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Problem in book seems incorrect, is it not?

  1. Nov 28, 2011 #1
    The problem consists of having 2 masses m_1 and m_2 attached to a pulley by a string (negligible mass I assume) where m_1 hangs under the gravitational force and m_2 sits on a frictionless surface. The pulley has mass M and radius R. It asks to find the acceleration.

    In my book it used the angular momentum approach to solve the problem as follows:
    Total angular momentum: L = m_1vR + m_2vR + MvR = (m_1 + m_2 + M)vR
    Net Torque: Ʃτ = m_1gR = dL/dt = d[(m_1 + m_2 + M)vR]/dt
    m_1g = (m_1 + m_2 + M)dv/dt
    a = dv/dt = m_1g/(m_1 + m_2 + M)

    When I solve this problem using Newtons laws and the fact that Ʃτ = Iα (assuming I = 1/2MR^2); I get:
    a = m_1g/(m_1 + m_2 + M/2)


    EDIT:

    This always happens. I found out the problem. I reread it and it says the pulley has mass M at the RIM. The spokes are of negligible mass. That makes sense!
     
    Last edited: Nov 28, 2011
  2. jcsd
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