{"id":23554,"date":"2026-02-25T08:00:24","date_gmt":"2026-02-25T13:00:24","guid":{"rendered":"https:\/\/www.purdue.edu\/freeform\/me274\/?p=23554"},"modified":"2026-03-02T23:32:43","modified_gmt":"2026-03-03T04:32:43","slug":"homework-h4-f-sp26","status":"publish","type":"post","link":"https:\/\/www.purdue.edu\/freeform\/me274\/2026\/02\/25\/homework-h4-f-sp26\/","title":{"rendered":"Homework H4.F – Sp26"},"content":{"rendered":"\n\n\n
Problem statement<\/strong><\/em><\/span><\/a>
\nSolution video<\/strong><\/em><\/span><\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n
\n

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

\"\"<\/p>\n

Any questions??<\/p>\n

\n

As P moves around on the circular track, two things occur:<\/p>\n

    \n
  1. The normal force N<\/em>\u00a0on P due to the circular guide is proportional to the centripetal acceleration \u00a0of P: N = mv2<\/sup>\/R<\/em>.<\/li>\n
  2. A friction force opposes its motion, where the sliding friction force is proportional to the normal force between the circular guide and P: f = \u03bck<\/sub>N = m\u03bck<\/sub>v2<\/sup>\/R.<\/em><\/li>\n<\/ol>\n

    From this, we see that the friction force goes to zero as the speed goes to zero. What does this imply about P coming to rest? Can you see this in the animation of the motion below?<\/p>\n

    <\/p>\n

    HINTS<\/em>:
    \nYou will need to use the chain rule of differentiation to set up this problem: dv\/dt = (dv\/ds)(ds\/dt) = v (dv\/ds)<\/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":[5],"tags":[],"class_list":["post-23554","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\/23554","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=23554"}],"version-history":[{"count":3,"href":"https:\/\/www.purdue.edu\/freeform\/me274\/wp-json\/wp\/v2\/posts\/23554\/revisions"}],"predecessor-version":[{"id":24207,"href":"https:\/\/www.purdue.edu\/freeform\/me274\/wp-json\/wp\/v2\/posts\/23554\/revisions\/24207"}],"wp:attachment":[{"href":"https:\/\/www.purdue.edu\/freeform\/me274\/wp-json\/wp\/v2\/media?parent=23554"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.purdue.edu\/freeform\/me274\/wp-json\/wp\/v2\/categories?post=23554"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.purdue.edu\/freeform\/me274\/wp-json\/wp\/v2\/tags?post=23554"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}