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Physics Homework Question - Cylinder on a frictional conveyor belt

  1. Feb 5, 2007 #1
    1. The problem statement, all variables and given/known data

    A solid, uniform cylinder with mass M and radius R is initially at rest. It is gently placed on a conveyor belt moving at constant velocity V as shown above. The cylinder's axis is perpendicular to the belt's velocity. The coefficients of static and kinetic friction are nonzero constants. (Ignore other energy losses such as rolling resistance)

    Basically a cylinder on its curvy side is placed on a frictional conveyor belt

    What is the final speed of the cylinder's center of mass? (in terms of M, R, and v i guess?)

    2. Relevant equations

    Torque = r * f
    r * f = I(alpha)

    Fnet = ma
    Ffriction = ma

    3. The attempt at a solution

    Ffriction = ma
    umg = ma
    a = ug

    rf = i*alpha
    rumg = 1/2 mr^2 * (a / r)
    ug = 1/2 a

    after that i dont know wat to do. i actually i dont really know wat im doing at all =/
  2. jcsd
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