5f71\u97ff\u800c\u7522\u751f\u52a0\u901f\u5ea6\u5f8c\uff0c\u5728\u5176\u4e2d\u7684\u4eba\u4e5f\u6703\u611f\u89ba\u53d7\u5230\u4e00\u80a1\u529b\u5c07\u4ed6\u62c9\u5411\u4e00\u908a\uff0c\u6b64\u529b\u4e5f\u8207\u8cea\u91cf\u6210\u6b63\u6bd4\uff0c\u6240\u4ee5\u4ed6\u5c07\u7121\u6cd5\u5206\u8fa8\u81ea\u5df1\u5230\u5e95\u662f\u53d7\u5230\u91cd\u529b\u9084\u662f\u8655\u5728\u52a0\u901f\u7cfb\u7d71\u4e2d\u3002\u800c\u7576\u7bb1\u5b50\u8207\u5728\u7bb1\u4e2d\u7684\u4eba\uff0c\u5728\u91cd\u529b\u5834\u4e2d\u81ea\u7531\u843d\u4e0b\u7684\u6642\u5019\uff0c\u6b64\u4eba\u611f\u5230\u8655\u65bc\u7121\u91cd\u529b\u72c0\u614b\uff0c\u4ed6\u4e5f\u5c07\u7121\u6cd5\u5206\u8fa8\u4ed6\u662f\u5728\u91cd\u529b\u5834\u4e2d\u81ea\u7531\u843d\u4e0b\u9084\u662f\u6f02\u6d6e\u5728\u5916\u592a\u7a7a\u3002<\/p>\n

\u5f9e\u9019\u60f3\u6cd5\u5ef6\u4f38\uff0c\u611b\u56e0\u65af\u5766\u6700\u5f8c\u5c07\u91cd\u529b\u7576\u6210\u5047\u60f3\u529b\uff0c\u4e26\u4e14\u5c07\u725b\u9813\u529b\u5b78\u4e2d\u91cd\u529b\u5834\u6240\u7522\u751f\u7684\u6f6e\u6c50\u529b\u6b78\u56e0\u65bc\u6642\u7a7a\u5f4e\u66f2\uff0c\u65bc\u662f\u5960\u5b9a\u4e86\u5ee3\u7fa9\u76f8\u5c0d\u8ad6(general theory of relativity)\u7684\u57fa\u790e\u3002<\/p>\n

\u53c3\u8003\u8cc7\u6599\uff1a<\/strong><\/p>\n

    \n
  1. R. P. Feynman, R. B. Leighton and M. Sands, The Feynman Lectures on Physics, Feynman\u2019s Lecture on Physics, Basic Books (2011)<\/li>\n
  2. http:\/\/en.wikipedia.org\/wiki\/Fictitious_force<\/a><\/li>\n
  3. Scientific American: What is a \u201cfictitious force\u201d? July 9, 2007<\/li>\n<\/ol>\n

    \u00a0\u5ef6\u4f38\u95b1\u8b80\uff1a\u676f\u4e2d\u8336\u8449\u4f55\u53bb\u4f55\u5f9e\uff1f<\/a><\/strong><\/p>\n<\/div>","protected":false},"excerpt":{"rendered":"

    \u5047\u60f3\u529b(fictitious force, also pseudo force, inertial force…<\/p>\n","protected":false},"author":50,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[107,9,3],"tags":[2231,5571,1172,5572,5577,2004],"class_list":["post-46390","post","type-post","status-publish","format-standard","hentry","category-physics00","category-physics01-06","category-physics01","tag-2231","tag-5571","tag-1172","tag-5572","tag-5577","tag-2004","loop-entry","cat-107","cat-9","cat-3","no-thumbnail"],"views":7147,"_links":{"self":[{"href":"http:\/\/localhost\/wp-json\/wp\/v2\/posts\/46390","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/localhost\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/localhost\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/localhost\/wp-json\/wp\/v2\/users\/50"}],"replies":[{"embeddable":true,"href":"http:\/\/localhost\/wp-json\/wp\/v2\/comments?post=46390"}],"version-history":[{"count":1,"href":"http:\/\/localhost\/wp-json\/wp\/v2\/posts\/46390\/revisions"}],"predecessor-version":[{"id":87259,"href":"http:\/\/localhost\/wp-json\/wp\/v2\/posts\/46390\/revisions\/87259"}],"wp:attachment":[{"href":"http:\/\/localhost\/wp-json\/wp\/v2\/media?parent=46390"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/localhost\/wp-json\/wp\/v2\/categories?post=46390"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/localhost\/wp-json\/wp\/v2\/tags?post=46390"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}