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Two blocks and a pully

  1. Aug 10, 2005 #1
    A block of mass m1 = 1 kg rests on a table with which it has a coefficient of friction µ = 0.77. A string attached to the block passes over a pulley to a block of mass m3 = 3 kg. The pulley is a uniform disk of mass m2 = 0.7 kg and radius 15 cm. As the mass m3 falls, the string does not slip on the pulley.

    With what acceleration does the mass m3 fall?

    i did the following:

    [A]sum of Force on mass 1: T(1) - f = m(1) a
    thus, T(1) = m(1)a + mu*m(1)g

    sum of torque on mass 2: RT(3) = I *alpha

    [C]sum of forces on mass 3: m(3)a = m(3)g - T(3)
    thus, T(3) = m(3)g - m(3)a

    and since alpha = a/R and I = .5 m(2) R^2

    I plug in equatiion for T(3) into , and got something like this:

    R m(3) g
    ------------------- =a
    .5 m(2) R + R m(3)

    and plug in numbers, didn't work out...any hints?

    Attached Files:

  2. jcsd
  3. Aug 10, 2005 #2


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    Homework Helper

    The problem is in .

    The torque on m2 results from the difference in tensions in the rope on either side of the pulley.
    That torque should be (T3 - T1)R
  4. Aug 10, 2005 #3
    i got it, thanks!
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