{"id":23698,"date":"2026-04-23T12:05:09","date_gmt":"2026-04-23T16:05:09","guid":{"rendered":"https:\/\/www.purdue.edu\/freeform\/me274\/?p=23698"},"modified":"2026-05-01T05:13:06","modified_gmt":"2026-05-01T09:13:06","slug":"homework-h6-m-sp26","status":"publish","type":"post","link":"https:\/\/www.purdue.edu\/freeform\/me274\/2026\/04\/23\/homework-h6-m-sp26\/","title":{"rendered":"Homework H6.M &#8211; Sp26"},"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\/2023\/11\/bDnvYr-collection_fspI-dragged-30.pdf\"><span style=\"font-size: 12pt\"><em><strong>Problem statement<\/strong><\/em><\/span><\/a><br \/>\n<a href=\"https:\/\/youtu.be\/DEuWb52cJQE\"><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<p><span style=\"color: #0000ff\"><em><strong>Not collected.<\/strong><\/em><\/span><\/p>\n<div data-post-id=\"12658\" class=\"insert-page insert-page-12658 \"><p style=\"text-align: center\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-12659\" src=\"https:\/\/www.purdue.edu\/freeform\/me274\/wp-content\/uploads\/sites\/15\/2021\/11\/Screen-Shot-2021-11-03-at-9.08.21-AM-300x107.jpg\" alt=\"\" width=\"373\" height=\"133\" srcset=\"https:\/\/www.purdue.edu\/freeform\/me274\/wp-content\/uploads\/sites\/15\/2021\/11\/Screen-Shot-2021-11-03-at-9.08.21-AM-300x107.jpg 300w, https:\/\/www.purdue.edu\/freeform\/me274\/wp-content\/uploads\/sites\/15\/2021\/11\/Screen-Shot-2021-11-03-at-9.08.21-AM.jpg 397w\" sizes=\"auto, (max-width: 373px) 100vw, 373px\" \/><\/p>\n<p><em><strong>Low and high frequency excitations: \u03c9 &lt; \u03c9<sub>n<\/sub> and \u03c9 &gt; \u03c9<sub>n<\/sub><\/strong><\/em><\/p>\n<ul>\n<li>The top animation below shows the particular solution for the response corresponding to an excitation frequency that is less than the natural frequency. For this range of excitation frequencies, the response is <em>in phase<\/em> with the base motion.<\/li>\n<li>The lower animation is for the excitation frequency larger than the natural frequency. As expected, this response is <em>180\u00b0 out of phase<\/em> with the excitation.<\/li>\n<\/ul>\n<p>Are these phase differences apparent to you as you view the animations?<\/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\/2021\/12\/H6C_09.gif\" width=\"476\" height=\"410\" \/><\/p>\n<hr \/>\n<p>Any questions?? Please ask\/answer questions regarding this homework problem through the &#8220;Leave a Comment&#8221; link above.<\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Problem statement Solution video DISCUSSION THREAD Not collected.<\/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":[7],"tags":[],"class_list":["post-23698","post","type-post","status-publish","format-standard","hentry","category-chapter-6-homework"],"_links":{"self":[{"href":"https:\/\/www.purdue.edu\/freeform\/me274\/wp-json\/wp\/v2\/posts\/23698","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=23698"}],"version-history":[{"count":4,"href":"https:\/\/www.purdue.edu\/freeform\/me274\/wp-json\/wp\/v2\/posts\/23698\/revisions"}],"predecessor-version":[{"id":25006,"href":"https:\/\/www.purdue.edu\/freeform\/me274\/wp-json\/wp\/v2\/posts\/23698\/revisions\/25006"}],"wp:attachment":[{"href":"https:\/\/www.purdue.edu\/freeform\/me274\/wp-json\/wp\/v2\/media?parent=23698"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.purdue.edu\/freeform\/me274\/wp-json\/wp\/v2\/categories?post=23698"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.purdue.edu\/freeform\/me274\/wp-json\/wp\/v2\/tags?post=23698"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}