{"id":19609,"date":"2021-01-10T22:37:35","date_gmt":"2021-01-10T14:37:35","guid":{"rendered":"http:\/\/www.qiusir.com\/?p=19609"},"modified":"2026-06-01T11:24:37","modified_gmt":"2026-06-01T03:24:37","slug":"%e4%b8%80%e9%81%93%e7%ab%8b%e4%bd%93%e7%9a%84%e6%91%a9%e6%93%a6%e5%8a%9b%e9%a2%98","status":"publish","type":"post","link":"https:\/\/www.qiusir.com\/?p=19609","title":{"rendered":"\u4e00\u9053\u7acb\u4f53\u6a21\u578b\u7684\u6469\u64e6\u529b\u9898"},"content":{"rendered":"

\"\"<\/center>
\n\u4e24\u6839\u957f\u5706\u67f1\u8f74\u5b8c\u5168\u76f8\u540c\u3001\u8f74\u7ebf\u5728\u540c\u4e00\u9762\u5185\uff0c\u4e14\u5e73\u9762\u4e0e\u6c34\u5e73\u9762\u5939\u89d2\u4e3a\u03b8=30\u00b0\u3002\u73b0\u5c06\u4e00\u4e2a\u5927\u7684\u5300\u8d28\u5706\u67f1\u4f53\u653e\u7f6e\u4e24\u8f74\u4e4b\u95f4\uff0c\u4e14\u5927\u5706\u67f1\u4f53\u8f74\u7ebf\u5206\u522b\u4e0e\u4e24\u957f\u5706\u67f1\u4f53\u8f74\u7684\u8f74\u7ebf\u5f62\u6210\u7684\u4e24\u4e2a\u5e73\u9762\u5939\u89d2\u4e3a\u03b1=60\u00b0\u3002\u8bd5\u6c42\u89e3\u4ee5\u4e0b\u95ee\u9898\uff1a
\n\u4e00\u3001\u82e5\u5927\u5706\u67f1\u4f53\u6070\u597d\u9759\u6b62\u5728\u8f74\u4e0a\uff0c\u53ef\u8ba4\u4e3a\u6ed1\u52a8\u6469\u64e6\u529b\u4e0e\u6700\u5927\u9759\u6469\u64e6\u529b\u76f8\u7b49\uff0c\u5219\u5927\u5706\u67f1\u4f53\u4e0e\u8f74\u4e4b\u95f4\u7684\u52a8\u6469\u64e6\u56e0\u6570\u03bc\u5e94\u6ee1\u8db3\u4ec0\u4e48\u6761\u4ef6\uff1f
\n\u4e8c\u3001\u5df2\u77e5\u67d0\u79cd\u6750\u8d28\u7684\u5927\u5706\u67f1\u4f53\u4e0e\u8f74\u7684\u52a8\u6469\u64e6\u56e0\u6570\u03bc=2\u3002\u67d0\u4e00\u65f6\u523b\uff0c\u5de6\u4fa7\u8f74\u505a\u9006\u65f6\u9488\u8f6c\u52a8\uff0c\u540c\u65f6\u53f3\u4fa7\u8f74\u505a\u987a\u65f6\u9488\u8f6c\u52a8<\/strong>\uff0c\u4e24\u8f74\u8f6c\u52a8\u65f6\u8fb9\u7f18\u5904\u7684\u7ebf\u901f\u5ea6\u5927\u5c0f\u5747\u4e3av=3m\/s\uff0c\u5219\u7531\u4e8e\u5927\u5706\u67f1\u4f53\u53d7\u529b\u53d1\u751f\u53d8\u5316\u9020\u6210\u5176\u5c06\u6cbf\u8f74\u4e0b\u6ed1\uff0c\u6c42\u5927\u5706\u67f1\u4f53\u4e0b\u6ed1\u7a33\u5b9a\u65f6\u7684\u901f\u5ea6\u3002
\n
\n\u4e00\uff1a
\n$2F_Ncos{\\frac{\\alpha}{2}}=mgcos{\\theta}$
\n$2F_f=mgsin{\\theta}$
\n$F_f\\leq\\mu F_N$
\n$\\mu\\geq0.5$
\n\u4e8c\uff1a
\n$2f_1sin{\\frac{\\alpha}{2}}+2F_Ncos{\\frac{\\alpha}{2}}=mgcos{\\theta}$
\n$2f_2=mgsin{\\theta}$
\n$\\sqrt{{f_1}^2+{f_2}^2}=\\mu F_N$
\n$45\\frac{f_2}{f_1}+\\frac{f_1}{f_2}=16\\sqrt{3}$
\n\u5f97$\\frac{f_2}{f_1}=\\frac{\\sqrt{3}}{3}$\u6216$\\frac{1}{15\\sqrt{3}}$
\n$\\frac{v_1}{v_2}=\\frac{f_1}{f_2}$
\n$v_2=\\sqrt{3}$m\/s \u6216$\\frac{\\sqrt{3}}{15}$m\/s
\n\u5bf9\u4e8e\u4e0a\u9762\u7684\u89e3\uff0c\u6d2a\u8bda\u5929\u540c\u5b66\u68c0\u6d4b\u5230\u7b2c\u4e8c\u4e2a\u7ed3\u679c\u5bf9\u5e94\u7684$F_N$\u662f\u8d1f\u7684\u3002\uff08\u67f1\u4f53\u548c\u8f68\u9053\u6709\u78c1\u6027\u5438\u5f15\u7684\u8bdd\uff1f\uff09
\n\u5982\u679c\u76f4\u63a5\u5f15\u5165\u4e24\u4e2a\u6469\u64e6\u529b\u7684\u5939\u89d2$\\beta$
\n\u4ee3\u5165$f_1=\\mu F_Nsin\\beta$ $f_2=\\mu F_Ncos\\beta$\uff0c\u8f6c\u5316\u6210\u6b63\u5207\u8ba1\u7b97\u540c\u6837\u4f1a\u51fa\u73b0\u4e0a\u8ff0\u95ee\u9898\uff0c$x^2-16\\sqrt{3}x+45=0$\uff0c\u5f97$\\sqrt{3}$\u6216$15\\sqrt{3}$\uff08\u589e\u6839\u7684\u51fa\u73b0\u5e94\u662f\u5e73\u65b9\u5bfc\u81f4\u5ffd\u89c6\u4e86\u652f\u6301\u529b\u4e3a\u6b63\u7684\u9690\u542b\u6761\u4ef6…\uff09
\n\u800c\u6c42\u89e3$cos\\beta$\uff0c\u4f1a\u76f4\u63a5\u68c0\u9a8c\u51fa\u589e\u6839\uff0c$52x^2+4\\sqrt{3}x-45=0$\u5f97$\\frac{\\sqrt{3}}{2}$\u6216$-\\frac{15\\sqrt{3}}{26}$\uff08\u820d\uff09\u3002
\n\u6d2a\u540c\u5b66\u5f88\u806a\u660e\uff0c\u7279\u5730\u8bbe\u5b9a\uff1a
\n$f_1=\\mu F_Ncos\\varphi$ $f_2=\\mu F_Nsin\\varphi$\uff08\u524d\u9762$\\beta$\u7684\u4f59\u89d2\uff09\uff0c\u5316\u7b80\u540e\u65b9\u7a0b\u76f8\u5bf9\u53cb\u5584\uff1a
\n$52x^2-24x-1=0$
\n\u6c42\u89e3$sin\\varphi=\\frac{1}{2}$\u6216$-\\frac{1}{26}$\uff08\u820d\uff09
\n\u6240\u4ee5$v_2=\\sqrt{3}$m\/s<\/p>\n

\u8bfe\u4ee3\u8868\u827a\u535a\u95ee\u8d77\u4e94\u6821\u8054\u8003\u7684\u8fd9\u9053\u9898\u76ee\uff0c\u8bf4\u662f\u5b66\u4e60\u8ba4\u771f\u7684\u963f\u57ce\u53d1\u73b0\u7b54\u6848\u6709\u95ee\u9898\uff0c\u6d2a\u540c\u5b66\u63d0\u4f9b\u4e86\u7b80\u6d01\u7684\u505a\u6cd5\u3002\u5403\u8fc7\u665a\u996d\u7528GeoGebra\u6784\u9020\u4e86\u4e2a\u7acb\u4f53\u6a21\u578b\uff0c\u5077\u61d2\u7528wolframalpha\u89e3\u4e86\u65b9\u7a0b<\/em>…
\n\u8865\u5145\u4e00\u9053\u5e38\u89c4\u9898
\n\"2025\"
\n\uff08150\u30010.6\u3001480\uff09
\n\u66f4\u57fa\u7840\u4e00\u70b9\u7684\uff1a[?<\/a>] <\/p>\n","protected":false},"excerpt":{"rendered":"

\u4e24\u6839\u957f\u5706\u67f1\u8f74\u5b8c\u5168\u76f8\u540c\u3001\u8f74\u7ebf\u5728\u540c\u4e00\u9762\u5185\uff0c\u4e14\u5e73\u9762\u4e0e\u6c34\u5e73\u9762\u5939\u89d2\u4e3a\u03b8=30\u00b0\u3002\u73b0\u5c06\u4e00\u4e2a\u5927\u7684\u5300\u8d28\u5706\u67f1\u4f53\u653e\u7f6e\u4e24\u8f74\u4e4b\u95f4\uff0c\u4e14\u5927 … \u9605\u8bfb\u66f4\u591a<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"ngg_post_thumbnail":0,"footnotes":""},"categories":[12],"tags":[247,263],"class_list":["post-19609","post","type-post","status-publish","format-standard","hentry","category-g3","tag-physics","tag-teach"],"_links":{"self":[{"href":"https:\/\/www.qiusir.com\/index.php?rest_route=\/wp\/v2\/posts\/19609","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\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.qiusir.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=19609"}],"version-history":[{"count":3,"href":"https:\/\/www.qiusir.com\/index.php?rest_route=\/wp\/v2\/posts\/19609\/revisions"}],"predecessor-version":[{"id":48121,"href":"https:\/\/www.qiusir.com\/index.php?rest_route=\/wp\/v2\/posts\/19609\/revisions\/48121"}],"wp:attachment":[{"href":"https:\/\/www.qiusir.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=19609"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.qiusir.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=19609"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.qiusir.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=19609"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}