{"id":15929,"date":"2022-06-02T12:16:44","date_gmt":"2022-06-02T16:16:44","guid":{"rendered":"https:\/\/www.purdue.edu\/freeform\/me274\/?page_id=15929"},"modified":"2024-10-05T18:08:50","modified_gmt":"2024-10-05T22:08:50","slug":"homework-h5-a-43","status":"publish","type":"page","link":"https:\/\/www.purdue.edu\/freeform\/me274\/chapter-5-discussion\/homework-h5-a-43\/","title":{"rendered":"Homework H5.A.43"},"content":{"rendered":"<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-15930 aligncenter\" src=\"https:\/\/www.purdue.edu\/freeform\/me274\/wp-content\/uploads\/sites\/15\/2022\/06\/Screen-Shot-2022-06-02-at-12.16.24-PM.jpg\" alt=\"\" width=\"264\" height=\"270\" \/><\/p>\n<p>Any questions??<\/p>\n<hr \/>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter\" style=\"border: 1px solid #000000\" src=\"https:\/\/www.purdue.edu\/freeform\/me274\/wp-content\/uploads\/sites\/15\/2022\/06\/H5A_43.gif\" width=\"538\" height=\"167\" \/><\/p>\n<p><em><span style=\"text-decoration: underline\">Four-step plan:<\/span><\/em><\/p>\n<p><em><strong>Step 1<\/strong><\/em> &#8211; FBD: Draw <em>individual<\/em> FBDs of the bar and the block.<\/p>\n<p><em><strong>Step 2<\/strong><\/em> &#8211; Kinetics: Using your FBDs above, write down the Newton\/Euler equations for the block and the bar. Be careful with your moment equation for the bar &#8211; since the bar does not have a fixed point, you need to use the center of mass of the bar for your moment equation.<\/p>\n<p><em><strong>Step 3<\/strong><\/em> &#8211; Kinematics: You need to relate the acceleration of the block to the acceleration of the center of mass, G, of the bar through the rigid body acceleration equation:<br \/>\n<em><em style=\"font-size: 16px\"><strong>a<\/strong><sub>G<\/sub> = <strong>a<\/strong><sub>O<\/sub> + <strong>\u03b1<\/strong><sub>bar<\/sub> x <strong>r<\/strong><sub>G\/O<\/sub> &#8211; \u03c9<sub>bar<\/sub><sup>2<\/sup> <strong>r<\/strong><sub>G\/O<\/sub>\u00a0<\/em><\/em><\/p>\n<p><em><strong>Step 4<\/strong><\/em> &#8211; Solve<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Any questions?? Four-step plan: Step 1 &#8211; FBD: Draw individual FBDs of the bar and the block. Step 2 &#8211; Kinetics: Using your FBDs above, write down the Newton\/Euler equations for the block and the bar. Be careful with your moment equation for the bar &#8211; since the bar does not have a fixed point, &hellip; <a href=\"https:\/\/www.purdue.edu\/freeform\/me274\/chapter-5-discussion\/homework-h5-a-43\/\" class=\"more-link\">Continue reading <span class=\"screen-reader-text\">Homework H5.A.43<\/span> <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":10,"featured_media":0,"parent":14985,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"class_list":["post-15929","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/www.purdue.edu\/freeform\/me274\/wp-json\/wp\/v2\/pages\/15929","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.purdue.edu\/freeform\/me274\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.purdue.edu\/freeform\/me274\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.purdue.edu\/freeform\/me274\/wp-json\/wp\/v2\/users\/10"}],"replies":[{"embeddable":true,"href":"https:\/\/www.purdue.edu\/freeform\/me274\/wp-json\/wp\/v2\/comments?post=15929"}],"version-history":[{"count":4,"href":"https:\/\/www.purdue.edu\/freeform\/me274\/wp-json\/wp\/v2\/pages\/15929\/revisions"}],"predecessor-version":[{"id":16039,"href":"https:\/\/www.purdue.edu\/freeform\/me274\/wp-json\/wp\/v2\/pages\/15929\/revisions\/16039"}],"up":[{"embeddable":true,"href":"https:\/\/www.purdue.edu\/freeform\/me274\/wp-json\/wp\/v2\/pages\/14985"}],"wp:attachment":[{"href":"https:\/\/www.purdue.edu\/freeform\/me274\/wp-json\/wp\/v2\/media?parent=15929"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}