{"id":615,"date":"2016-11-20T12:52:32","date_gmt":"2016-11-20T19:52:32","guid":{"rendered":"https:\/\/sites.evergreen.edu\/psam1617\/?p=615"},"modified":"2016-11-20T12:54:58","modified_gmt":"2016-11-20T19:54:58","slug":"lagrangians-for-cm-hw15","status":"publish","type":"post","link":"https:\/\/sites.evergreen.edu\/psam1617\/lagrangians-for-cm-hw15\/","title":{"rendered":"Lagrangians for CM HW#15"},"content":{"rendered":"<p>It is difficult to proceed with many of the HW#15 problems without the correct Lagrangian. The relevant Lagrangians are provided for intermediate self-checks <strong><a href=\"https:\/\/sites.evergreen.edu\/psam1617\/wp-content\/uploads\/sites\/175\/_mediavault\/2016\/11\/HW15notes.pdf\">here<\/a><\/strong>. It\u2019s very important that you be able to write down Lagrangians correctly and apply small angle and small extension approximations appropriately. The Lagrangians have already had small angle and small extension approximations applied. They can (and should) be algebraically simplified further, but are left in the given form so it is easier to see the physical origin of each term, particularly the coupling term.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>It is difficult to proceed with many of the HW#15 problems without the correct Lagrangian. The relevant Lagrangians are provided for intermediate self-checks here. It\u2019s very important that you be able to write down Lagrangians correctly and apply small angle &hellip; <a href=\"https:\/\/sites.evergreen.edu\/psam1617\/lagrangians-for-cm-hw15\/\">Continue reading <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":219,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_mi_skip_tracking":false},"categories":[1],"tags":[],"_links":{"self":[{"href":"https:\/\/sites.evergreen.edu\/psam1617\/wp-json\/wp\/v2\/posts\/615"}],"collection":[{"href":"https:\/\/sites.evergreen.edu\/psam1617\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/sites.evergreen.edu\/psam1617\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/sites.evergreen.edu\/psam1617\/wp-json\/wp\/v2\/users\/219"}],"replies":[{"embeddable":true,"href":"https:\/\/sites.evergreen.edu\/psam1617\/wp-json\/wp\/v2\/comments?post=615"}],"version-history":[{"count":0,"href":"https:\/\/sites.evergreen.edu\/psam1617\/wp-json\/wp\/v2\/posts\/615\/revisions"}],"wp:attachment":[{"href":"https:\/\/sites.evergreen.edu\/psam1617\/wp-json\/wp\/v2\/media?parent=615"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/sites.evergreen.edu\/psam1617\/wp-json\/wp\/v2\/categories?post=615"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/sites.evergreen.edu\/psam1617\/wp-json\/wp\/v2\/tags?post=615"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}