{"id":639,"date":"2016-11-28T11:49:47","date_gmt":"2016-11-28T18:49:47","guid":{"rendered":"https:\/\/sites.evergreen.edu\/psam1617\/?p=639"},"modified":"2016-11-29T11:00:27","modified_gmt":"2016-11-29T18:00:27","slug":"classical-mechanics-homework-assignment-16","status":"publish","type":"post","link":"https:\/\/sites.evergreen.edu\/psam1617\/classical-mechanics-homework-assignment-16\/","title":{"rendered":"Classical Mechanics Homework Assignment #16"},"content":{"rendered":"<p><strong>Classical Mechanics Homework Assignment #16, due <del><\/del><span style=\"color: #000000\">by 9 am Friday December 2 to Krishna&#8217;s office Lab 2 3255.<br \/> <\/span><\/strong><\/p>\n<ol>\n<li>13.5<\/li>\n<li>13.10<\/li>\n<li>13.12 (see Notes)<\/li>\n<li>13.23 (see Notes)<\/li>\n<li>13.26<\/li>\n<li>13.33<\/li>\n<\/ol>\n<p>Notes:<\/p>\n<ul>\n<li>For 13.5, 13.10, 13.23, and 13.26, can you use the Hamiltonian H = T + U? Explain why or why not.<\/li>\n<li>Problem 13.12 might look familiar to you. Do you recall where you saw it? _Why_ can&#8217;t we use the Hamiltonian H = T + U in this case? Of course the whole point of the problem is to show this explicitly, but you should make sure you understand why H can&#8217;t just be T + U in this case.<\/li>\n<li>For 13.23, part (a) may be hard to show mathematically, but it should seem plausible given the physical situation. If you can&#8217;t figure out how to show part (a) mathematically relatively quickly, just use its results for the rest of the problem.<\/li>\n<li>Problem 13.33 should be a good connection to your current work in MVC. We&#8217;ll use the divergence theorem (we&#8217;ll call it Gauss&#8217;s Law) extensively next quarter in E&amp;M, so this problem is a nice preview of work to come.<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Classical Mechanics Homework Assignment #16, due by 9 am Friday December 2 to Krishna&#8217;s office Lab 2 3255. 13.5 13.10 13.12 (see Notes) 13.23 (see Notes) 13.26 13.33 Notes: For 13.5, 13.10, 13.23, and 13.26, can you use the Hamiltonian &hellip; <a href=\"https:\/\/sites.evergreen.edu\/psam1617\/classical-mechanics-homework-assignment-16\/\">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\/639"}],"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=639"}],"version-history":[{"count":0,"href":"https:\/\/sites.evergreen.edu\/psam1617\/wp-json\/wp\/v2\/posts\/639\/revisions"}],"wp:attachment":[{"href":"https:\/\/sites.evergreen.edu\/psam1617\/wp-json\/wp\/v2\/media?parent=639"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/sites.evergreen.edu\/psam1617\/wp-json\/wp\/v2\/categories?post=639"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/sites.evergreen.edu\/psam1617\/wp-json\/wp\/v2\/tags?post=639"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}