{"id":255,"date":"2016-10-03T10:07:48","date_gmt":"2016-10-03T17:07:48","guid":{"rendered":"https:\/\/sites.evergreen.edu\/psam1617\/?p=255"},"modified":"2016-10-03T10:41:03","modified_gmt":"2016-10-03T17:41:03","slug":"classical-mechanics-homework-assignment-3","status":"publish","type":"post","link":"https:\/\/sites.evergreen.edu\/psam1617\/classical-mechanics-homework-assignment-3\/","title":{"rendered":"Classical Mechanics Homework Assignment #3"},"content":{"rendered":"

Classical Mechanics Homework Assignment #3, due <\/del>by 5 pm Thursday October 6 to Krishna’s office Lab 2 3255<\/span>. All problems from Taylor except as indicated.<\/strong><\/p>\n

    \n
  1. 2.38 (see note)<\/li>\n
  2. 2.42 (see note)<\/li>\n
  3. 2.55 (see note)<\/li>\n
  4. 3.5 (see hints)<\/li>\n
  5. 3.13<\/li>\n
  6. 3.20 (see note)<\/li>\n<\/ol>\n

    Note for 2.38, 2.42, 2.55: Start from Newton’s second law to get the differential equation. Solve the differential equation. You may use (without proof) integrals from the inside front cover of Taylor (for an optional extension, you may want to deduce the integrals). Use the book or your notes to help you out when you get stuck, but use these problems as an opportunity to practice solving differential equations and gain familiarity with some of the new math in this chapter.<\/p>\n

    Hints for 3.5: If bold-face and underline denotes a vector, then a<\/strong><\/span> is a vector. Note that (a<\/strong><\/span> + b<\/strong><\/span>)2<\/sup> should be understood as (a<\/strong><\/span> + b<\/strong><\/span>)\u2022(a<\/strong><\/span> + b<\/strong><\/span>), where\u00a0\u2022 is the dot product, which equals a<\/strong><\/span>\u2022a<\/strong><\/span> + a<\/strong><\/span>\u2022b<\/strong><\/span> + b<\/strong><\/span>\u2022a<\/strong><\/span> + b<\/strong><\/span>\u2022b<\/strong><\/span>. (You can use this distributive property of dot products without proof, but for an optional extension, you may want to prove this from the algebraic definition of dot products).<\/p>\n

    Note for 3.20: Start with the definition of center of mass, in equation (3.9).<\/p>\n","protected":false},"excerpt":{"rendered":"

    Classical Mechanics Homework Assignment #3, due by 5 pm Thursday October 6 to Krishna’s office Lab 2 3255. All problems from Taylor except as indicated. 2.38 (see note) 2.42 (see note) 2.55 (see note) 3.5 (see hints) 3.13 3.20 (see … Continue reading →<\/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\/255"}],"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=255"}],"version-history":[{"count":0,"href":"https:\/\/sites.evergreen.edu\/psam1617\/wp-json\/wp\/v2\/posts\/255\/revisions"}],"wp:attachment":[{"href":"https:\/\/sites.evergreen.edu\/psam1617\/wp-json\/wp\/v2\/media?parent=255"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/sites.evergreen.edu\/psam1617\/wp-json\/wp\/v2\/categories?post=255"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/sites.evergreen.edu\/psam1617\/wp-json\/wp\/v2\/tags?post=255"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}