{"id":24126,"date":"2026-02-25T08:01:44","date_gmt":"2026-02-25T13:01:44","guid":{"rendered":"https:\/\/www.purdue.edu\/freeform\/me274\/?p=24126"},"modified":"2026-03-02T23:38:05","modified_gmt":"2026-03-03T04:38:05","slug":"homework-h4-e-sp24x","status":"publish","type":"post","link":"https:\/\/www.purdue.edu\/freeform\/me274\/2026\/02\/25\/homework-h4-e-sp24x\/","title":{"rendered":"Homework H4.E &#8211; Sp24x"},"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\/02\/h4_E.pdf\"><span style=\"font-size: 12pt\"><em><strong>Problem statement<\/strong><\/em><\/span><\/a><br \/>\n<a href=\"https:\/\/youtu.be\/XnExi9w9e0g\"><span style=\"font-size: 12pt\"><em><strong>Solution video<\/strong><\/em><\/span><\/a><\/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=\"18310\" class=\"insert-page insert-page-18310 \"><div class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-medium wp-image-18312 aligncenter\" src=\"https:\/\/www.purdue.edu\/freeform\/me274\/wp-content\/uploads\/sites\/15\/2023\/02\/Screen-Shot-2023-02-11-at-4.10.17-PM-300x238.jpg\" alt=\"\" width=\"300\" height=\"238\" srcset=\"https:\/\/www.purdue.edu\/freeform\/me274\/wp-content\/uploads\/sites\/15\/2023\/02\/Screen-Shot-2023-02-11-at-4.10.17-PM-300x238.jpg 300w, https:\/\/www.purdue.edu\/freeform\/me274\/wp-content\/uploads\/sites\/15\/2023\/02\/Screen-Shot-2023-02-11-at-4.10.17-PM.jpg 393w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/div>\n<p>&nbsp;<\/p>\n<hr \/>\n<p><span style=\"font-size: 14pt\"><em><strong>DISCUSSION<\/strong><\/em><\/span><\/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\/2023\/02\/H4A_29.gif\" width=\"379\" height=\"420\" \/><\/p>\n<p>Particle P moves in a way that it is constrained to move along the parabolic-shaped guide, as well as within the vertical slot. Your task here is to determine the reaction forces acting on P by the guide and the slot that are needed to enforce these motion constraints.<\/p>\n<p>As you watch the animation above for the motion of P, why is the acceleration of P always pointing in the y-direction?<\/p>\n<p><em><strong><span style=\"text-decoration: underline\">Hints<\/span>:<\/strong><br \/>\n<\/em>You should follow the four-step solution plan described in the lecture book, and as discussed in lecture:<br \/>\n<em><strong>Step 1: Free body diagram (FBD)<\/strong><\/em> &#8211; Draw an FBD of P alone.<br \/>\n<em><strong>Step 2: Kinetics<\/strong><\/em> &#8211; Write down the Cartesian components of Newton&#8217;s 2nd law for P.<br \/>\n<em><strong>Step 3: Kinetics<\/strong><\/em> &#8211; You need kinematics here to related the known x-components of velocity and acceleration of P to its y-components.<br \/>\n<em><strong>Step 4: Solve<\/strong><\/em> &#8211; You will have two equations and two unknowns. Solve these for the two reaction forces.<\/p>\n<hr \/>\n<p>Ask and answer questions below. You will learn from both asking and answering.<\/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":"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":[5],"tags":[],"class_list":["post-24126","post","type-post","status-publish","format-standard","hentry","category-chapter-4-homework"],"_links":{"self":[{"href":"https:\/\/www.purdue.edu\/freeform\/me274\/wp-json\/wp\/v2\/posts\/24126","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=24126"}],"version-history":[{"count":4,"href":"https:\/\/www.purdue.edu\/freeform\/me274\/wp-json\/wp\/v2\/posts\/24126\/revisions"}],"predecessor-version":[{"id":24208,"href":"https:\/\/www.purdue.edu\/freeform\/me274\/wp-json\/wp\/v2\/posts\/24126\/revisions\/24208"}],"wp:attachment":[{"href":"https:\/\/www.purdue.edu\/freeform\/me274\/wp-json\/wp\/v2\/media?parent=24126"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.purdue.edu\/freeform\/me274\/wp-json\/wp\/v2\/categories?post=24126"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.purdue.edu\/freeform\/me274\/wp-json\/wp\/v2\/tags?post=24126"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}