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Rolling cylinder on cylindrical plane

  1. May 1, 2008 #1
    1. The problem statement, all variables and given/known data

    See attached

    2. Relevant equations
    K.E (rotational) = .5*I*omega^2
    K.E (translational) = .5*m*v^2

    3. The attempt at a solution

    v(of rod and translational vel of cylinder) = L * (dαlpha/dt)

    Is the angular velocity of the cylinder the same as the angular velocity of the rod?
    To calculate the translational K.E of the cylinder can I use the vel i've calculated above for the rod?
    For the rotational vel of the cylinder, can i use I (com) = 0.5*m*r^2
     

    Attached Files:

  2. jcsd
  3. May 3, 2008 #2

    Shooting Star

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    The angular velocity of the CM of the cylinder about O will be equal to the angular velocity of the rod about O. But the cylinder has a different angular velocity wrt its CM.

    Yes.

    Yes. But to find the MI about O, you have use parallel axis theorem.
     
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