{"id":23379,"date":"2026-01-28T08:00:51","date_gmt":"2026-01-28T13:00:51","guid":{"rendered":"https:\/\/www.purdue.edu\/freeform\/me274\/?p=23379"},"modified":"2026-02-01T12:17:09","modified_gmt":"2026-02-01T17:17:09","slug":"homework-h2-c-sp-26","status":"publish","type":"post","link":"https:\/\/www.purdue.edu\/freeform\/me274\/2026\/01\/28\/homework-h2-c-sp-26\/","title":{"rendered":"Homework H2.C – Sp 26"},"content":{"rendered":"\n\n\n
Problem statement<\/strong><\/em><\/span><\/a>
\nSolution video<\/a>
\n<\/strong><\/em><\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n
\n

DISCUSSION THREAD<\/span><\/strong><\/em><\/p>\n

\"\"<\/p>\n

Ask your questions here. And, consider answering questions of your colleagues here. Either way, you can learn.<\/p>\n

\n

DISCUSSION and HINTS<\/strong><\/em><\/p>\n

In this problem, end A of the bar is constrained to move along a straight horizontal path with a constant<\/em> speed of vA<\/sub><\/em>, whereas end B is constrained to move along a straight, angled path. As you can see in the animation below of the motion of the bar, the speed of B is NOT a constant (the acceleration of B is non-zero, and is, in fact, increasing as B moves along its path).<\/p>\n

In your solution, it is recommended that you use the rigid body kinematics equations relating the motion of ends A and B:<\/p>\n

v<\/strong>B<\/sub> = v<\/strong>A<\/sub> + \u03c9<\/strong>\u00a0x r<\/strong>B\/A
\n<\/sub><\/em>a<\/strong>B<\/sub> = a<\/strong>A<\/sub> + \u03b1<\/strong> x r<\/strong>B\/A<\/sub> – \u03c92<\/sup>r<\/strong>B\/A<\/sub><\/em><\/p>\n

For these equations, you know: i) the magnitude and direction for the velocity of A; ii) that the acceleration of A is zero (constant speed along a straight path); and, iii) the direction for the velocity and acceleration of B. These two vector equations produce four scalar equations that can be solved for four scalar unknowns: vB<\/sub>, aB<\/sub>, \u03c9<\/em>\u00a0and \u03b1<\/em>.<\/p>\n

<\/strong><\/em><\/p>\n

\u00a0<\/strong><\/em><\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"

Problem statement Solution video DISCUSSION THREAD<\/p>\n","protected":false},"author":10,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"categories":[2],"tags":[],"class_list":["post-23379","post","type-post","status-publish","format-standard","hentry","category-chapter-1-homework"],"_links":{"self":[{"href":"https:\/\/www.purdue.edu\/freeform\/me274\/wp-json\/wp\/v2\/posts\/23379","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.purdue.edu\/freeform\/me274\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.purdue.edu\/freeform\/me274\/wp-json\/wp\/v2\/types\/post"}],"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=23379"}],"version-history":[{"count":4,"href":"https:\/\/www.purdue.edu\/freeform\/me274\/wp-json\/wp\/v2\/posts\/23379\/revisions"}],"predecessor-version":[{"id":23853,"href":"https:\/\/www.purdue.edu\/freeform\/me274\/wp-json\/wp\/v2\/posts\/23379\/revisions\/23853"}],"wp:attachment":[{"href":"https:\/\/www.purdue.edu\/freeform\/me274\/wp-json\/wp\/v2\/media?parent=23379"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.purdue.edu\/freeform\/me274\/wp-json\/wp\/v2\/categories?post=23379"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.purdue.edu\/freeform\/me274\/wp-json\/wp\/v2\/tags?post=23379"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}