{"id":23351,"date":"2026-01-23T16:01:26","date_gmt":"2026-01-23T21:01:26","guid":{"rendered":"https:\/\/www.purdue.edu\/freeform\/me274\/?p=23351"},"modified":"2026-04-22T16:26:20","modified_gmt":"2026-04-22T20:26:20","slug":"homework-h1-i-sp-26","status":"publish","type":"post","link":"https:\/\/www.purdue.edu\/freeform\/me274\/2026\/01\/23\/homework-h1-i-sp-26\/","title":{"rendered":"Homework H1.I &#8211; Sp 26"},"content":{"rendered":"<table style=\"width: 100%;border-collapse: collapse;background-color: #faf7f7\">\n<tbody>\n<tr>\n<td style=\"width: 100%\"><a href=\"https:\/\/www.purdue.edu\/freeform\/me274\/wp-content\/uploads\/sites\/15\/2026\/01\/Untitled-2-4.pdf\"><span style=\"font-size: 12pt\"><em><strong>Problem statement<\/strong><\/em><\/span><\/a><br \/>\n<span style=\"font-size: 12pt\"><em><strong><a href=\"https:\/\/youtu.be\/o69TFY6G05w\">Solution video<\/a><br \/>\n<\/strong><\/em><\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<hr \/>\n<p><em><strong><span style=\"font-size: 14pt\">DISCUSSION THREAD<\/span><\/strong><\/em><\/p>\n<div data-post-id=\"13210\" class=\"insert-page insert-page-13210 \"><p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-medium wp-image-13211 aligncenter\" src=\"https:\/\/www.purdue.edu\/freeform\/me274\/wp-content\/uploads\/sites\/15\/2022\/01\/Screen-Shot-2022-01-03-at-4.48.09-PM-300x295.jpg\" alt=\"\" width=\"300\" height=\"295\" srcset=\"https:\/\/www.purdue.edu\/freeform\/me274\/wp-content\/uploads\/sites\/15\/2022\/01\/Screen-Shot-2022-01-03-at-4.48.09-PM-300x295.jpg 300w, https:\/\/www.purdue.edu\/freeform\/me274\/wp-content\/uploads\/sites\/15\/2022\/01\/Screen-Shot-2022-01-03-at-4.48.09-PM-768x755.jpg 768w, https:\/\/www.purdue.edu\/freeform\/me274\/wp-content\/uploads\/sites\/15\/2022\/01\/Screen-Shot-2022-01-03-at-4.48.09-PM.jpg 960w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/p>\n<p><em><strong>Discussion and hints:<\/strong><\/em><\/p>\n<p>This is a typical cable-pulley problem for us in this course. Here, we need to first write the length of the cable,<em> L<\/em>, in terms of the position variables of <em>s<sub>A<\/sub><\/em> and <em>s<sub>B<\/sub><\/em>, along with some constants. Since it is assumed that the cable does not break, go slack or stretch, the length <em>L<\/em> is constant. Take a time derivative of the expression above for <em>L<\/em>. This relates the speeds of blocks A and B.<\/p>\n<p>Carefully study the animation of the motion of this cable-pulley system provided below. One of the questions asked of you is the speed of B when <em>s<sub>A<\/sub><\/em> = 0. What do you see in the animation below as <em>s<sub>A<\/sub><\/em> passes through zero? Does your equation above tell you the same thing?<\/p>\n<p>&nbsp;<\/p>\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\/01\/H1D_04_new.gif\" width=\"548\" height=\"426\" \/><\/p>\n<hr \/>\n<p>Any questions??<\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Problem statement Solution video DISCUSSION THREAD<\/p>\n","protected":false},"author":10,"featured_media":0,"comment_status":"closed","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-23351","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\/23351","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=23351"}],"version-history":[{"count":10,"href":"https:\/\/www.purdue.edu\/freeform\/me274\/wp-json\/wp\/v2\/posts\/23351\/revisions"}],"predecessor-version":[{"id":23802,"href":"https:\/\/www.purdue.edu\/freeform\/me274\/wp-json\/wp\/v2\/posts\/23351\/revisions\/23802"}],"wp:attachment":[{"href":"https:\/\/www.purdue.edu\/freeform\/me274\/wp-json\/wp\/v2\/media?parent=23351"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.purdue.edu\/freeform\/me274\/wp-json\/wp\/v2\/categories?post=23351"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.purdue.edu\/freeform\/me274\/wp-json\/wp\/v2\/tags?post=23351"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}