{"id":18150,"date":"2023-01-31T11:05:53","date_gmt":"2023-01-31T16:05:53","guid":{"rendered":"https:\/\/www.purdue.edu\/freeform\/me274\/?page_id=18150"},"modified":"2024-10-09T20:43:51","modified_gmt":"2024-10-10T00:43:51","slug":"homework-h1-a-30","status":"publish","type":"page","link":"https:\/\/www.purdue.edu\/freeform\/me274\/chapter-1-discussion\/homework-h1-a-30\/","title":{"rendered":"Homework H1.A.30"},"content":{"rendered":"<div class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-18151 aligncenter\" src=\"https:\/\/www.purdue.edu\/freeform\/me274\/wp-content\/uploads\/sites\/15\/2023\/01\/Screen-Shot-2023-01-31-at-10.50.19-AM.jpg\" alt=\"\" width=\"247\" height=\"222\" \/><\/div>\n<div><\/div>\n<p><em><strong>DISCUSSION<br \/>\n<\/strong><\/em>Identify the directions for the<em><strong> e<sub>r<\/sub><\/strong><\/em> and <em><strong>e<sub>\u03b8<\/sub> :\u00a0<\/strong><\/em>unit vectors: <em><strong>e<span style=\"font-size: 12px\">r<\/span><\/strong><\/em>\u00a0points outward from O to P and <em><strong>e<sub>\u03b8<\/sub><\/strong><\/em>\u00a0is perpendicular to <em><strong>e<sub>r<\/sub><\/strong><\/em>\u00a0and pointing in the positive\u00a0<em>\u03b8\u00a0<\/em>direction.<\/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\/2023\/01\/Screen-Shot-2023-01-31-at-10.59.05-AM.jpg\" width=\"209\" height=\"251\" \/><\/strong><\/em><\/p>\n<p>Note that the path of P is defined in terms of the radial distance r as being a function of\u00a0<em>\u03b8<\/em>. Therefore, in order to determine the time derivatives of <em>r<\/em>, you will need to use the chain rule of differentiation.<\/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\/2023\/01\/H1_A_30.gif\" width=\"438\" height=\"412\" \/><\/strong><\/em><\/p>\n<hr \/>\n<p>Please ask and answer questions here. Either way, you learn.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>DISCUSSION Identify the directions for the er and e\u03b8 :\u00a0unit vectors: er\u00a0points outward from O to P and e\u03b8\u00a0is perpendicular to er\u00a0and pointing in the positive\u00a0\u03b8\u00a0direction. Note that the path of P is defined in terms of the radial distance r as being a function of\u00a0\u03b8. Therefore, in order to determine the time derivatives of &hellip; <a href=\"https:\/\/www.purdue.edu\/freeform\/me274\/chapter-1-discussion\/homework-h1-a-30\/\" class=\"more-link\">Continue reading <span class=\"screen-reader-text\">Homework H1.A.30<\/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-18150","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/www.purdue.edu\/freeform\/me274\/wp-json\/wp\/v2\/pages\/18150","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=18150"}],"version-history":[{"count":1,"href":"https:\/\/www.purdue.edu\/freeform\/me274\/wp-json\/wp\/v2\/pages\/18150\/revisions"}],"predecessor-version":[{"id":18154,"href":"https:\/\/www.purdue.edu\/freeform\/me274\/wp-json\/wp\/v2\/pages\/18150\/revisions\/18154"}],"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=18150"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}