{"id":91,"date":"2014-03-06T10:29:02","date_gmt":"2014-03-06T15:29:02","guid":{"rendered":"https:\/\/pdhorn.expressions.syr.edu\/spring2014mat414\/?p=91"},"modified":"2014-03-06T10:40:01","modified_gmt":"2014-03-06T15:40:01","slug":"lecture-supplement-3-6-14","status":"publish","type":"post","link":"https:\/\/pdhorn.expressions.syr.edu\/spring2014mat414\/lecture-supplement-3-6-14\/","title":{"rendered":"Lecture supplement 3-6-14"},"content":{"rendered":"<p>We talked about forced spring vibrations.  You can download a <a href=\"http:\/\/pdhorn.mysite.syr.edu\/res\/3-6-14_lecture_sage_worksheet.zip\">Sage worksheet that I used to generate the plots<\/a>.  Also, check out the disastrous consequences of resonance and the &#8220;beats&#8221; caused by amplitude modulation, both below.<\/p>\n<p>(Note: for the sage worksheet to unpack properly, I had to use Stuffit Expander on a Mac. The build in archive utility didn&#8217;t work. You should get a .sws file after unzipping)<\/p>\n<p>Resonance:<br \/>\n<iframe loading=\"lazy\" width=\"420\" height=\"315\" src=\"\/\/www.youtube.com\/embed\/xox9BVSu7Ok\" frameborder=\"0\" allowfullscreen><\/iframe><\/p>\n<p>Beats:<br \/>\n<iframe loading=\"lazy\" width=\"420\" height=\"315\" src=\"\/\/www.youtube.com\/embed\/722ev4GqArY\" frameborder=\"0\" allowfullscreen><\/iframe><\/p>\n<p>Spring-mass systems (i.e. vibrations) bring this 90s gem to mind:<br \/>\n<iframe loading=\"lazy\" width=\"420\" height=\"315\" src=\"\/\/www.youtube.com\/embed\/-eSN8Cwit_s\" frameborder=\"0\" allowfullscreen><\/iframe><\/p>\n<p>&#8230;And this older one:<br \/>\n<iframe loading=\"lazy\" width=\"420\" height=\"315\" src=\"\/\/www.youtube.com\/embed\/d8rd53WuojE\" frameborder=\"0\" allowfullscreen><\/iframe><\/p>\n","protected":false},"excerpt":{"rendered":"<p>We talked about forced spring vibrations. You can download a Sage worksheet that I used to generate the plots. Also, check out the disastrous consequences of resonance and the &#8220;beats&#8221; caused by amplitude modulation, both below. (Note: for the sage worksheet to unpack properly, I had to use Stuffit Expander on a Mac. The build [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":[],"categories":[3],"tags":[],"_links":{"self":[{"href":"https:\/\/pdhorn.expressions.syr.edu\/spring2014mat414\/wp-json\/wp\/v2\/posts\/91"}],"collection":[{"href":"https:\/\/pdhorn.expressions.syr.edu\/spring2014mat414\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/pdhorn.expressions.syr.edu\/spring2014mat414\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/pdhorn.expressions.syr.edu\/spring2014mat414\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/pdhorn.expressions.syr.edu\/spring2014mat414\/wp-json\/wp\/v2\/comments?post=91"}],"version-history":[{"count":5,"href":"https:\/\/pdhorn.expressions.syr.edu\/spring2014mat414\/wp-json\/wp\/v2\/posts\/91\/revisions"}],"predecessor-version":[{"id":98,"href":"https:\/\/pdhorn.expressions.syr.edu\/spring2014mat414\/wp-json\/wp\/v2\/posts\/91\/revisions\/98"}],"wp:attachment":[{"href":"https:\/\/pdhorn.expressions.syr.edu\/spring2014mat414\/wp-json\/wp\/v2\/media?parent=91"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/pdhorn.expressions.syr.edu\/spring2014mat414\/wp-json\/wp\/v2\/categories?post=91"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/pdhorn.expressions.syr.edu\/spring2014mat414\/wp-json\/wp\/v2\/tags?post=91"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}