{"id":1369,"date":"2021-06-30T05:01:08","date_gmt":"2021-06-30T05:01:08","guid":{"rendered":"https:\/\/books.compclassnotes.com\/rothphys110-2e\/?p=1369"},"modified":"2021-12-30T19:10:46","modified_gmt":"2021-12-30T19:10:46","slug":"section-11-4-v2","status":"publish","type":"post","link":"https:\/\/books.compclassnotes.com\/rothphys110-2e\/2021\/06\/30\/section-11-4-v2\/","title":{"rendered":"Chapter 11: Torque"},"content":{"rendered":"\n<h2 class=\"wp-block-heading\">11.4 Problem solving<\/h2>\n\n\n\n<p>The process for solving problems with torque is nearly identical to the process for solving problems with force (see <a rel=\"noreferrer noopener\" href=\"https:\/\/books.compclassnotes.com\/rothphys110-2e\/2021\/06\/29\/sections-9-4-v2\/\" target=\"_blank\">section 9.4<\/a>). However, instead of a free body diagram\u2014which represents the system as a single point\u2014we\u2019ll use an <em>extended<\/em> free body diagram (E-FBD); with torque, the location where the force is applied is important. <\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Example 11.5<\/h4>\n\n\n\n<p>A plank of wood is resting on two sawhorses. A cat is sitting on the plank between the two sawhorses, closer to one than the other. The plank has a uniform mass distribution. Draw a free body diagram and an extended free body diagram for the plank of wood.<\/p>\n\n\n\n<p>The plank has four forces acting on it: a normal force of each sawhorse pushing directly up on the plank, the weight of the plank pulling down, and the weight of the cat pushing down.<\/p>\n\n\n\n<p>For the free body diagram, the plank is represented as a single point with the forces acting on it:<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-large is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/books.compclassnotes.com\/rothphys110-2e\/wp-content\/uploads\/sites\/11\/2021\/06\/plank-FBD.jpg\" alt=\"A dot has four arrows extending from it. Two arrows, slightly offset from one another, point directly up; one is labeled F superscript N subscript 1 and the other is labeled F superscript N subscript 2. The other two arrows, slightly offset from one another, point directly down; one is labeled F superscript G subscript c, and the other is labeled F superscript G subscript w.\" class=\"wp-image-1371\" width=\"191\" height=\"309\" srcset=\"https:\/\/books.compclassnotes.com\/rothphys110-2e\/wp-content\/uploads\/sites\/11\/2021\/06\/plank-FBD.jpg 382w, https:\/\/books.compclassnotes.com\/rothphys110-2e\/wp-content\/uploads\/sites\/11\/2021\/06\/plank-FBD-185x300.jpg 185w\" sizes=\"auto, (max-width: 191px) 100vw, 191px\" \/><figcaption>Free body diagram for the plank<\/figcaption><\/figure><\/div>\n\n\n\n<p>For the extended free body diagram, we show <em>where<\/em> the forces are exerted on the plank:<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-large is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/books.compclassnotes.com\/rothphys110-2e\/wp-content\/uploads\/sites\/11\/2021\/06\/plank-EFBD-1024x663.jpg\" alt=\"A long, narrow rectangle has four arrows extending from it. A short distance in from the left end of the rectangle is an arrow pointing straight up, labeled F superscript N subscript 1. A little bit farther to the right is an arrow pointing straight down, labeled F superscript G subscript c. Midway along the rectangle is an arrow pointing straight down labeled F superscript G subscript w. A short distance in from the right end is an arrow pointing straight up, labeled F superscript N subscript 2.\" class=\"wp-image-1372\" width=\"512\" height=\"332\" srcset=\"https:\/\/books.compclassnotes.com\/rothphys110-2e\/wp-content\/uploads\/sites\/11\/2021\/06\/plank-EFBD-1024x663.jpg 1024w, https:\/\/books.compclassnotes.com\/rothphys110-2e\/wp-content\/uploads\/sites\/11\/2021\/06\/plank-EFBD-300x194.jpg 300w, https:\/\/books.compclassnotes.com\/rothphys110-2e\/wp-content\/uploads\/sites\/11\/2021\/06\/plank-EFBD-768x498.jpg 768w, https:\/\/books.compclassnotes.com\/rothphys110-2e\/wp-content\/uploads\/sites\/11\/2021\/06\/plank-EFBD.jpg 1184w\" sizes=\"auto, (max-width: 512px) 100vw, 512px\" \/><figcaption>Extended free body diagram for the plank<\/figcaption><\/figure><\/div>\n\n\n\n<p>Note the weight of the plank \\(\\left(F^G_w\\right)\\) is located at the center of the plank. Since the mass of the wood is uniformly distributed, the center of mass is in the center of the plank.<\/p>\n\n\n\n","protected":false},"excerpt":{"rendered":"<p>11.4 Problem solving The process for solving problems with torque is nearly identical to the process for solving problems with force (see section 9.4). However, instead of a free body diagram\u2014which represents the system as a single point\u2014we\u2019ll use an <span class=\"readmore\"><a href=\"https:\/\/books.compclassnotes.com\/rothphys110-2e\/2021\/06\/30\/section-11-4-v2\/\">Continue Reading<\/a><\/span><\/p>\n","protected":false},"author":3,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-1369","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"_links":{"self":[{"href":"https:\/\/books.compclassnotes.com\/rothphys110-2e\/wp-json\/wp\/v2\/posts\/1369","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/books.compclassnotes.com\/rothphys110-2e\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/books.compclassnotes.com\/rothphys110-2e\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/books.compclassnotes.com\/rothphys110-2e\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/books.compclassnotes.com\/rothphys110-2e\/wp-json\/wp\/v2\/comments?post=1369"}],"version-history":[{"count":17,"href":"https:\/\/books.compclassnotes.com\/rothphys110-2e\/wp-json\/wp\/v2\/posts\/1369\/revisions"}],"predecessor-version":[{"id":1660,"href":"https:\/\/books.compclassnotes.com\/rothphys110-2e\/wp-json\/wp\/v2\/posts\/1369\/revisions\/1660"}],"wp:attachment":[{"href":"https:\/\/books.compclassnotes.com\/rothphys110-2e\/wp-json\/wp\/v2\/media?parent=1369"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/books.compclassnotes.com\/rothphys110-2e\/wp-json\/wp\/v2\/categories?post=1369"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/books.compclassnotes.com\/rothphys110-2e\/wp-json\/wp\/v2\/tags?post=1369"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}