{"id":253,"date":"2023-06-23T06:39:35","date_gmt":"2023-06-23T06:39:35","guid":{"rendered":"https:\/\/physigeek.com\/cn\/%e6%96%9c%e9%9d%a2\/"},"modified":"2023-06-23T06:39:35","modified_gmt":"2023-06-23T06:39:35","slug":"%e6%96%9c%e9%9d%a2","status":"publish","type":"post","link":"https:\/\/physigeek.com\/cn\/%e6%96%9c%e9%9d%a2\/","title":{"rendered":"\u659c\u9762"},"content":{"rendered":"<p>\u672c\u6587\u89e3\u91ca\u4e86\u4ec0\u4e48\u662f\u7269\u7406\u5b66\u4e2d\u7684\u659c\u9762\u4ee5\u53ca\u5982\u4f55\u89e3\u51b3\u6b64\u7c7b\u95ee\u9898\u3002\u60a8\u5c06\u627e\u5230\u4f5c\u7528\u5728\u659c\u9762\u4e0a\u7684\u529b\u7684\u516c\u5f0f\uff0c\u6b64\u5916\uff0c\u60a8\u5c06\u80fd\u591f\u901a\u8fc7\u5728\u659c\u9762\u4e0a\u9010\u6b65\u89e3\u51b3\u7684\u7ec3\u4e60\u8fdb\u884c\u8bad\u7ec3\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%C2%BFQue-es-un-plano-inclinado\"><\/span>\u4ec0\u4e48\u662f\u659c\u9762\uff1f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>\u659c\u9762<\/strong>\u662f\u503e\u659c\u4e00\u5b9a\u89d2\u5ea6\u7684\u8868\u9762\u3002\u5728\u7269\u7406\u5b66\u4e2d\uff0c\u659c\u9762\u7528\u4e8e\u7ec3\u4e60\u529b\u91cf\u95ee\u9898\u3002<\/p>\n<p>\u4f8b\u5982\uff0c\u5761\u9053\u6216\u503e\u659c\u7684\u9053\u8def\u90fd\u662f\u659c\u9762\u3002<\/p>\n<p>\u503e\u659c\u5e73\u9762\u4f7f\u60a8\u53ef\u4ee5\u7528\u8f83\u5c0f\u7684\u529b\u8fd0\u8f93\u7269\u4f53\u3002\u56e0\u4e3a\u5728\u503e\u659c\u5e73\u9762\u4e0a\u63a8\u52a8\u7269\u4f53\u6bd4\u5782\u76f4\u4e3e\u8d77\u7269\u4f53\u6240\u9700\u7684\u529b\u66f4\u5c0f\u3002<\/p>\n<p>\u6b64\u5916\uff0c\u659c\u9762\u88ab\u8ba4\u4e3a\u662f\u516d\u79cd\u7ecf\u5178\u7b80\u5355\u673a\u68b0\u4e4b\u4e00\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Formulas-del-plano-inclinado\"><\/span>\u659c\u9762\u516c\u5f0f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u73b0\u5728\u6211\u4eec\u77e5\u9053\u4e86\u659c\u9762\u7684\u5b9a\u4e49\uff0c\u8ba9\u6211\u4eec\u770b\u770b\u4ec0\u4e48\u516c\u5f0f\u4f5c\u7528\u4e8e\u659c\u9762\u4ee5\u53ca\u4ec0\u4e48\u65b9\u7a0b\u5c06\u5b83\u4eec\u8fde\u63a5\u8d77\u6765\u3002<\/p>\n<p>\u6211\u4eec\u5728\u659c\u9762\u7ec3\u4e60\u4e2d\u9047\u5230\u7684\u7b2c\u4e00\u4e2a\u95ee\u9898\u662f\u5927\u90e8\u5206\u529b\u4f5c\u7528\u5728\u5e73\u884c\u6216\u5782\u76f4\u4e8e\u659c\u9762\u7684\u65b9\u5411\u4e0a\u3002\u56e0\u6b64\uff0c\u5178\u578b\u7684\u5750\u6807\u8f74\uff08\u4e00\u4e2a\u5782\u76f4\u8f74\u548c\u4e00\u4e2a\u6c34\u5e73\u8f74\uff09\u5bf9\u4e8e\u6b64\u7c7b\u95ee\u9898\u5e76\u4e0d\u662f\u5f88\u6709\u7528\u3002\u8fd9\u5c31\u662f\u4e3a\u4ec0\u4e48\u4e00\u822c\u6765\u8bf4\uff0c\u5728\u659c\u9762\u4e2d\uff0c\u6211\u4eec\u4f7f\u7528\u4e0d\u540c\u7684\u5750\u6807\u7cfb\uff1a <\/p>\n<figure class=\"wp-block-image aligncenter size-full is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/plan-incline.png\" alt=\"\u659c\u9762\" class=\"wp-image-4369\" width=\"391\" height=\"368\" srcset=\"https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/plan-incline-300x283.png 300w, https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/plan-incline-768x724.png 768w, https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/plan-incline.png 1010w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\"><\/figure>\n<p><strong>\u5728\u7269\u7406\u5b66\u4e2d\uff0c\u4e3a\u4e86\u89e3\u51b3\u659c\u9762\u95ee\u9898\uff0c\u6211\u4eec\u4f7f\u7528\u4e24\u4e2a\u4e0d\u540c\u7684\u8f74\uff1a<\/strong>\u7b2c\u4e00\u8f74\u7684\u65b9\u5411\u5e73\u884c\u4e8e\u659c\u9762\uff0c\u7b2c\u4e8c\u8f74\u7684\u65b9\u5411\u5782\u76f4\u4e8e\u659c\u9762\u3002<\/p>\n<p>\u53e6\u5916\uff0c\u6b63\u5982\u60a8\u5728\u56fe\u50cf\u4e2d\u6240\u770b\u5230\u7684\uff0c<strong>\u4e09\u79cd\u4e0d\u540c\u7684\u529b\u901a\u5e38\u4f5c\u7528\u5728\u659c\u9762\u4e0a<\/strong>\uff08\u5982\u679c\u6709\u6469\u64e6\u529b\uff09\uff1a\u91cd\u529b\u3001\u6cd5\u5411\u529b\u548c\u6469\u64e6\u529b\uff08\u6216\u6469\u64e6\u529b\uff09\u3002\u4f46\u4ece\u903b\u8f91\u4e0a\u8bb2\uff0c\u5982\u679c\u659c\u9762\u4e0a\u6ca1\u6709\u6469\u64e6\u529b\uff0c\u5219\u6469\u64e6\u529b\u53ef\u4ee5\u5ffd\u7565\u4e0d\u8ba1\u3002<\/p>\n<p>\u7136\u800c\uff0c\u91cd\u7269\u7684\u529b\u88ab\u77e2\u91cf\u5206\u89e3\u4e3a\u4e24\u4e2a\u5206\u91cf\uff1a\u5e73\u884c\u4e8e\u659c\u9762\u7684\u5206\u91cf\u548c\u5782\u76f4\u4e8e\u659c\u9762\u7684\u53e6\u4e00\u4e2a\u5206\u91cf\u3002\u8fd9\u6837\uff0c\u6240\u6709\u7684\u529b\u90fd\u53ef\u4ee5\u5728\u659c\u9762\u7684\u5de5\u4f5c\u8f74\u4e0a\u8868\u8fbe\u3002\u56e0\u6b64\uff0c\u653e\u7f6e\u5728\u659c\u9762\u4e0a\u7684\u7269\u4f53\u91cd\u91cf\u7684\u4e24\u4e2a\u5206\u91cf\u53ef\u4ee5\u901a\u8fc7\u503e\u659c\u89d2\u7684\u6b63\u5f26\u548c\u4f59\u5f26\u6765\u8ba1\u7b97\uff1a<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-a26edbf89d563f1351d0ec9771f7e7bc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P_1=m\\cdot g\\cdot \\text{sen}(\\alpha)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"142\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-f5f191747feef04cf0a63f61a6b56cfd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P_2=m\\cdot g\\cdot \\text{cos}(\\alpha)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"141\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u6700\u540e\uff0c\u4f5c\u7528\u5728\u659c\u9762\u4e0a\u7684\u529b\u53ef\u4ee5\u901a\u8fc7\u4ee5\u4e0b\u4e24\u4e2a\u516c\u5f0f\u5173\u8054\uff1a <\/p>\n<figure class=\"wp-block-image aligncenter size-full is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/formules-du-plan-incline.png\" alt=\"\u659c\u9762\u516c\u5f0f\" class=\"wp-image-4388\" width=\"491\" height=\"151\" srcset=\"https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/formules-du-plan-incline-300x93.png 300w, https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/formules-du-plan-incline-768x237.png 768w, https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/formules-du-plan-incline.png 1022w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\"><\/figure>\n<p>\u8bf7\u6ce8\u610f\uff0c\u5982\u679c\u95ee\u9898\u9648\u8ff0\u6ca1\u6709\u53e6\u5916\u8bf4\u660e\uff0c\u503e\u659c\u5e73\u9762\u4e0a\u7684\u7269\u4f53\u53ef\u80fd\u4f1a\u4ece\u659c\u5761\u4e0a\u6ed1\u4e0b\uff0c\u8fd9\u5c31\u662f\u4e3a\u4ec0\u4e48\u5e73\u884c\u4e8e\u5e73\u9762\u7684\u8f74\u7684\u65b9\u7a0b\u4e2d\u5305\u542b\u53ef\u80fd\u7684\u52a0\u901f\u5ea6\u7684\u539f\u56e0\u3002\u53e6\u4e00\u65b9\u9762\uff0c\u7269\u4f53\u4e0d\u80fd\u6cbf\u5782\u76f4\u4e8e\u659c\u9762\u7684\u8f74\u7ebf\u65b9\u5411\u79fb\u52a8\uff0c\u56e0\u6b64\u529b\u7684\u603b\u548c\u4e3a\u96f6\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ejemplo-resuelto-del-plano-inclinado\"><\/span>\u659c\u9762\u7684\u6c42\u89e3\u793a\u4f8b<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u4e3a\u4e86\u8ba9\u60a8\u4e86\u89e3\u7269\u7406\u5b66\u4e2d\u5982\u4f55\u89e3\u51b3\u659c\u9762\u95ee\u9898\uff0c\u60a8\u53ef\u4ee5\u67e5\u770b\u4e0b\u9762\u7684\u9010\u6b65\u89e3\u51b3\u793a\u4f8b\u3002<\/p>\n<ul>\n<li>\u6211\u4eec\u5c06\u8d28\u91cf m=6 kg \u7684\u7269\u4f53\u653e\u7f6e\u5728\u503e\u659c 45\u00b0 \u7684\u5e73\u9762\u7684\u9876\u90e8\u3002\u5982\u679c\u7269\u4f53\u4ee54 m\/s <sup>2<\/sup>\u7684\u52a0\u901f\u5ea6\u5728\u659c\u9762\u4e0a\u6ed1\u52a8\uff0c\u5219\u659c\u9762\u8868\u9762\u4e0e\u7269\u4f53\u8868\u9762\u4e4b\u95f4\u7684\u52a8\u6469\u64e6\u7cfb\u6570\u662f\u591a\u5c11\uff1f\u6570\u636e\uff1ag=10m\/s <sup>2<\/sup> \u3002 <\/li>\n<\/ul>\n<figure class=\"wp-block-image aligncenter size-full is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/probleme-resolu-coefficient-de-frottement-dynamique.png\" alt=\"\u6469\u64e6\u7cfb\u6570\u6216\u52a8\u6469\u64e6\u95ee\u9898\" class=\"wp-image-4281\" width=\"203\" height=\"205\" srcset=\"https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/probleme-resolu-coefficient-de-frottement-dynamique-298x300.png 298w, https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/probleme-resolu-coefficient-de-frottement-dynamique-150x150.png 150w, https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/probleme-resolu-coefficient-de-frottement-dynamique.png 479w\" sizes=\"auto, (max-width: 298px) 100vw, 298px\"><\/figure>\n<p class=\"has-text-align-left\">\u8981\u89e3\u51b3\u4efb\u4f55\u6709\u5173\u52a8\u529b\u5b66\u7684\u7269\u7406\u95ee\u9898\uff0c\u6211\u4eec\u9700\u8981\u505a\u7684\u7b2c\u4e00\u4ef6\u4e8b\u5c31\u662f\u7ed8\u5236\u81ea\u7531\u4f53\u56fe\u3002\u56e0\u6b64\uff0c\u4f5c\u7528\u5728\u7cfb\u7edf\u4e0a\u7684\u6240\u6709\u529b\u662f\uff1a <\/p>\n<figure class=\"wp-block-image aligncenter size-full is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/exercice-resolu-force-de-friction-dynamique.png\" alt=\"\u89e3\u51b3\u4e86\u6469\u64e6\u7cfb\u6570\u6216\u52a8\u6469\u64e6\u7684\u7ec3\u4e60\" class=\"wp-image-4282\" width=\"248\" height=\"301\" srcset=\"https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/exercice-resolu-force-de-friction-dynamique-247x300.png 247w, https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/exercice-resolu-force-de-friction-dynamique.png 572w\" sizes=\"auto, (max-width: 247px) 100vw, 247px\"><\/figure>\n<p class=\"has-text-align-left\">\u5728\u8f74 1 \u7684\u65b9\u5411\uff08\u5e73\u884c\u4e8e\u659c\u9762\uff09\uff0c\u7269\u4f53\u6709\u52a0\u901f\u5ea6\uff0c\u4f46\u5728\u8f74 2 \u7684\u65b9\u5411\uff08\u5782\u76f4\u4e8e\u659c\u9762\uff09\uff0c\u7269\u4f53\u5904\u4e8e\u9759\u6b62\u72b6\u6001\u3002\u6839\u636e\u8fd9\u4e9b\u4fe1\u606f\uff0c\u6211\u4eec\u5efa\u7acb\u4e86\u7cfb\u7edf\u529b\u7684\u65b9\u7a0b\uff1a<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-d87a1ef6aaa3476891df5da8334cbc49_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P_1-F_R=m\\cdot a\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"124\" style=\"vertical-align: -3px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-6bdf90ed250934bf6cffbb110bc792a4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P_2-N=0\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"90\" style=\"vertical-align: -3px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u56e0\u6b64\uff0c\u6211\u4eec\u53ef\u4ee5\u4ece\u7b2c\u4e8c\u4e2a\u65b9\u7a0b\u8ba1\u7b97\u6cd5\u5411\u529b\uff1a<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-59341555fe3d5fe315ceb1864547873b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{l}N=P_2\\\\[3ex]N=m\\cdot g\\cdot \\text{cos}(\\alpha) \\\\[3ex] N=6 \\cdot 10 \\cdot \\ text{cos}(45\u00ba)\\\\[3ex]N=42,43 \\ N\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"151\" width=\"185\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u53e6\u4e00\u65b9\u9762\uff0c\u6211\u4eec\u6839\u636e\u7b2c\u4e00\u4e2a\u65b9\u7a0b\u8ba1\u7b97\u6469\u64e6\u529b\uff08\u6216\u6469\u64e6\u529b\uff09\u7684\u503c\uff1a<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-d8f2aff2a81d98ddcea04b1988282fda_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{l}P_1-F_R=m\\cdot a\\\\[3ex]F_R=P_1-m\\cdot a\\\\[3ex]F_R=m\\cdot g\\cdot \\text{sin} (\\alpha)-m\\cdot a\\\\[3ex]F_R=6\\cdot 10\\cdot \\text{sin}(45\u00ba)-6\\cdot 4\\\\[3ex]F_R=18.43 \\ N\\end{ array} \" title=\"Rendered by QuickLaTeX.com\" height=\"195\" width=\"204\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u4e00\u65e6\u6211\u4eec\u77e5\u9053\u6cd5\u5411\u529b\u548c\u6469\u64e6\u529b\u7684\u503c\uff0c\u6211\u4eec\u5c31\u53ef\u4ee5\u4f7f\u7528\u76f8\u5e94\u7684\u516c\u5f0f\u786e\u5b9a\u52a8\u6469\u64e6\u7cfb\u6570\uff1a <\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-b783c9e37bcf4d077d9496489fc5d7d6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\mu_d=\\cfrac{F_R}{N}=\\cfrac{18.43}{43.43}=0.42\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"187\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ejercicios-resueltos-del-plano-inclinado\"><\/span>\u5728\u659c\u9762\u4e0a\u89e3\u51b3\u7684\u7ec3\u4e60<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<h3 class=\"wp-block-heading\">\u7ec3\u4e601<\/h3>\n<p>\u6211\u4eec\u5c06\u4e00\u4e2a\u8d28\u91cf\u4e3a m=2 kg \u7684\u7269\u4f53\u653e\u7f6e\u5728\u4e00\u4e2a\u503e\u659c\u89d2\u4e3a 30\u00b0 \u7684\u659c\u9762\u7684\u9876\u90e8\u3002\u5982\u679c\u540e\u8005\u4fdd\u6301\u5e73\u8861\uff0c\u659c\u5761\u548c\u7269\u4f53\u4e4b\u95f4\u7684\u6469\u64e6\u7cfb\u6570\u662f\u591a\u5c11\uff1f\u6570\u636e\uff1ag=9.81 m\/s <sup>2<\/sup> <\/p>\n<figure class=\"wp-block-image aligncenter size-full is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/probleme-de-force-normale-et-de-force-de-friction.png\" alt=\"\" class=\"wp-image-4253\" width=\"285\" height=\"176\" srcset=\"https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/probleme-de-force-normale-et-de-force-de-friction-300x185.png 300w, https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/probleme-de-force-normale-et-de-force-de-friction.png 702w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\"><\/figure>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__FFF8E1\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#FFF8E1\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"><strong>\u67e5\u770b\u89e3\u51b3\u65b9\u6848<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u4e0e\u4efb\u4f55\u6d89\u53ca\u529b\u7684\u7269\u7406\u95ee\u9898\u4e00\u6837\uff0c\u9996\u5148\u8981\u505a\u7684\u662f\u7ed8\u5236\u7cfb\u7edf\u7684\u81ea\u7531\u4f53\u56fe\u3002\u6240\u4ee5\uff0c\u5728\u8fd9\u4e2a\u7cfb\u7edf\u4e2d\u8d77\u4f5c\u7528\u7684\u6240\u6709\u529b\u91cf\u662f\uff1a <\/p>\n<figure class=\"wp-block-image aligncenter size-full is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/exercice-resolu-force-normale-et-friction-force.png\" alt=\"\u89e3\u51b3\u6cd5\u5411\u529b\u548c\u6469\u64e6\u529b\u7684\u7ec3\u4e60\" class=\"wp-image-4254\" width=\"285\" height=\"333\" srcset=\"https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/exercice-resolu-force-normale-et-friction-force-256x300.png 256w, https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/exercice-resolu-force-normale-et-friction-force.png 702w\" sizes=\"auto, (max-width: 256px) 100vw, 256px\"><\/figure>\n<p class=\"has-text-align-left\">\u56e0\u6b64\uff0c\u4e3a\u4e86\u4f7f\u7cfb\u7edf\u5904\u4e8e\u5e73\u8861\u72b6\u6001\uff0c\u8f74 1 \u548c\u8f74 2 \u4e0a\u7684\u529b\u4e4b\u548c\u5fc5\u987b\u7b49\u4e8e 0\u3002\u56e0\u6b64\uff0c\u4ee5\u4e0b\u7b49\u5f0f\u6210\u7acb\uff1a<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-a692b08b4d7c08a2c55556233dc56651_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"F_R=P_1\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"63\" style=\"vertical-align: -3px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-ea3f790cf878ca23f77405f73a20e7c6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"N=P_2\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"58\" style=\"vertical-align: -3px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u6211\u4eec\u73b0\u5728\u53ef\u4ee5\u4ece\u7b2c\u4e8c\u4e2a\u65b9\u7a0b\u8ba1\u7b97\u6cd5\u5411\u529b\u7684\u503c\uff1a<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-780db8c589b96d398e1400444a11db30_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{l}N=P_2\\\\[3ex]N=P\\cdot \\text{cos}(\\alpha)\\\\[3ex]N=m \\cdot g\\cdot \\text{cos }(\\alpha)\\\\[3ex]N=2 \\cdot 9,81 \\cdot \\text{cos}(30\\text{\u00ba})\\\\[3ex]N=16,99 \\ N\\end{array} \" title=\"Rendered by QuickLaTeX.com\" height=\"196\" width=\"171\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u53e6\u4e00\u65b9\u9762\uff0c\u6211\u4eec\u4f7f\u7528\u7b2c\u4e00\u4e2a\u65b9\u7a0b\u786e\u5b9a\u6469\u64e6\u529b\u7684\u503c\uff1a<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-bef5af0f3a7e907aa90f08435f538cf7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{l}F_R=P_1\\\\[3ex]N=P\\cdot \\text{sin}(\\alpha)\\\\[3ex]F_R=m \\cdot g\\cdot \\text{sin }(\\alpha)\\\\[3ex]F_R=2 \\cdot 9,81 \\cdot \\text{sin}(30\\text{\u00ba})\\\\[3ex]F_R=9,81 \\ N\\end{array} \" title=\"Rendered by QuickLaTeX.com\" height=\"196\" width=\"175\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u540c\u6837\uff0c\u6469\u64e6\u529b\u53ef\u4ee5\u4f7f\u7528\u4ee5\u4e0b\u516c\u5f0f\u4e0e\u6cd5\u5411\u529b\u548c\u6469\u64e6\u7cfb\u6570\u76f8\u5173\uff1a<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-b8e2dc6a1180d664163aeb969b289073_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"F_R=\\mu \\cdot N\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"86\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u56e0\u6b64\uff0c\u6211\u4eec\u4ece\u65b9\u7a0b\u4e2d\u6c42\u89e3\u6469\u64e6\u7cfb\u6570\u5e76\u8ba1\u7b97\u5176\u503c\uff1a <\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-2bee3710c7506bf8ff2456662a57f279_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\mu=\\cfrac{F_R}{N}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"59\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-69da73a9c8ca8ef047563bcb0b957d4b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\mu=\\cfrac{9,81}{16,99}\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"80\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-87da99c1b6541f3ad374e4ebb3e9daf1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{\\mu=0.58}\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"66\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\u7ec3\u4e602<\/h3>\n<p>\u6b63\u5982\u6211\u4eec\u5728\u4ee5\u4e0b\u7531\u659c\u9762\u548c\u6ed1\u8f6e\u5f62\u6210\u7684\u7cfb\u7edf\u4e2d\u770b\u5230\u7684\u90a3\u6837\uff0c\u4e24\u4e2a\u7269\u4f53\u901a\u8fc7\u8d28\u91cf\u53ef\u5ffd\u7565\u4e0d\u8ba1\u7684\u7ef3\u7d22\u548c\u6ed1\u8f6e\u8fde\u63a5\u3002\u5982\u679c\u7269\u4f53 2 \u7684\u8d28\u91cf\u4e3a m <sub>2<\/sub> = 7 kg\uff0c\u659c\u5761\u7684\u503e\u89d2\u4e3a 50\u00b0\uff0c\u8bf7\u8ba1\u7b97\u659c\u9762\u65bd\u52a0\u5728\u8d28\u91cf\u4e3a m <sub>1<\/sub>\u7684\u7269\u4f53\u4e0a\u7684\u6cd5\u5411\u529b\uff0c\u4ee5\u4f7f\u6574\u4e2a\u7cfb\u7edf\u5904\u4e8e\u5e73\u8861\u72b6\u6001\u3002\u5728\u6574\u4e2a\u7ec3\u4e60\u8fc7\u7a0b\u4e2d\u5ffd\u7565\u6469\u64e6\u529b\u3002 <\/p>\n<figure class=\"wp-block-image aligncenter size-full is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/probleme-dequilibre-des-forces.png\" alt=\"\u5e73\u79fb\u5e73\u8861\u95ee\u9898\" class=\"wp-image-295\" width=\"299\" height=\"240\" srcset=\"https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/probleme-dequilibre-des-forces-300x241.png 300w, https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/probleme-dequilibre-des-forces.png 718w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\"><\/figure>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__FFF8E1\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#FFF8E1\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"><strong>\u67e5\u770b\u89e3\u51b3\u65b9\u6848<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u7269\u4f53 1 \u4f4d\u4e8e\u503e\u659c\u7684\u659c\u5761\u4e0a\uff0c\u56e0\u6b64\u9996\u5148\u8981\u505a\u7684\u662f\u5c06\u5176\u91cd\u91cf\u7684\u529b\u77e2\u91cf\u5316\uff0c\u4f7f\u529b\u4f5c\u7528\u5728\u659c\u5761\u7684\u8f74\u4e0a\uff1a <\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-c05811c44aa2d58295c811d612a54eee_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P_{1x}=P_1\\cdot \\text{sin}(\\alpha)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"128\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-1a0b77602980cc17cce9b3baef744df8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P_{1y}=P_1\\cdot \\text{cos}(\\alpha)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"130\" style=\"vertical-align: -6px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u56e0\u6b64\uff0c\u4f5c\u7528\u5728\u6574\u4e2a\u7cfb\u7edf\u4e0a\u7684\u4e00\u7ec4\u529b\u662f\uff1a <\/p>\n<figure class=\"wp-block-image aligncenter size-full is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/exercice-resolu-equilibre-des-forces.png\" alt=\"\u5e73\u79fb\u5e73\u8861\u7ec3\u4e60\u5df2\u89e3\u51b3\" class=\"wp-image-296\" width=\"338\" height=\"272\" srcset=\"https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/exercice-resolu-equilibre-des-forces-300x241.png 300w, https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/exercice-resolu-equilibre-des-forces.png 718w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\"><\/figure>\n<p class=\"has-text-align-left\">\u95ee\u9898\u9648\u8ff0\u544a\u8bc9\u6211\u4eec\uff0c\u529b\u7cfb\u7edf\u5904\u4e8e\u5e73\u8861\u72b6\u6001\uff0c\u56e0\u6b64\u4e24\u4e2a\u7269\u4f53\u5fc5\u987b\u5904\u4e8e\u5e73\u8861\u72b6\u6001\u3002\u6839\u636e\u8fd9\u4e9b\u4fe1\u606f\uff0c\u6211\u4eec\u53ef\u4ee5\u63d0\u51fa\u4e24\u4e2a\u7269\u4f53\u7684\u5e73\u8861\u65b9\u7a0b\uff1a <\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-b62bbb21cbec2be0bba7f8a839b12ba9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"1\\ \\rightarrow \\ \\begin{cases}P_{1x}=T\\\\[2ex]P_{1y}=N\\end{cases} \\qquad\\qquad 2 \\ \\rightarrow \\ T=P_2[\/latex ] Par cons\u00e9quent, la composante vectorielle du poids du corps 1 inclin\u00e9 dans le sens de la pente doit \u00eatre \u00e9gale au poids de l'objet 2. [latex]P_{1x}=P_2\" title=\"Rendered by QuickLaTeX.com\" height=\"83\" width=\"1404\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-4e1b75b6ba5d7bbe88d23e014eb011c5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P_1\\cdot \\text{sin}(\\alpha)=P_2\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"120\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u6839\u636e\u524d\u9762\u7684\u65b9\u7a0b\uff0c\u6211\u4eec\u53ef\u4ee5\u8ba1\u7b97\u51fa\u7269\u4f53 1 \u7684\u8d28\u91cf\uff1a <\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-06a53a846ad5bc034f69fa05488404c4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m_1\\cdot g \\cdot \\text{sin}(\\alpha) =m_2 \\cdot g\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"174\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-802fde26f3388538d766a709d60cf48b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m_1 \\cdot \\text{sin}(\\alpha) =m_2\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"130\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-16ae359d38a8a11d1b1db4988b8eeaf1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m_1 \\cdot \\text{sin}(50\\text{\u00ba}) =7\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"130\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-4249c6e274233595f50eedc1da64f56f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m_1 =\\cfrac{7}{\\text{sin}(50\\text{\u00ba})}\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"111\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-6e80f0daabb2167ec2f6622b08001a97_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m_1=9,14 \\ kg\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"106\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u53e6\u4e00\u65b9\u9762\uff0c\u5982\u679c\u6211\u4eec\u67e5\u770b\u7cfb\u7edf\u7684\u529b\u56fe\uff0c\u6211\u4eec\u4f1a\u53d1\u73b0\u6cd5\u5411\u529b\u5fc5\u987b\u7b49\u4e8e\u7269\u4f53 1 \u7684\u91cd\u91cf\u5782\u76f4\u4e8e\u659c\u9762\u7684\u77e2\u91cf\u5206\u91cf\u3002 <\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-82b47c80ab7ef66a41fc4d4425032831_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P_{1y}=N\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"66\" style=\"vertical-align: -6px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-56ad7b690b37b3f53ca20597e165860b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P_1\\cdot \\text{cos}(\\alpha)=N\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"120\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u56e0\u6b64\uff0c\u4ece\u8fd9\u4e2a\u65b9\u7a0b\u6211\u4eec\u53ef\u4ee5\u627e\u5230\u6cd5\u5411\u529b\u7684\u503c\uff1a <\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-4a591e86900fca256cfa079da1bd0461_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{l}N=P_1\\cdot \\text{cos}(\\alpha)\\\\[3ex]N=m_1 \\cdot g\\cdot \\text{cos}(\\alpha)\\\\[ 3ex]N=9,14 \\cdot 9,81 \\cdot \\text{cos}(50\\text{\u00ba})\\\\[3ex]N=\\bm{57,63 \\ N}\\end{array}[\/ latex]\n\n<div class=&quot;wp-block-otfm-box-spoiler-end otfm-sp_end&quot;><\/div>\n<h3 class=&quot;wp-block-heading&quot;> Exercice 3<\/h3>\n<p> Un tra\u00eeneau de 70 kg glisse sur une pente de 30\u00ba avec une vitesse initiale de 2 m\/s. Si le coefficient de frottement dynamique entre le tra\u00eeneau et la neige est de 0,2, calculez la vitesse que le tra\u00eeneau acquerra apr\u00e8s avoir parcouru 20 m\u00e8tres. Donn\u00e9es : g=10 m\/s <sup>2<\/sup> . <\/p>\n<div class=&quot;wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__FFF8E1&quot; role=&quot;button&quot; tabindex=&quot;0&quot; aria-expanded=&quot;false&quot; data-otfm-spc=&quot;#FFF8E1&quot; style=&quot;text-align:center&quot;>\n<div class=&quot;otfm-sp__title&quot;> <strong>Voir la solution<\/strong><\/div>\n<\/div>\n<p> Tout d&#8217;abord, nous r\u00e9alisons le sch\u00e9ma corporel libre du tra\u00eeneau : <\/p>\n<figure class=&quot;wp-block-image aligncenter size-full is-resized&quot;><img decoding=&quot;async&quot; loading=&quot;lazy&quot; src=&quot;https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/exercice-resolu-plan-incline.png&quot; alt=&quot;exercice r\u00e9solu de la force de frottement ou de frottement sur un plan inclin\u00e9&quot; class=&quot;wp-image-4345&quot; width=&quot;305&quot; height=&quot;355&quot; srcset=&quot;https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/exercice-resolu-plan-incline-258x300.png 258w, https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/exercice-resolu-plan-incline.png 706w&quot; sizes=&quot;(max-width: 258px) 100vw, 258px&quot;><\/figure>\n<p> Le tra\u00eeneau a une acc\u00e9l\u00e9ration dans la direction de l&#8217;axe 1 (parall\u00e8le au plan inclin\u00e9) mais reste au repos dans la direction de l&#8217;axe 2 (perpendiculaire au plan inclin\u00e9), donc les \u00e9quations des forces sont : [latex]P_1-F_R=m\\cdot a&#8221; title=&#8221;Rendered by QuickLaTeX.com&#8221; height=&#8221;213&#8243; width=&#8221;8731&#8243; style=&#8221;vertical-align: 0px;&#8221;><\/p>\n<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-6bdf90ed250934bf6cffbb110bc792a4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P_2-N=0\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"90\" style=\"vertical-align: -3px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u4ece\u7b2c\u4e8c\u4e2a\u65b9\u7a0b\u6211\u4eec\u53ef\u4ee5\u8ba1\u7b97\u51fa\u4f5c\u7528\u5728\u96ea\u6a47\u4e0a\u7684\u6cd5\u5411\u529b<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-90b32b903f8be520ec73748b3de9b8b3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{l}N=P_2\\\\[3ex]N=m\\cdot g\\cdot \\text{cos}(\\alpha) \\\\[3ex] N=70 \\cdot 10 \\cdot \\ text{cos}(30\u00ba)\\\\[3ex]N=606,22 \\ N\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"151\" width=\"194\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u65e2\u7136\u6211\u4eec\u73b0\u5728\u77e5\u9053\u4e86\u6cd5\u5411\u529b\u7684\u503c\u548c\u52a8\u6469\u64e6\u7cfb\u6570\uff0c\u6211\u4eec\u5c31\u53ef\u4ee5\u901a\u8fc7\u5e94\u7528\u76f8\u5e94\u7684\u516c\u5f0f\u6765\u8ba1\u7b97\u6469\u64e6\u529b\uff1a<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-e0a32cc7650b33325233258788c218d4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"F_R=\\mu\\cdot N=0,2 \\cdot 606,22=121,24 \\ N \" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"298\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u56e0\u6b64\uff0c\u4e3a\u4e86\u786e\u5b9a\u6700\u7ec8\u901f\u5ea6\uff0c\u6211\u4eec\u5fc5\u987b\u9996\u5148\u627e\u5230\u96ea\u6a47\u7684\u52a0\u901f\u5ea6\uff0c\u8fd9\u53ef\u4ee5\u6839\u636e\u7b2c\u4e00\u4e2a\u529b\u65b9\u7a0b\u8ba1\u7b97\u51fa\u6765\uff1a <\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-d87a1ef6aaa3476891df5da8334cbc49_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P_1-F_R=m\\cdot a\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"124\" style=\"vertical-align: -3px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-fa13e0490f51e32ac03b455043f6f32d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a=\\cfrac{P_1-F_R}{m}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"99\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-a6274d836af5618f7ef99e7f179c3902_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a=\\cfrac{m\\cdot g\\cdot \\text{sin}(\\alpha)-F_R}{m}\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"177\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-a3a9db70462cd187d50b851ede83983f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a=\\cfrac{70\\cdot 10\\cdot \\text{sin}(30\u00ba)-121.24}{70}\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"221\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-ba0d7325efa059351cc3d9aef838a9e2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a=3,27 \\ \\cfrac{m}{s^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"34\" width=\"92\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u4e00\u65e6\u6211\u4eec\u77e5\u9053\u4e86\u96ea\u6a47\u7684\u52a0\u901f\u5ea6\uff0c\u6211\u4eec\u5c31\u53ef\u4ee5\u7528\u5300\u52a0\u901f\u5ea6\u76f4\u7ebf\u8fd0\u52a8\u65b9\u7a0b\u8ba1\u7b97\u51fa\u884c\u9a76 20 \u7c73\u6240\u9700\u7684\u65f6\u95f4\uff1a <\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-69f632cd171007df0f5bd6f0fa458a5c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=v_0\\cdot t +\\cfrac{1}{2}\\cdot a \\cdot t^2\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"150\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-b97ac72bf22d70273fece0cce195f4ca_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"20=2\\cdot t +\\cfrac{1}{2}\\cdot 3.27 \\cdot t^2\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"172\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-11a99cb686bf68cbcca594d0d60f801b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"0=1,64t^2+2t-20\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"158\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-7aa7e01e70b4199d597d05e261c970df_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle t=\\cfrac{-2\\pm \\sqrt{2^2-4\\cdot 1.64\\cdot (-20)}}{2\\cdot 1.64}=\\cfrac{-2\\ pm 11.63}{ 3.28}=\\begin{cases}2.94\\\\[2ex]-4.15 \\ \\color{red}\\bm{\\times}\\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"507\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u4ece\u903b\u8f91\u4e0a\u8bb2\uff0c\u6211\u4eec\u6392\u9664\u8d1f\u89e3\uff0c\u56e0\u4e3a\u65f6\u95f4\u662f\u4e00\u4e2a\u4e0d\u80fd\u4e3a\u8d1f\u7684\u7269\u7406\u91cf\u3002<\/p>\n<p class=\"has-text-align-left\">\u6700\u540e\uff0c\u6211\u4eec\u4f7f\u7528\u6052\u5b9a\u52a0\u901f\u5ea6\u516c\u5f0f\u8ba1\u7b97\u6700\u7ec8\u901f\u5ea6\uff1a <\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-5ace98bfb166f5b813f593760fcfa048_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a=\\cfrac{v_f-v_0}{t_f-t_0}\\quad \\longrightarrow \\quad v_f=a\\cdot (t_f-t_0)+v_0\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"330\" style=\"vertical-align: -18px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-817a054f54a84b5a88667fc794feeb4d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"v_f=3.27\\cdot (2.94-0)+2=\\bm{11.61} \\ \\cfrac{\\bm{m}}{\\bm{s}}\" title=\"Rendered by QuickLaTeX.com\" height=\"34\" width=\"280\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u672c\u6587\u89e3\u91ca\u4e86\u4ec0\u4e48\u662f\u7269\u7406\u5b66\u4e2d\u7684\u659c\u9762\u4ee5\u53ca\u5982\u4f55\u89e3\u51b3\u6b64\u7c7b\u95ee\u9898\u3002\u60a8\u5c06\u627e\u5230\u4f5c\u7528\u5728\u659c\u9762\u4e0a\u7684\u529b\u7684\u516c\u5f0f\uff0c\u6b64\u5916\uff0c\u60a8\u5c06\u80fd\u591f\u901a\u8fc7\u5728\u659c\u9762\u4e0a &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/physigeek.com\/cn\/%e6%96%9c%e9%9d%a2\/\"> <span class=\"screen-reader-text\">\u659c\u9762<\/span> \u67e5\u770b\u5168\u6587 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