{"id":45909,"date":"2026-04-15T14:43:07","date_gmt":"2026-04-15T06:43:07","guid":{"rendered":"https:\/\/www.qiusir.com\/?p=45909"},"modified":"2026-04-28T10:27:32","modified_gmt":"2026-04-28T02:27:32","slug":"%e4%b8%80%e9%81%93%e9%ab%98%e8%80%83%e6%94%b9%e7%bc%96%e9%a2%98%e4%b8%ad%e5%af%b9%e8%83%bd%e9%87%8f%e5%88%86%e9%85%8d%e7%9a%84%e6%8e%a2%e7%a9%b6","status":"publish","type":"post","link":"https:\/\/www.qiusir.com\/?p=45909","title":{"rendered":"\u4e00\u9053\u9ad8\u8003\u6539\u7f16\u9898\u4e2d\u80fd\u91cf\u5206\u914d\u7684\u63a2\u7a76"},"content":{"rendered":"

JQX\/\u8fdb\u53d6\u82af \u5e2d\u660e\u7eb3\u7b2c30\u671f\uff082026.04.10\uff09\u4e00\u9053\u9ad8\u8003\u6539\u7f16\u9898\u4e2d\u5bf9\u80fd\u91cf\u5206\u914d\u7684\u63a2\u7a76
\n

\"\"
\nJQX|Xiao<\/center>
\n[\u9898\u76ee]\uff1a\u5982\u56fe\uff0c\u575a\u786c\u7684\u6c34\u5e73\u5730\u9762\u4e0a\u653e\u7f6e\u4e00\u6728\u6599\uff0c\u6728\u6599\u4e0a\u6709\u4e00\u4e2a\u7ad6\u76f4\u65b9\u5411\u7684\u65b9\u5b54\uff0c\u65b9\u5b54\u5404\u4fa7\u58c1\u5b8c\u5168\u76f8\u540c\u3002\u6728\u6813\u6750\u8d28\u575a\u786c\uff0c\u5f62\u72b6\u4e3a\u6b63\u56db\u68f1\u53f0\uff0c\u4e0a\u4e0b\u5e95\u9762\u5747\u4e3a\u6b63\u65b9\u5f62\uff0c\u56db\u4e2a\u4fa7\u9762\u5b8c\u5168\u76f8\u540c\u4e14\u4e0e\u4e0a\u5e95\u9762\uff08\u6c34\u5e73\u9762\uff09\u7684\u5939\u89d2\u5747\u4e3a $\\theta = 53^\\circ$\u3002\u6728\u6813\u8d28\u91cf\u4e3a $m = 2 \\text{ kg}$\uff0c\u4e0e\u65b9\u5b54\u4fa7\u58c1\u7684\u52a8\u6469\u64e6\u56e0\u6570\u4e3a $\\mu = 0.75$\uff0c\u6700\u5927\u9759\u6469\u64e6\u529b\u7ea6\u7b49\u4e8e\u6ed1\u52a8\u6469\u64e6\u529b\u3002\"\"\u5c06\u6728\u6813\u5bf9\u51c6\u65b9\u5b54\uff0c\u63a5\u89e6\u4f46\u65e0\u6324\u538b\uff0c\u6b64\u65f6\u6728\u6599\u5f62\u53d8\u4e3a\u96f6\u3002\u9524\u5b50\u4ee5\u6781\u77ed\u65f6\u95f4\u649e\u51fb\u6728\u6813\u540e\u53cd\u5f39\uff0c\u5df2\u77e5\u9524\u5b50\u5bf9\u6728\u6813\u51b2\u91cf\u5927\u5c0f\u4e3a $I = 8 \\text{ N}\\cdot\\text{s}$\uff0c\u65b9\u5411\u7ad6\u76f4\u5411\u4e0b\u3002\u6728\u6813\u5728\u7ad6\u76f4\u65b9\u5411\u524d\u8fdb\u4e86\u4f4d\u79fb $x = 0.1 \\text{ m}$ \u540e\u901f\u5ea6\u51cf\u4e3a\u96f6\uff0c\u672a\u5230\u8fbe\u65b9\u5b54\u5e95\u90e8\u3002\u91cd\u529b\u52a0\u901f\u5ea6 $g = 10 \\text{ m\/s}^2$\uff08\u5df2\u77e5 $\\sin 53^\\circ = 0.8$\uff0c$\\cos 53^\\circ = 0.6$\uff09\u3002\u6c42\u5728\u6b64\u8fdb\u5165\u8fc7\u7a0b\u4e2d\uff1a
\n(1) \u6728\u6599\u5bf9\u6728\u6813\u7684\u5e73\u5747\u963b\u529b\u5927\u5c0f\uff1b
\n(2) \u6728\u6813\u673a\u68b0\u80fd\u7684\u635f\u5931\u91cf\uff1b
\n(3) \u6728\u6813\u524d\u8fdb $x$ \u540e\uff0c\u6728\u6599\u5bf9\u6728\u6813\u4e00\u4e2a\u4fa7\u9762\u7684\u6700\u5927\u6ed1\u52a8\u6469\u64e6\u529b\u5927\u5c0f\uff1b
\n(4) \u5047\u8bbe\u65b9\u5b54\u4fa7\u58c1\u4ec5\u53d1\u751f\u5782\u76f4\u4e8e\u4fa7\u58c1\u7684\u5f39\u6027\u5f62\u53d8\uff08\u6cd5\u5411\u5f39\u7c27\u6a21\u578b\uff09\uff0c\u6469\u64e6\u529b\u5bf9\u6728\u6813\u548c\u6728\u6599\u5206\u522b\u505a\u4e86\u591a\u5c11\u529f\uff1f
\n(5) \u652f\u6301\u529b\u5bf9\u6728\u6813\u548c\u6728\u6599\u5206\u522b\u505a\u4e86\u591a\u5c11\u529f\uff1f
\n(6) \u7cfb\u7edf\u4ea7\u751f\u7684\u70ed\u91cf\u662f\u591a\u5c11\uff1f
\n(7) \u652f\u6301\u529b\u5bf9\u7cfb\u7edf\u505a\u7684\u603b\u529f\u662f\u591a\u5c11\uff1f
\n(8) \u6728\u6599\u83b7\u5f97\u7684\u5f39\u6027\u52bf\u80fd\u662f\u591a\u5c11\uff1f
\n(9) [\u62d3\u5c55\u601d\u8003]\u82e5\u5047\u8bbe\u6728\u6599\u4fa7\u58c1\u5e76\u975e\u53d1\u751f\u6cd5\u5411\u5f62\u53d8\uff0c\u800c\u662f\u53d1\u751f\u6574\u4f53\u6c34\u5e73\u5411\u5916\u7684\u5f39\u6027\u5f62\u53d8\uff08\u6a2a\u5411\u81a8\u80c0\u6a21\u578b\uff09\uff0c\u4ee5\u4e0a\uff084\uff09\u81f3\uff088\uff09\u95ee\u7684\u7ed3\u8bba\u5c06\u5982\u4f55\u6539\u53d8\uff1f\u8bf7\u8ba1\u7b97\u6b64\u6a21\u578b\u4e0b\u6469\u64e6\u529b\u5bf9\u6728\u6599\u7684\u505a\u529f\u3001\u7cfb\u7edf\u4ea7\u751f\u7684\u70ed\u91cf\u4e0e\u6728\u6599\u6700\u7ec8\u83b7\u5f97\u7684\u5f39\u6027\u52bf\u80fd\u3002
\n[\u89e3\u6790][\u603b\u4f53\u7269\u7406\u56fe\u50cf\u4e0e\u8fd0\u52a8\u5206\u6790]
\n\u9524\u5b50\u649e\u51fb\u6728\u6813\u540e\uff0c\u6839\u636e\u52a8\u91cf\u5b9a\u7406 $I = m v_0$\uff0c\u6728\u6813\u521d\u901f\u5ea6 $v_0 = 4 \\text{ m\/s}$\u3002\u6728\u6813\u521d\u52a8\u80fd $E_{k0} = \\frac{1}{2} m v_0^2 = 16 \\text{ J}$\u3002\u4e0b\u843d\u8fc7\u7a0b\u4e2d\u91cd\u529b\u505a\u6b63\u529f $W_G = mgx = 2 \\text{ J}$\u3002\u7cfb\u7edf\u8f93\u5165\u7684\u603b\u673a\u68b0\u80fd $E_{\u603b} = E_{k0} + W_G = 18 \\text{ J}$\u3002
\n1\uff09\u6728\u6599\u5bf9\u6728\u6813\u7684\u5e73\u5747\u963b\u529b\u5927\u5c0f
\n\u8bbe\u6728\u6599\u5bf9\u6728\u6813\u7ad6\u76f4\u5411\u4e0a\u7684\u603b\u963b\u529b\u4e3a $\\bar{F}_y$\u3002\u5bf9\u6728\u6813\u5355\u4f53\u7531\u52a8\u80fd\u5b9a\u7406\u5f97\uff1a$W_G – \\bar{F}_y x = 0 – E_{k0}$\u3002\u4ee3\u5165\u6570\u636e\u5f97 $2 – \\bar{F}_y \\times 0.1 = -16$\uff0c\u89e3\u5f97\u5e73\u5747\u963b\u529b\u5927\u5c0f $\\bar{F}_y = 180 \\text{ N}$\u3002
\n2\uff09\u6728\u6813\u673a\u68b0\u80fd\u7684\u635f\u5931\u91cf
\n\u6728\u6813\u635f\u5931\u7684\u673a\u68b0\u80fd\u7b49\u4e8e\u514b\u670d\u9664\u91cd\u529b\u5916\u6240\u6709\u529b\u505a\u7684\u529f\uff1a$\\Delta E_{\u6813\u635f} = \\bar{F}_y x = 180 \\times 0.1 \\text{ J} = 18 \\text{ J}$\u3002
\n3\uff09\u6700\u5927\u9759\u6469\u64e6\u529b\u5927\u5c0f
\n\u56e0\u5f62\u53d8\u4ece\u96f6\u5f00\u59cb\u4e14\u5f39\u529b\u5448\u7ebf\u6027\u53d8\u5316\uff0c\u603b\u963b\u529b\u4e0e\u4f4d\u79fb\u6210\u6b63\u6bd4\u3002\u672b\u7aef\u4f4d\u79fb $x = 0.1 \\text{ m}$ \u5904\u603b\u963b\u529b\u6700\u5927\uff1a$F_{y,\\max} = 2\\bar{F}_y = 360 \\text{ N}$\u3002\u8bbe\u6b64\u65f6\u4e00\u4e2a\u4fa7\u9762\u7684\u6700\u5927\u5f39\u529b\u4e3a $N_{\\max}$\uff0c\u6700\u5927\u9759\u6469\u64e6\u529b $f_{\\max} = \\mu N_{\\max}$\u3002\u56db\u4e2a\u9762\u7684\u7ad6\u76f4\u53d7\u529b\u5e73\u8861\uff1a$F_{y,\\max} = 4N_{\\max} \\cos 53^\\circ + 4f_{\\max} \\sin 53^\\circ$\u3002\u4ee3\u5165\u5f97 $360 = 4\\frac{f_{\\max}}{0.75} \\times 0.6 + 4f_{\\max} \\times 0.8 = 6.4f_{\\max}$\u3002\u89e3\u5f97 $f_{\\max} = 56.25 \\text{ N}$\u3002
\n4\uff09\u6469\u64e6\u529b\u5bf9\u6728\u6813\u548c\u6728\u6599\u5206\u522b\u505a\u529f\uff08\u6cd5\u5411\u6a21\u578b\uff09
\n\u6469\u64e6\u529b\u6cbf\u659c\u9762\u65b9\u5411\u3002\u6728\u6813\u7ad6\u76f4\u5411\u4e0b\u4f4d\u79fb\u4e3a $x$\uff0c\u5176\u5728\u659c\u9762\u65b9\u5411\u7684\u5206\u4f4d\u79fb\u4e3a $x \\sin 53^\\circ$\u3002
\n\u5bf9\u6728\u6813\u505a\u529f\uff1a\u6ed1\u52a8\u6469\u64e6\u529b\u59cb\u7ec8\u963b\u788d\u6728\u6813\u76f8\u5bf9\u8fd0\u52a8\uff0c\u505a\u8d1f\u529f\u3002\u7ed3\u5408\u540e\u7eed\u529b\u5b66\u51e0\u4f55\u6bd4\u4f8b\u53ef\u77e5\uff0c\u6469\u64e6\u529b\u7ad6\u76f4\u5206\u529b\u6240\u505a\u7684\u603b\u529f\u4e3a $9 \\text{ J}$\uff0c\u6545\u6469\u64e6\u529b\u5bf9\u6728\u6813\u505a\u529f $W_{f,\u6813} = -9 \\text{ J}$\u3002
\n\u5bf9\u6728\u6599\u505a\u529f\uff1a\u6cd5\u5411\u6a21\u578b\u4e0b\uff0c\u6728\u6599\u4ec5\u6709\u5782\u76f4\u659c\u9762\u5411\u91cc\u7684\u4f4d\u79fb\uff0c\u6cbf\u659c\u9762\u5207\u5411\u4f4d\u79fb\u4e3a $0$\u3002\u529b\u4e0e\u4f4d\u79fb\u5782\u76f4\uff0c\u6545\u6469\u64e6\u529b\u5bf9\u6728\u6599\u505a\u529f $W_{f,\u6599} = 0 \\text{ J}$\u3002
\n5\uff09\u652f\u6301\u529b\u5bf9\u6728\u6813\u548c\u6728\u6599\u5206\u522b\u505a\u529f\uff08\u6cd5\u5411\u6a21\u578b\uff09
\n\u5bf9\u6728\u6813\u505a\u529f\uff1a\u652f\u6301\u529b\u659c\u5411\u4e0a\uff0c\u963b\u788d\u6728\u6813\u4e0b\u843d\u3002\u7531\u4e8e\u963b\u529b\u603b\u529f\u4e3a $-18 \\text{ J}$\uff0c\u6469\u64e6\u529b\u5206\u62c5\u4e86 $-9 \\text{ J}$\uff0c\u6545\u652f\u6301\u529b\u5bf9\u6728\u6813\u505a\u529f $W_{N,\u6813} = -9 \\text{ J}$\u3002
\n\u5bf9\u6728\u6599\u505a\u529f\uff1a\u6728\u6599\u5728\u6cd5\u5411\u5411\u91cc\u53d1\u751f\u9000\u8ba9\u4f4d\u79fb $d_{\u6cd5\u5411} = x \\cos 53^\\circ$\u3002\u652f\u6301\u529b\u65b9\u5411\u4e0e\u4f4d\u79fb\u65b9\u5411\u76f8\u540c\uff0c\u505a\u6b63\u529f\u3002\u6839\u636e\u4f5c\u7528\u529b\u4e0e\u53cd\u4f5c\u7528\u529b\u505a\u529f\u7279\u6027\uff0c\u4f4d\u79fb\u5728\u529b\u65b9\u5411\u6295\u5f71\u76f8\u7b49\uff0c\u6545 $W_{N,\u6599} = +9 \\text{ J}$\u3002
\n6\uff09\u7cfb\u7edf\u4ea7\u751f\u7684\u70ed\u91cf
\n\u7cfb\u7edf\u4ea7\u751f\u7684\u70ed\u91cf\u7b49\u4e8e\u4e00\u5bf9\u6469\u64e6\u529b\u505a\u529f\u7684\u4ee3\u6570\u548c\u7684\u7edd\u5bf9\u503c\uff1a$Q = |W_{f,\u6813} + W_{f,\u6599}| = |-9 + 0| \\text{ J} = 9 \\text{ J}$\u3002
\n7\uff09\u652f\u6301\u529b\u5bf9\u7cfb\u7edf\u505a\u7684\u603b\u529f
\n$W_{N,\u603b} = W_{N,\u6813} + W_{N,\u6599} = -9 \\text{ J} + 9 \\text{ J} = 0 \\text{ J}$\u3002\uff08\u6ce8\uff1a\u4e00\u5bf9\u4e0d\u53d1\u751f\u8131\u79bb\u7684\u63a5\u89e6\u9762\u95f4\u7684\u5f39\u529b\uff0c\u5bf9\u7cfb\u7edf\u505a\u529f\u4e4b\u548c\u6c38\u8fdc\u4e3a\u96f6\uff09\u3002
\n8\uff09\u6728\u6599\u83b7\u5f97\u7684\u5f39\u6027\u52bf\u80fd
\n\u6728\u6599\u52a8\u80fd\u672a\u53d8\uff0c\u6839\u636e\u52a8\u80fd\u5b9a\u7406\uff0c\u6728\u6599\u5438\u6536\u7684\u603b\u529f\u8f6c\u5316\u4e3a\u5f39\u6027\u52bf\u80fd\uff1a$E_p = W_{N,\u6599} + W_{f,\u6599} = 9 \\text{ J} + 0 \\text{ J} = 9 \\text{ J}$\u3002\uff08\u4ea6\u53ef\u7531\u7cfb\u7edf\u80fd\u91cf\u5b88\u6052\u9a8c\u8bc1\uff1a$E_{\u603b} = E_p + Q \\implies 18 \\text{ J} = E_p + 9 \\text{ J}$\uff0c\u6545 $E_p = 9 \\text{ J}$\uff09\u3002\"\"
\n\u6728\u6813\u5171\u51cf\u5c1118\u7126\u8033\u7684\u673a\u68b0\u80fd\uff0c\u51cf\u5c11\u7684\u80fd\u91cf\u6709\u4e24\u4e2a\u6d41\u5411\uff0c\u901a\u8fc7\u514b\u670d\u6469\u6aab\u529b\u505a\u529f\u4ea7\u751f9J\u70ed\u91cf\uff0c\u652f\u6301\u529b\u5145\u5f53\u4e86\u642c\u8fd0\u5de5\u7684\u89d2\u8272\uff0c\u5bf9\u6728\u6813\u505a\u8d1f\u529f\uff0c\u5bf9\u6728\u5757\u505a\u6b63\u529f\uff0c\u5c06\u6728\u6813\u5269\u4e0b\u76849J\u7684\u673a\u68b0\u80fd\u8f6c\u79fb\u5230\u6728\u6599\u7684\u5f39\u6027\u52bf\u80fd\u4e2d\uff0c\u80fd\u91cf\u6d41\u52a8\u5982\u4e0b\u56fe\u6240\u793a\uff1a
\n9\uff09[\u6559\u7814\u62d3\u5c55]\u6a2a\u5411\u81a8\u80c0\u6a21\u578b\u4e0b\u7684\u771f\u5b9e\u80fd\u91cf\u5206\u914d<\/span>
\n\u82e5\u6728\u6599\u53d1\u751f\u6574\u4f53\u6c34\u5e73\u5411\u5916\u7684\u81a8\u80c0\uff0c\u5219\u51e0\u4f55\u4f4d\u79fb\u53d1\u751f\u6839\u672c\u6539\u53d8\u3002\u6728\u6599\u6c34\u5e73\u5411\u5916\u4f4d\u79fb $d_{\u5e73} = x \\cot 53^\\circ = 0.075 \\text{ m}$\u3002\u5728\u6b64\u6a21\u578b\u4e0b\uff0c\u5f39\u529b\u548c\u6469\u64e6\u529b\u4f9d\u7136\u5fc5\u987b\u63d0\u4f9b\u5171\u8ba1 $180 \\text{ N}$ \u7684\u5e73\u5747\u7ad6\u76f4\u963b\u529b\u3002
\n\u6469\u64e6\u529b\u5bf9\u6728\u6599\u505a\u529f\uff1a\u6469\u64e6\u529b\u659c\u5411\u4e0b\uff0c\u5177\u6709\u6c34\u5e73\u5411\u5185\u7684\u5206\u529b\uff0c\u963b\u788d\u6728\u6599\u5411\u5916\u81a8\u80c0\uff0c\u505a\u8d1f\u529f\u3002$W_{f,\u6599} = \\bar{f}_{\u603b} \\cos 53^\\circ \\times (-d_{\u5e73}) = -5.0625 \\text{ J}$\u3002
\n\u652f\u6301\u529b\u5bf9\u6728\u6599\u505a\u529f\uff1a$W_{N,\u6599} = \\bar{N}_{\u603b} \\sin 53^\\circ \\times d_{\u5e73} = +9 \\text{ J}$\u3002\uff08\u5f39\u529b\u6b63\u529f\u5728\u6b64\u6a21\u578b\u4e0b\u4f9d\u7136\u4e3a $9 \\text{ J}$\uff09\u3002
\n\u7cfb\u7edf\u4ea7\u751f\u7684\u70ed\u91cf $Q$\uff1a$Q = |W_{f,\u6813} + W_{f,\u6599}| = |-9 \\text{ J} + (-5.0625 \\text{ J})| = 14.0625 \\text{ J}$\u3002
\n\u6728\u6599\u83b7\u5f97\u7684\u5f39\u6027\u52bf\u80fd $E_p$\uff1a$E_p = W_{N,\u6599} + W_{f,\u6599} = 9 \\text{ J} – 5.0625 \\text{ J} = 3.9375 \\text{ J}$\u3002
\n\u7ed3\u8bba\uff1a\u5728\u6a2a\u5411\u81a8\u80c0\u6a21\u578b\u4e2d\uff0c\u7531\u4e8e\u6469\u64e6\u529b\u5bf9\u6728\u6599\u505a\u8d1f\u529f\uff0c\u6d88\u8017\u4e86\u5f39\u529b\u505a\u7684\u4e00\u90e8\u5206\u6b63\u529f\uff0c\u5bfc\u81f4\u6700\u7ec8\u8f6c\u5316\u6210\u7684\u5f39\u6027\u52bf\u80fd\u51cf\u5c11\uff08$3.9375 \\text{J}$\uff09\uff0c\u800c\u6469\u64e6\u751f\u70ed\u56e0\u4e3a\u76f8\u5bf9\u6ed1\u52a8\u8def\u7a0b\u53d8\u957f\u800c\u589e\u52a0\uff08$14.0625 \\text{J}$\uff09\u3002\u80fd\u91cf\u603b\u548c $14.0625 + 3.9375 = 18 \\text{J}$\uff0c\u7cfb\u7edf\u80fd\u91cf\u4f9d\u7136\u5b88\u6052\u3002\u80fd\u91cf\u6d41\u52a8\u5982\u4e0b\u56fe\u6240\u793a\uff1a<\/p>\n

\"\"<\/p>\n","protected":false},"excerpt":{"rendered":"

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