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Torque on a pulley

  1. Mar 21, 2013 #1
    The problem is: The two blocks in the figure are connected by a massless rope that passes over a pulley. The pulley is 12cm in diameter and has a mass of 2kg. As the pulley turns, friction at the axle exerts a torque of magnitude 0.5Nm. If the blocks are released from rest, how long does it take the 4 kg block to reach the floor?
    Here is the picture:
    pulley3.png

    My approach was as follows:
    Ʃτ = τleft-weight - τtension - τright-weight
    Then, when I found total torque...
    Ʃτ = I[itex]\alpha[/itex]([itex]\alpha[/itex] is angular acceleration)
    Then finally...
    atangential = [itex]\alpha[/itex]r

    When I found a, however, it was different than the answer on chegg. What am I doing wrong?

    Thanks To Everyone on this site
     
  2. jcsd
  3. Mar 21, 2013 #2

    Doc Al

    User Avatar

    Staff: Mentor

    What exerts the torque on the pulley is the tension in the ropes, not the weights of the hanging.

    Of course, those tensions depend on the weights. You'll need additional equations for each mass to solve for the acceleration.
     
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