{"id":23449,"date":"2026-02-11T08:00:44","date_gmt":"2026-02-11T13:00:44","guid":{"rendered":"https:\/\/www.purdue.edu\/freeform\/me274\/?p=23449"},"modified":"2026-02-17T08:39:56","modified_gmt":"2026-02-17T13:39:56","slug":"homework-h3-e-sp-26","status":"publish","type":"post","link":"https:\/\/www.purdue.edu\/freeform\/me274\/2026\/02\/11\/homework-h3-e-sp-26\/","title":{"rendered":"Homework H3.E – Sp 26"},"content":{"rendered":"\n\n\n
Problem statement<\/strong><\/em><\/span><\/a>
\nSolution video<\/a>
\n<\/strong><\/em><\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n
\n

DISCUSSION THREAD<\/span><\/strong><\/em><\/p>\n

\"\"
\nAny questions??<\/p>\n

\n

Discussion and hints:<\/strong><\/em><\/p>\n

The disk shown above has TWO components of rotation (note that \u03c90<\/sub> = 0):<\/p>\n

    \n
  • a rotation rate of \u03b8<\/em>_dot\u00a0about a fixed axis (the “+” K<\/em>-axis), and,<\/li>\n
  • a rotation rate of \u03c9disk<\/sub> about a moving axis (the “-” x<\/em>-axis)<\/li>\n<\/ul>\n

    (Be sure to make a clear distinction between the lower case and upper case symbols.)<\/p>\n

    Therefore, the angular velocity of the disk is given by:<\/p>\n

    \u03c9<\/strong><\/em> =\u03b8<\/em>_dot*\u00a0<\/em><\/sub>K<\/strong><\/em>\u00a0– \u03c9disk<\/sub> i<\/strong><\/em><\/p>\n

    The angular acceleration vector\u00a0\u03b1<\/strong><\/em>\u00a0is simply the time derivative of the angular velocity vector \u03c9<\/em><\/strong> : \u03b1 = <\/strong>d\u03c9<\/strong>\/dt. <\/em>In taking this time derivative,<\/p>\n

      \n
    • Recall that the K<\/strong><\/em>-axis is fixed. Since K<\/strong><\/em>\u00a0is fixed, then dK<\/strong><\/em>\/dt = 0<\/strong><\/em>.<\/li>\n
    • Recall that the i<\/strong><\/em>-axis is NOT fixed. Knowing that, how do you find\u00a0di<\/strong><\/em>\/dt?<\/li>\n<\/ul>\n
      \n

       <\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"

      Problem statement Solution video DISCUSSION THREAD<\/p>\n","protected":false},"author":10,"featured_media":0,"comment_status":"open","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":[4],"tags":[],"class_list":["post-23449","post","type-post","status-publish","format-standard","hentry","category-chapter-3-homework"],"_links":{"self":[{"href":"https:\/\/www.purdue.edu\/freeform\/me274\/wp-json\/wp\/v2\/posts\/23449","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=23449"}],"version-history":[{"count":2,"href":"https:\/\/www.purdue.edu\/freeform\/me274\/wp-json\/wp\/v2\/posts\/23449\/revisions"}],"predecessor-version":[{"id":24019,"href":"https:\/\/www.purdue.edu\/freeform\/me274\/wp-json\/wp\/v2\/posts\/23449\/revisions\/24019"}],"wp:attachment":[{"href":"https:\/\/www.purdue.edu\/freeform\/me274\/wp-json\/wp\/v2\/media?parent=23449"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.purdue.edu\/freeform\/me274\/wp-json\/wp\/v2\/categories?post=23449"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.purdue.edu\/freeform\/me274\/wp-json\/wp\/v2\/tags?post=23449"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}