{"id":940,"date":"2020-03-27T08:45:12","date_gmt":"2020-03-27T07:45:12","guid":{"rendered":"https:\/\/blogs.ua.es\/jjrr2011\/?p=940"},"modified":"2020-03-27T08:45:31","modified_gmt":"2020-03-27T07:45:31","slug":"chapter-4-iii-problems","status":"publish","type":"post","link":"https:\/\/blogs.ua.es\/jjrr2011\/2020\/03\/27\/chapter-4-iii-problems\/","title":{"rendered":"Chapter 4: Rigid bodies. (III) – Problems"},"content":{"rendered":"

ROTATIONAL DYNAMICS: EXERCISES<\/strong><\/span><\/p>\n

    \n
  1. \"\"<\/a>A mass M = 120 kg<\/strong><\/span> hangs from a beam which is held by a cable.\n
      \n
    1. What is the tension T<\/strong> in the cable?<\/li>\n
    2. Does the wall exert any force on the beam? Which one?<\/li>\n<\/ol>\n<\/li>\n
    3. A stone of mass 0.6 kg<\/strong><\/span> is forced to travel in a circle while it hangs from the ce\"\"<\/a>iling, as shown in Figure. If the angle between the rope and the vertical is \u03b8 = 30\u00ba<\/strong><\/span> and the radius of the circle is r = 35 cm<\/strong><\/span>:\n
        \n
      1. What is the speed<\/strong> of the stone?<\/li>\n
      2. What is the tension<\/strong> in the rope?<\/li>\n<\/ol>\n<\/li>\n
      3. A wheel of radius r = 80 cm<\/strong><\/span> has moment of inertia 10 kg m2<\/strong><\/span>. It is rotating around its central axis propelled by a rocket attached to a point on its outer rim. The rocket is expelling gas
        \ntangentially to the wheel, resulting in a constant force. Determine:<\/p>\n
          \n
        1. The magnitude of the equivalent force, if we know that the wheel, starting from rest, reaches an angular speed of 1 rev\/s in 6 s.<\/li>\n
        2. The value of both tangential and normal acceleration in a point on the outer rim of the wheel.<\/li>\n
        3. The angle that the total acceleration forms with the radius at that point.<\/li>\n
        4. The time that the wheel takes to reach the same angular velocity, under the action of the same force, if we add a very thin ring of mass 5 kg around the outer rim.<\/li>\n<\/ol>\n<\/li>\n<\/ol>\n

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

          ROTATIONAL DYNAMICS: EXERCISES A mass M = 120 kg hangs from a beam which is held by a cable. What is the tension T in the cable? Does the wall exert any force on the beam? Which one? A stone of mass 0.6 kg is forced to travel in a circle while it hangs from […]<\/p>\n","protected":false},"author":2285,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[135920,135935,9333],"tags":[135932,135934],"class_list":["post-940","post","type-post","status-publish","format-standard","hentry","category-aims","category-problems","category-subject","tag-rigid-body","tag-torque"],"_links":{"self":[{"href":"https:\/\/blogs.ua.es\/jjrr2011\/wp-json\/wp\/v2\/posts\/940","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blogs.ua.es\/jjrr2011\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blogs.ua.es\/jjrr2011\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blogs.ua.es\/jjrr2011\/wp-json\/wp\/v2\/users\/2285"}],"replies":[{"embeddable":true,"href":"https:\/\/blogs.ua.es\/jjrr2011\/wp-json\/wp\/v2\/comments?post=940"}],"version-history":[{"count":5,"href":"https:\/\/blogs.ua.es\/jjrr2011\/wp-json\/wp\/v2\/posts\/940\/revisions"}],"predecessor-version":[{"id":946,"href":"https:\/\/blogs.ua.es\/jjrr2011\/wp-json\/wp\/v2\/posts\/940\/revisions\/946"}],"wp:attachment":[{"href":"https:\/\/blogs.ua.es\/jjrr2011\/wp-json\/wp\/v2\/media?parent=940"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blogs.ua.es\/jjrr2011\/wp-json\/wp\/v2\/categories?post=940"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blogs.ua.es\/jjrr2011\/wp-json\/wp\/v2\/tags?post=940"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}