{"id":15285,"date":"2022-05-30T10:57:33","date_gmt":"2022-05-30T14:57:33","guid":{"rendered":"https:\/\/www.purdue.edu\/freeform\/me274\/?p=15285"},"modified":"2024-10-05T18:06:19","modified_gmt":"2024-10-05T22:06:19","slug":"homework-h1-a-10","status":"publish","type":"page","link":"https:\/\/www.purdue.edu\/freeform\/me274\/chapter-1-discussion\/homework-h1-a-10\/","title":{"rendered":"Homework H1.A.10"},"content":{"rendered":"<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-medium wp-image-14276 aligncenter\" src=\"https:\/\/www.purdue.edu\/freeform\/me274\/wp-content\/uploads\/sites\/15\/2022\/05\/Screen-Shot-2022-05-13-at-9.01.56-AM-1-300x251.jpg\" alt=\"\" width=\"300\" height=\"251\" srcset=\"https:\/\/www.purdue.edu\/freeform\/me274\/wp-content\/uploads\/sites\/15\/2022\/05\/Screen-Shot-2022-05-13-at-9.01.56-AM-1-300x251.jpg 300w, https:\/\/www.purdue.edu\/freeform\/me274\/wp-content\/uploads\/sites\/15\/2022\/05\/Screen-Shot-2022-05-13-at-9.01.56-AM-1.jpg 317w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Ask and answer questions here. You learn both ways.<\/p>\n<hr \/>\n<p><em><strong>DISCUSSION and HINTS<\/strong><\/em><\/p>\n<p>As expected, the acceleration of P has both non-zero tangential and normal components.<\/p>\n<ul>\n<li>From the equation provided for speed as a function of distance traveled, the speed of P is monotonically decreasing over the range of motion shown in the animation below. Therefore, the tangential component of acceleration always points &#8220;backward&#8221; of the direction of motion.<\/li>\n<li>The normal component decreases as P moves along the track since the speed of P is decreasing.<\/li>\n<\/ul>\n<p>Can you see these two things in the animation below?<\/p>\n<p><em><strong><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\/05\/H1_A_10.gif\" width=\"618\" height=\"253\" \/><\/strong><\/em><\/p>\n<p>Recall that the general path description velocity and acceleration equations are given by the following:<\/p>\n<p><em><strong>v<\/strong> = v*<strong>e<\/strong><sub>t<br \/>\n<\/sub><\/em><em><strong>a<\/strong> = v_dot*<strong>e<\/strong><sub>t<\/sub>\u00a0+ (v<sup>2<\/sup>\/\u03c1)*<strong>e<\/strong><sub>n<\/sub><\/em><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Ask and answer questions here. You learn both ways. DISCUSSION and HINTS As expected, the acceleration of P has both non-zero tangential and normal components. From the equation provided for speed as a function of distance traveled, the speed of P is monotonically decreasing over the range of motion shown in the animation below. Therefore, &hellip; <a href=\"https:\/\/www.purdue.edu\/freeform\/me274\/chapter-1-discussion\/homework-h1-a-10\/\" class=\"more-link\">Continue reading <span class=\"screen-reader-text\">Homework H1.A.10<\/span> <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":10,"featured_media":0,"parent":14839,"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-15285","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/www.purdue.edu\/freeform\/me274\/wp-json\/wp\/v2\/pages\/15285","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=15285"}],"version-history":[{"count":2,"href":"https:\/\/www.purdue.edu\/freeform\/me274\/wp-json\/wp\/v2\/pages\/15285\/revisions"}],"predecessor-version":[{"id":20457,"href":"https:\/\/www.purdue.edu\/freeform\/me274\/wp-json\/wp\/v2\/pages\/15285\/revisions\/20457"}],"up":[{"embeddable":true,"href":"https:\/\/www.purdue.edu\/freeform\/me274\/wp-json\/wp\/v2\/pages\/14839"}],"wp:attachment":[{"href":"https:\/\/www.purdue.edu\/freeform\/me274\/wp-json\/wp\/v2\/media?parent=15285"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}