{"id":39220,"date":"2025-11-12T18:49:08","date_gmt":"2025-11-12T10:49:08","guid":{"rendered":"http:\/\/www.qiusir.com\/?p=39220"},"modified":"2025-11-12T18:49:08","modified_gmt":"2025-11-12T10:49:08","slug":"%e4%b8%80%e4%ba%9b%e5%81%9a%e5%8a%9f%e4%b8%8e%e8%83%bd%e9%87%8f%e9%97%ae%e9%a2%98%e6%96%b0%e8%a7%82%e7%82%b9","status":"publish","type":"post","link":"https:\/\/www.qiusir.com\/?p=39220","title":{"rendered":"\u4e00\u4e9b\u505a\u529f\u4e0e\u80fd\u91cf\u95ee\u9898\u65b0\u89c2\u70b9"},"content":{"rendered":"

JQX\/\u8fdb\u53d6\u82af \u5e2d\u660e\u7eb3\u7b2c19\u671f\uff082025.11.06\uff09
\n

\"\"
\n\u4e00\u4e9b\u505a\u529f\u4e0e\u80fd\u91cf\u95ee\u9898\u65b0\u89c2\u70b9<\/strong>
\n\"\"
\n\u6d51\u5357\u9ad8\u4e2d\u90e8K2304\u73ed \u5434\u5c1a\u8fbe<\/center>
\n\u80fd\u91cf\u662f\u9ad8\u4e2d\u7269\u7406\u7684\u6838\u5fc3\u7269\u7406\u91cf\u4e4b\u4e00\uff0c\u5176\u8f6c\u5316\u901a\u8fc7\u529b\u7684\u505a\u529f\u5b9e\u73b0\uff0c\u529b\u505a\u529f\u4e5f\u5fc5\u7136\u6d89\u53ca\u80fd\u91cf\u4e4b\u95f4\u7684\u4e92\u76f8\u8f6c\u5316\u3002<\/p>\n

\u4e00\u3001\u673a\u68b0\u80fd\uff0c\u4fdd\u5b88\u529b\u4e0e\u975e\u4fdd\u5b88\u529b
\n\u673a\u68b0\u80fd\u662f\u6307\u7269\u4f53\u7531\u4e8e\u5176\u8fd0\u52a8\u548c\u4f4d\u7f6e\u800c\u5177\u6709\u7684\u80fd\u91cf\uff0c\u5b83\u662f\u4e00\u4e2a\u7531\u76f8\u4e92\u4f5c\u7528\u7684\u7269\u4f53\u7ec4\u6210\u7684\u7cfb\u7edf\u7684\u52a8\u80fd\u548c\u52bf\u80fd\u7684\u603b\u548c\uff0c\u5373 $$E = E_k + E_p$$\u3002
\n\u4fdd\u5b88\u529b\u6307\u505a\u529f\u4e0e\u8def\u5f84\u65e0\u5173\u7684\u529b\uff0c\u5982\u91cd\u529b\u3001\u5f15\u529b\u7b49\uff0c\u4fdd\u5b88\u529b\u7684\u505a\u529f\u53ea\u4e0e\u5176\u4f4d\u79fb\u6709\u5173\uff0c\u90a3\u4e48\u53ea\u8981\u77e5\u9053\u4fdd\u5b88\u529b\u5173\u4e8e\u4f4d\u79fb\u7684\u51fd\u6570\uff0c\u6211\u4eec\u5c31\u80fd\u901a\u8fc7\u79ef\u5206\u5f97\u5230\u5b83\u5bf9\u4e8e\u4e00\u6bb5\u4f4d\u7f6e\u53d8\u5316\u505a\u7684\u529f\uff0c\u8fdb\u800c\u5f97\u5230\u5b83\u7684\u52bf\u80fd\u51fd\u6570\u3002\u5bf9\u4e8e\u5e38\u89c1\u7684\u4e00\u6b21\u51fd\u6570\u5f62\u5f0f\u7684\u4fdd\u5b88\u529b\uff0c\u79ef\u5206\u52bf\u80fd\u7684\u8fc7\u7a0b\u5982\u4e0b:\"\"
\nqiusir\u8bf4\uff1a\u201c\u4fdd\u5b88\u529b\u7684\u82f1\u6587\u662fconservative force\uff0c\u4e0e\u2018\u5b88\u6052\u2019\u540c\u6e90\uff0c\u6545\u4e5f\u79f0\u5b88\u6052\u529b\uff0c\u5728\u65e5\u672c\u6559\u6750\u4e2d\u4e5f\u79f0\u2018\u4fdd\u5b58\u529b\u2019\uff0c\u8fd9\u79cd\u529b\u7684\u4f5c\u7528\u6548\u679c\u662f\u4fdd\u5b58\u80fd\u91cf\uff0c\u4f7f\u5176\u4ec5\u5728\u7cfb\u7edf\u5185\u90e8\u53d1\u751f\u8f6c\u5316\uff0c\u52a8\u80fd\u548c\u52bf\u80fd\u901a\u8fc7\u505a\u529f\u91cd\u65b0\u5206\u914d\u800c\u4e0d\u4e0e\u5916\u754c\u53d1\u751f\u80fd\u91cf\u7684\u6d41\u52a8\u201d\u4e5f\u5c31\u662f\u8bf4\uff0c\u80fd\u91cf\u5728\u4e00\u4e2a\u5b64\u7acb\u5c01\u95ed\u7cfb\u7edf\u5185\u90e8\u8f6c\u5316\uff0c\u6211\u4eec\u628a\u8fd9\u79cd\u7cfb\u7edf\u79f0\u4e3a\u4fdd\u5b88\u7cfb\u7edf\u3002
\n\u975e\u4fdd\u5b88\u529b\u4e0e\u4fdd\u5b88\u529b\u7684\u5b9a\u4e49\u76f8\u53cd\uff0c\u5982\u679c\u505a\u529f\u7684\u529b\u662f\u975e\u4fdd\u5b88\u529b\uff0c\u6bd4\u5982\u6469\u64e6\u529b\uff0c\u90a3\u4e48\u5b83\u4f1a\u628a\u7cfb\u7edf\u7684\u80fd\u91cf\u8017\u6563\u51fa\u53bb\uff0c\u8fd9\u5c31\u662f\u4e00\u4e2a\u5f00\u653e\u7cfb\u7edf\u3002\"\"<\/p>\n

\u8ba9\u6211\u4eec\u770b\u4e00\u9053\u4e2a\u4eba\u5f88\u559c\u6b22\u7684\u4f8b\u9898\uff1a
\n\u3010\u4f8b\u96f6\u3011\u5982\u56fe\u6240\u793a\uff0c\u4e00\u76db\u6c34\u5bb9\u5668\u7ed5\u7ad6\u76f4\u4e2d\u5fc3\u8f74\u4ee5\u89d2\u901f\u5ea6 $$\\omega$$\u00a0\u5300\u901f\u8f6c\u52a8\uff0c\u6c42\u6c34\u9762\u7684\u51fd\u6570\u3002<\/p>\n

\u6211\u4eec\u4ee5\u65cb\u8f6c\u7684\u6876\u4e3a\u53c2\u8003\u7cfb\uff0c\u90a3\u4e48\u6db2\u9762\u5c31\u662f\u9759\u6b62\u7684\uff0c\u7531\u4e8e\u53c2\u8003\u7cfb\u662f\u975e\u60ef\u6027\u53c2\u8003\u7cfb\uff0c\u6211\u4eec\u9700\u8981\u5f15\u5165\u60ef\u6027\u79bb\u5fc3\u529b\uff0c\u540c\u65f6\u5f15\u5165\u79bb\u5fc3\u52bf\u80fd\u7684\u6982\u5ff5\uff0c\u8fd9\u6837\u6c34\u9762\u4e0a\u4e00\u5b9a\u8d28\u91cf\u7684\u6db2\u4f53\uff0c\"\"\u5b83\u7684\u52bf\u80fd\u4e3a\u91cd\u529b\u52bf\u80fd\u4e0e\u79bb\u5fc3\u52bf\u80fd\u7684\u603b\u548c\u3002\u5bf9\u4e8e\u4e00\u4e2a\u6db2\u9762\uff0c\u5b83\u4e00\u5b9a\u662f\u4e00\u4e2a\u7b49\u52bf\u9762\uff08\u5982\u679c\u540c\u4e00\u6db2\u9762\u4e0a\u5b58\u5728\u8f83\u9ad8\u52bf\u80fd\u7684\u70b9\u548c\u8f83\u4f4e\u52bf\u80fd\u7684\u70b9\uff0c\u90a3\u4e48\u8f83\u9ad8\u52bf\u80fd\u70b9\u5904\u7684\u6db2\u6ef4\u5c31\u4f1a\u5411\u8f83\u4f4e\u52bf\u80fd\u65b9\u5411\u8fd0\u52a8\uff0c\u6700\u7ec8\u5f62\u6210\u4e00\u4e2a\u7b49\u52bf\u9762\uff09\uff0c\u5bf9\u4e8e\u8fd9\u4e2a\u7b49\u52bf\u9762\uff0c\u6211\u4eec\u53ef\u4ee5\u5b9a\u4e49\u5b83\u7684\u52bf\u80fd\u4e3a\u4efb\u610f\u5e38\u6570\uff0c\u8fd9\u91cc\u5b9a\u4e49\u4e3a\u96f6\uff0c\u5bf9\u5176\u80fd\u91cf\u5217\u5f0f\u5982\u4e0b\uff1a<\/p>\n

\uff08\u5982\u679c\u5b9a\u4e49\u6c34\u9762\u7684\u52bf\u80fd\u4e3a\u5e38\u6570 $$c$$\uff0c\u5219\u5bf9\u5e94\u7684\u51fd\u6570\u5e94\u591a\u4e00\u9879 $$+c\/mg$$\uff0c\u6db2\u9762\u5f62\u72b6\u4f9d\u65e7\u662f\u629b\u7269\u7ebf\uff09\"\"
\nqiusir\u8fd8\u63d0\u51fa\u4e86\u53d7\u529b\u5206\u6790\u7684\u89e3\u6cd5\uff1a<\/p>\n

\u4e8c\u3001\u529b\u7684\u201c\u4f5c\u7528\u8d28\u70b9\u201d\u7684\u4f4d\u79fb<\/p>\n

\u3010\u4f8b\u4e00\u3011\u5149\u6ed1\u6c34\u5e73\u5730\u9762\u4e0a\u7528\u6052\u529b $$F$$\u00a0\u62c9\u52a8\u9759\u6b62\u7684\u7269\u4f53 $$m$$, \u5939\u89d2\u4e3a $$\\theta$$\uff0c\u7269\u4f53\u524d\u8fdb\u4f4d\u79fb $$s$$, \u6c42\u8fd9\u6bb5\u8fc7\u7a0b\u4e2d\u6052\u529b $$F$$\u00a0\u6240\u505a\u7684\u529f $$W$$<\/p>\n

\u5bf9\u4e8e\u8fd9\u9053\u9898\uff0cqiusir\u7ed9\u51fa\u4e86\u6bd4\u8f83\u6807\u51c6\u7684\u53d9\u8ff0\u65b9\u6cd5\uff1a\"\"
\n\u8fd9\u9053\u5178\u578b\u4f8b\u9898\u4e2d\uff0c\u53ef\u4ee5\u8ba4\u4e3a\u529b\u662f\u4e00\u76f4\u4f5c\u7528\u5728\u540c\u4e00\u4e2a\u4f5c\u7528\u70b9 $$P$$\u00a0\u4e0a\u7684\uff0c\u4f46\u5982\u679c\u529b\u7684\u4f5c\u7528\u70b9\u662f\u65f6\u523b\u53d8\u5316\u7684\u5462\uff1f<\/p>\n

\u3010\u4f8b\u4e8c\u3011\u5982\u56fe\u4e3a\u6253\u5370\u673a\u6eda\u8f6e\u8f85\u52a9\u8fdb\u7eb8\u88c5\u7f6e\uff0c\u8f6e\u5b50\u534a\u5f84\u4e3a $$R$$\uff0c\u7ed5\u8fc7 $$O$$\u00a0\u70b9\u7684\u56fa\u5b9a\u8f74\u4ee5\u89d2\u901f\u5ea6 $$\\omega$$\u00a0\u5300\u901f\u8f6c\u52a8, \u5e26\u52a8\u4e0b\u65b9\u7eb8\u5f20\u4ee5\u901f\u5ea6 $$v$$\u00a0\u8fd0\u52a8, \u8bd5\u6c42\u8f6c\u52a8\u4e00\u5468\u6469\u64e6\u529b $$f$$\u00a0\u6240\u505a\u7684\u529f\u3002
\n\"\"<\/p>\n

\u7ecf\u8fc7\u4e00\u5b9a\u65f6\u95f4\u56fe\u4e2d $$A$$\u00a0\u70b9\u5c06\u4e0d\u518d\u4e0e\u767d\u7eb8\u63a5\u89e6\uff0c\u6469\u64e6\u529b\u7684\u4f5c\u7528\u70b9\u4e0d\u518d\u662f $$A$$\u00a0\u70b9\uff0c\u90a3\u4e48\u662f\u5426\u53ef\u4ee5\u8ba4\u4e3a\u6469\u64e6\u529b\u7684\u4f5c\u7528\u70b9\u7684\u4f4d\u79fb\u4e3a\u96f6\u5462\uff1f\u56e0\u4e3a\u7eb8\u83b7\u5f97\u7684\u52a8\u80fd\uff0c\u6240\u4ee5\u663e\u7136 $$f$$\u00a0\u505a\u7684\u529f\u4e0d\u4e3a\u96f6\u3002<\/p>\n

\u901a\u8fc7\u201c\u4f5c\u7528\u8d28\u70b9\u201d\u6765\u89e3\u91ca\u8fd9\u4e00\u73b0\u8c61\uff1a
\n\u5bf9\u4e8e\u4efb\u610f\u7cfb\u7edf\uff0c\u5f53\u6211\u4eec\u5c06\u5176\u79bb\u6563\u5316\uff0c\u90fd\u53ef\u4ee5\u5f97\u5230\u65e0\u6570\u4e2a\u65e0\u7a77\u5c0f\u7684\u8d28\u70b9\uff08\u8d28\u91cf\u5143\uff09\uff0c\u4f5c\u7528\u8d28\u70b9\u662f\u6307\u67d0\u4e00\u65f6\u523b\u529b\u4f5c\u7528\u7684\u7cfb\u7edf\u7684\u4e00\u8d28\u91cf\u5143\u3002\"\"\u529b\u7684\u505a\u529f\u5176\u5b9e\u662f\u7531\u5f88\u591a\u4e2a\u5fae\u5c0f\u7684\u505a\u529f\u8fc7\u7a0b\u7ec4\u6210\u7684\uff0c\u5f53\u529b\u7684\u4f5c\u7528\u8d28\u70b9\u53ef\u8ba4\u5b9a\u4e0d\u53d8\u65f6\uff0c\u5b83\u5c31\u662f\u6211\u4eec\u6240\u8bf4\u7684\u4f5c\u7528\u70b9\uff0c\u4ece\u800c\u901a\u8fc7\u5176\u4f4d\u79fb\u8ba1\u7b97\u51fa\u505a\u529f\uff0c\u4f46\u5f53\u529b\u7684\u76f4\u63a5\u4f5c\u7528\u70b9\u53d1\u751f\u53d8\u5316\u65f6\uff0c\u5219\u9700\u8981\u901a\u8fc7\u79ef\u5206\u8f6c\u5316\u6765\u6c42\u505a\u529f\u3002<\/p>\n

\u4e09\u3001\u60ef\u6027\u7cfb\u4e0e\u975e\u60ef\u6027\u7cfb\u7684\u5f71\u54cd
\n\u52a8\u80fd\u5b9a\u7406\uff0c\u673a\u68b0\u80fd\u5b88\u6052\u662f\u5728\u725b\u987f\u7b2c\u4e8c\u5b9a\u5f8b\u6210\u7acb\u7684\u57fa\u7840\u4e0a\u63a8\u5bfc\u51fa\u6765\u7684\u3002\u725b\u987f\u7b2c\u4e8c\u5b9a\u5f8b\u5728\u4efb\u610f\u60ef\u6027\u7cfb\u4e2d\u4ecd\u7136\u6210\u7acb\uff0c\u6240\u4ee5\u4ee5\u5176\u4e3a\u57fa\u7840\u7684\u80fd\u91cf\u52a8\u91cf\u65b9\u9762\u7684\u5b9a\u7406\u81ea\u7136\u4e5f\u662f\u6210\u7acb\u7684\u3002
\n\u6545\uff1a\u5728\u5730\u9762\u7cfb\u4e0b\uff0c\u5982\u679c\u52a8\u91cf\u5b88\u6052\uff0c\u5219\u5728\u53e6\u4e00\u60ef\u6027\u7cfb\u4e0b\uff0c\u52a8\u91cf\u4ecd\u662f\u5b88\u6052\u7684\uff1b\u5728\u5730\u9762\u7cfb\u4e0b\uff0c\u5982\u679c\u673a\u68b0\u80fd\u662f\u5b88\u6052\u7684\uff0c\u5219\u5728\u53e6\u4e00\u60ef\u6027\u7cfb\u4e0b\uff0c\u673a\u68b0\u80fd\u7167\u6837\u662f\u5b88\u6052\u7684\u3002
\n\u5f53\u7136\u4e5f\u53ef\u4ee5\u901a\u8fc7\u4e00\u4e9b\u77e2\u91cf\u63a8\u5bfc\uff08\u4ee5\u4e0b\u63a8\u5bfc\u4e2d $$F$$\u3001$$\\Delta x$$\u00a0\u5747\u4e3a\u77e2\u91cf\uff09\u8bc1\u660e\u51fa\u6765\uff1a
\nA\uff0cB\uff0cC\u4e09\u4e2a\u53ef\u89c6\u4e3a\u8d28\u70b9\u7269\u4f53\uff08\u53ef\u62d3\u5c55\u81f3 $$n$$\u00a0\u4e2a\uff09\u4e0e\u5730\u7403\u6784\u6210\u4e00\u4e2a\u7cfb\u7edf\uff0c\u4e09\u4e2a\u7269\u4f53\u5206\u522b\u53d7\u5916\u529b $$F_a$$\uff0c$$F_b$$\uff0c$$F_c$$\u00a0\u7684\u4f5c\u7528\uff0c\u5728\u4e00\u4e2a\u4e0e\u5730\u9762\u4fdd\u6301\u9759\u6b62\u7684\u53c2\u8003\u7cfb $$S$$\u00a0\u4e2d\u89c2\u6d4b\u5230\u6b64\u7cfb\u7edf\u5728\u8fd0\u52a8\u8fc7\u7a0b\u4e2d\u52a8\u91cf\u5b88\u6052\uff0c\u673a\u68b0\u80fd\u4e5f\u5b88\u6052\uff0c$$S’$$\u00a0\u662f\u76f8\u5bf9\u4e8e $$S$$\u00a0\u505a\u5300\u901f\u76f4\u7ebf\u8fd0\u52a8\u7684\u53c2\u8003\u7cfb
\n\u7531 $$S$$\u00a0\u7cfb\u4e2d\u52a8\u91cf\u5b88\u6052\u53ef\u77e5\u5408\u5916\u529b $$F_a + F_b + F_c$$\u00a0\u4e3a\u96f6\u7531\u4e8e\u53d7\u529b\u4e0e\u53c2\u8003\u7cfb\u65e0\u5173\uff0c\u6240\u4ee5\u5728 $$S’$$\u00a0\u7cfb\u4e0b\u5408\u5916\u529b $$F_a + F_b + F_c$$\u00a0\u4f9d\u65e7\u4e3a\u96f6\uff0c\u5408\u529b\u5bf9\u7cfb\u7edf\u505a\u603b\u51b2\u91cf\u4e3a0\uff0c\u52a8\u91cf\u5b88\u6052\u5f97\u8bc1\u3002
\n\u8bbe\u5f88\u77ed\u65f6\u95f4 $$\\Delta t$$\u00a0\u5185 ABC \u4e09\u4e2a\u7269\u4f53\u7684\u4f4d\u79fb\u5206\u522b\u4e3a $$\\Delta x_a$$\u00a0$$\\Delta x_b$$\u00a0$$\\Delta x_c$$\uff0c$$S$$\u00a0\u7cfb\u4e2d\u673a\u68b0\u80fd\u5b88\u6052\uff0c\u6545\u53ef\u77e5\u5408\u5916\u529b\u603b\u529f\u4e3a\u96f6\uff0c\u5373\"\"
\n$$F_a \\Delta x_a + F_b \\Delta x_b + F_c \\Delta x_c = 0$$
\n\u8bbe\u540c\u4e00\u65f6\u95f4\u95f4\u9694 $$\\Delta t$$\u00a0\u5185 $$S’$$\u00a0\u7cfb\u76f8\u5bf9 $$S$$\u00a0\u7cfb\u7684\u4f4d\u79fb\u4e3a $$\\Delta x’$$\u00a0\u5219\u7531\u76f8\u5bf9\u8fd0\u52a8\u77e5\u8bc6\u53ef\u77e5\uff1a
\nA\u5728 $$S$$\u00a0\u7cfb\u4e0b\u7684\u4f4d\u79fb $$\\Delta x_a = \\Delta x_a’ + \\Delta x’$$
\nA\u5728 $$S’$$\u00a0\u7cfb\u4e0b\u7684\u4f4d\u79fb $$\\Delta x_a’ = \\Delta x_a – \\Delta x’$$
\nB\uff0cC\u540c\u7406
\n\u6545\u5728 $$S’$$\u00a0\u7cfb\u4e2d\u4e09\u4e2a\u529b\u505a\u529f\u4e4b\u548c\u4e3a
\n$$W = F_a \\Delta x_a’ + F_b \\Delta x_b’ + F_c \\Delta x_c’$$
\n$$= F_a (\\Delta x_a – \\Delta x’) + F_b (\\Delta x_b – \\Delta x’) + F_c (\\Delta x_c – \\Delta x’)$$
\n$$= (F_a \\Delta x_a + F_b \\Delta x_b + F_c \\Delta x_c) – (F_a + F_b + F_c) \\Delta x’ = 0$$
\n$$S’$$\u00a0\u7cfb\u4e2d\u673a\u68b0\u80fd\u5b88\u6052\u5f97\u8bc1\u3002\"\"
\n\u3010\u4f8b\u4e09\u3011\u5982\u56fe\u6240\u793a\uff0c\u706b\u8f66\u4ee5\u901f\u5ea6 $$v$$\u00a0\u5411\u524d\u505a\u5300\u901f\u8fd0\u52a8\uff0c\u5185\u6709\u4e00\u5149\u6ed1\u684c\u9762\uff0c\u4e0a\u6709\u4e00\u8f7b\u8d28\u5f39\u7c27\uff0c\u53f3\u7aef\u6709\u4e00\u8d28\u91cf\u4e3a $$m$$\u00a0\u7684\u7269\u4f53\uff08\u4e0d\u8fde\u63a5\u5f39\u7c27\uff09\uff0c\u4e00\u7aef\u56fa\u5b9a\u4e8e\u8f66\u53a2\u58c1\uff0c\u7528\u624b\u538b\u7f29\u4e00\u6bb5\u540e\u653e\u624b\uff0c\u7269\u4f53\u88ab\u5f39\u5f00\uff08\u4ecd\u5728\u684c\u9762\u4e0a\uff09\uff0c\u79bb\u5f00\u5f39\u7c27\u65f6\u76f8\u5bf9\u8f66\u53a2\u7684\u901f\u5ea6\u4e3a $$u$$\u3002\u95ee\uff1a\u4ece\u653e\u624b\u5230\u7269\u4f53\u79bb\u5f00\u5f39\u7c27\u7684\u77ac\u95f4\uff0c\u8f66\u53a2\u58c1\u5bf9\u5f39\u7c27\u505a\u4e86\u591a\u5c11\u529f\uff1f
\n\u5e94\u7528\u4e0a\u8ff0\u77e5\u8bc6\uff0c\u7ed9\u51fa\u89e3\u7b54\u5982\u4e0b\uff1a\"\"<\/p>\n

\u5982\u679c\u4ee5\u975e\u60ef\u6027\u7cfb\u4f5c\u4e3a\u53c2\u8003\u7cfb\uff0c\u7531\u4e8e\u975e\u60ef\u6027\u7cfb\u4e2d\u725b\u987f\u7b2c\u4e8c\u5b9a\u5f8b\u4e0d\u518d\u6210\u7acb\uff0c\u9700\u8981\u5f15\u5165\u60ef\u6027\u529b\uff0c\u82e5\u5f15\u5165\u7684\u60ef\u6027\u529b\u662f\u4fdd\u5b88\u529b\uff0c\u5219\u8be5\u7cfb\u7edf\u4f9d\u65e7\u4e3a\u4fdd\u5b88\u7cfb\u7edf\uff0c\u5f15\u5165\u60ef\u6027\u529b\u5bf9\u5e94\u7684\u52bf\u80fd\u540e\u80fd\u91cf\u5b88\u6052\"\"
\n\u3010\u4f8b\u56db\u3011\u5982\u56fe\u6240\u793a\uff0c\u4e00\u5149\u6ed1\u7ec6\u6746\u7ed5\u7ad6\u76f4\u8f74\u4ee5\u5300\u89d2\u901f\u5ea6\u8f6c\u52a8\uff0c\u7ec6\u6746\u4e0e\u7ad6\u76f4\u8f74\u5939\u89d2 $$\\theta$$\u00a0\u4fdd\u6301\u4e0d\u53d8\uff0c\u4e00\u4e2a\u76f8\u5bf9\u7ec6\u6746\u9759\u6b62\u7684\u5c0f\u73af\u81ea\u79bb\u5730\u9762 $$h$$\u00a0\u9ad8\u5904\u6cbf\u7ec6\u6746\u4e0b\u6ed1\uff0c\u6c42\u5c0f\u73af\u6ed1\u5230\u7ec6\u6746\u4e0b\u7aef\u65f6\u7684\u901f\u5ea6 $$v$$<\/p>\n

\u4ee5\u7ec6\u6746\u4e3a\u53c2\u8003\u7cfb\u5f15\u5165\u60ef\u6027\u79bb\u5fc3\u529b $$F$$\uff08\u79d1\u91cc\u5965\u5229\u529b\u65b9\u5411\u4e0e\u5706\u73af\u8fd0\u52a8\u65b9\u5411\u5782\u76f4\u4e0d\u505a\u529f\uff0c\u8fd9\u91cc\u5ffd\u7565\u4e0d\u8ba1\uff09\uff0c\u7531\u4fdd\u5b88\u7cfb\u7edf\u80fd\u91cf\u5b88\u6052\u5217\u5f0f\u5982\u4e0b\uff1a
\n\"\"<\/p>\n

\u56db\u3001\u865a\u529f\u539f\u7406
\n\u5bf9\u4e8e\u4e00\u4e2a\u5e73\u8861\u7cfb\u7edf\uff0c\u53ef\u4ee5\u5047\u8bbe\u5176\u53d1\u751f\u4e86\u4e00\u4e2a\u6781\u4e3a\u5fae\u5c0f\u7684\u53d8\u5316\uff0c\u67d0\u4e2a\u529b\u505a\u4e86\u4e00\u4e2a\u5fae\u5c0f\u7684\u529f $$dW$$\u00a0\u4f7f\u7cfb\u7edf\u7684\u52bf\u80fd\u53d1\u751f\u4e86\u4e00\u4e2a\u5fae\u5c0f\u7684\u53d8\u5316 $$dE$$\u00a0\u7136\u540e\u7531 $$dW = dE$$\u00a0\u6c42\u51fa\u6211\u4eec\u6240\u9700\u8981\u7684\u91cf\uff0c\u4e00\u822c\u5e38\u7528\u4e8e\u6c42\u89e3\u4e00\u4e9b\u529b\u7684\u5927\u5c0f\u3002\"\"
\n\u3010\u4f8b\u4e94\u3011\u5982\u56fe\u6240\u793a\uff0c\u4e00\u4e2a\u534a\u5f84\u4e3a $$R$$\u00a0\u7684 $$1\/4$$\u00a0\u5149\u6ed1\u7403\u9762\u56fa\u5b9a\u5728\u6c34\u5e73\u684c\u9762\u4e0a\uff0c\u7403\u9762\u4e0a\u653e\u7f6e\u4e00\u5149\u6ed1\u5747\u5300\u94c1\u94fe\uff0c\u5176 $$A$$\u00a0\u7aef\u53d7\u5230\u4e00\u6c34\u5e73\u5411\u5de6\u7684\u62c9\u529b $$T$$, $$B$$\u00a0\u7aef\u6070\u4e0e\u684c\u9762\u4e0d\u63a5\u89e6\uff0c\u94c1\u94fe\u5355\u4f4d\u957f\u5ea6\u7684\u8d28\u91cf\u4e3a $$\\lambda$$\uff0c\u6c42 $$T$$\u00a0\u7684\u5927\u5c0f<\/p>\n

\u5bf9\u94c1\u94fe\u5e94\u7528\u865a\u529f\u539f\u7406\uff0c\u5047\u8bbe\u94c1\u94fe\u5728 $$A$$\u00a0\u70b9\u62c9\u529b\u7684\u4f5c\u7528\u4e0b\u6c34\u5e73\u5411\u5de6\u53d1\u751f\u5fae\u5c0f\u4f4d\u79fb $$dl$$\uff0c\u5219\u62c9\u529b\u6240\u505a\u7684\u529f\u7b49\u4e8e\u5c06 $$B$$\u00a0\u70b9\u5bf9\u5e94\u8d28\u91cf $$dm = \\lambda \\cdot dl$$\u00a0\u62ac\u5347\u5230\u4e86 $$A$$\u00a0\u70b9\uff0c\u6240\u4ee5
\n\"\"<\/p>\n

\u5f53\u7136\uff0c\u672c\u9898\u4e5f\u53ef\u4ee5\u4f7f\u7528\u5fae\u5143\u6cd5\u6c42\u89e3\uff1a<\/p>\n

qiusir\uff1a\u201c\u7c7b\u4f3c\u7684\u9898\u76ee\u4e5f\u66fe\u5728\u9ad8\u4e00\u7684\u67d0\u6b21\u8003\u8bd5\u4e2d\u51fa\u73b0\u3002\"\"\u7528\u51e0\u4f55\u5206\u6790\u7684\u65b9\u6cd5\u5341\u5206\u590d\u6742\u7e41\u7410\uff0c\u5982\u679c\u80fd\u5de7\u5999\u7684\u8fd0\u7528\u865a\u529f\u539f\u7406\uff0c\u5c06\u5927\u5927\u8282\u7701\u505a\u9898\u65f6\u95f4\u201d<\/p>\n

\"\"\u3010\u4f8b\u516d\u3011\u5982\u56fe\uff0c\u4e00\u957f\u4e3a $$L$$\u00a0\u7684\u5300\u8d28\u7ec6\u6746 $$AB$$\u00a0\u7531\u56fa\u5b9a\u7684\u4e24\u4e2a\u6c34\u5e73\u7ec6\u8f74 $$C$$\u3001$$D$$\u00a0\u652f\u6491\u5728\u7ad6\u76f4\u5e73\u9762\u5185\uff0c$$CD$$\u00a0\u95f4\u8ddd\u4e3a $$d$$\uff0c$$d \\leq L\/2$$\uff0c\u6746\u7684 $$A$$\u00a0\u7aef\u7f6e\u4e8e\u8f74 $$C$$\u00a0\u4e0b, \u6746\u4e0e\u8f74\u4e4b\u95f4\u9759\u6469\u64e6\u7cfb\u6570\u4e3a $$\\mu$$, \u6746\u4e0e\u6c34\u5e73\u9762\u5939\u89d2\u4e3a $$\\theta$$\uff0c\u4e3a\u4f7f\u6746\u4fdd\u6301\u5e73\u8861\uff0c $$L$$\u00a0\u6bd4 $$d$$\u00a0\u7684\u503c\u5fc5\u987b\u6ee1\u8db3\u4ec0\u4e48\u6761\u4ef6\"\"<\/p>\n

\u5e94\u7528\u865a\u529f\u539f\u7406\uff0c\u89e3\u7b54\u5982\u4e0b\uff1a
\n\uff08\u8fd9\u79cd\u60c5\u51b5\u4e0b\uff0c\u7ea6\u6389 $$d\\theta$$\u00a0\u540e\uff0c\u865a\u529f\u539f\u7406\u4e0e\u529b\u77e9\u5e73\u8861\u65b9\u7a0b\u662f\u76f8\u540c\u7684\uff09<\/p>\n

\n\"\"<\/p>\n

JQX|Jin<\/p>\n

\u3010\u4e0b\u671f\u9884\u544a\u3011
\n\u4ece\u4e00\u9053\u5c0f\u9898\u7684\u7ec6\u8282\u5165\u624b\uff0c\u4ece\u725b\u987f\u5b9a\u5f8b\u3001\u52a8\u91cf\u5b9a\u7406\u548c\u52a8\u80fd\u5b9a\u7406\u7b49\u89d2\u5ea6\u89e3\u6784\u975e\u5f39\u6027\u78b0\u649e\uff0c\u6d89\u53ca\u5f62\u53d8\u3001\u6469\u64e6\u529b\u7684\u529f\u3001\u5f39\u529b\u7684\u529f\u00b7\u00b7\u00b7<\/p>\n","protected":false},"excerpt":{"rendered":"

JQX\/\u8fdb\u53d6\u82af \u5e2d\u660e\u7eb3\u7b2c19\u671f\uff082025.11.06\uff09 \u4e00\u4e9b\u505a\u529f\u4e0e\u80fd\u91cf\u95ee\u9898\u65b0\u89c2\u70b9 \u6d51\u5357\u9ad8\u4e2d\u90e8K2304\u73ed \u5434\u5c1a … \u9605\u8bfb\u66f4\u591a<\/a><\/p>\n","protected":false},"author":4,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"ngg_post_thumbnail":0,"footnotes":""},"categories":[9],"tags":[460],"class_list":["post-39220","post","type-post","status-publish","format-standard","hentry","category-jqx","tag-jqx"],"_links":{"self":[{"href":"https:\/\/www.qiusir.com\/index.php?rest_route=\/wp\/v2\/posts\/39220","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.qiusir.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.qiusir.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.qiusir.com\/index.php?rest_route=\/wp\/v2\/users\/4"}],"replies":[{"embeddable":true,"href":"https:\/\/www.qiusir.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=39220"}],"version-history":[{"count":0,"href":"https:\/\/www.qiusir.com\/index.php?rest_route=\/wp\/v2\/posts\/39220\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.qiusir.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=39220"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.qiusir.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=39220"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.qiusir.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=39220"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}