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Urgent: Atwood Machine Energy and Work

  1. Oct 21, 2012 #1
    1. The problem statement, all variables and given/known data

    An atwood machince has a m1 = 4.92-kg block resting on a frictionless horizontal ledge. This block is attached to a string that passes over a pulley, and the other end of the string is attached to a hanging m2 = 2.46-kg block.


    The pulley is a uniform disk of radius 8.06 cm and mass 0.615 kg. Calculate the speed of the m2 = 2.46-kg block after it is released from rest and falls a distance of 2.67 m.

    2. Relevant equations

    Work = ∫F dot ds

    ΔE = ΔKE(translation) = 1/2*m2*vf^2 - 1/2*m2*vi^2


    3. The attempt at a solution
    At first I assumed only the weight force was doing work on mass 2 but I got the wrong answer. Then I thought perhaps tension was also doing work on mass 2. In order to find the tension force, I need to find the torques acting on the pulley and the sum of the forces acting on mass 1. I can do all of this, however, I would like to know if there is an easier, less complex way to do this problem.
    Thanks!
     
  2. jcsd
  3. Oct 21, 2012 #2

    mfb

    User Avatar
    2016 Award

    Staff: Mentor

    You can use energy conservation, so you don't have to care about the details of the acceleration. Don't forget the pulley disk.
     
  4. Oct 21, 2012 #3
    Thanks mfb!
     
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