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Cylinder+String Rolling w/o slipping

  1. Apr 20, 2009 #1
    1. The problem statement, all variables and given/known data
    A uniform cylinder of mass M and radius R has a string wrapped around it. The string is held fixed, and the cylinder falls vertically. (a) Show that the acceleration of the cylinder is downward with a magnitude a=2g/3. (b) Find the tension in the string.



    2. Relevant equations
    I=1/2MR2


    3. The attempt at a solution
    Not sure how to start, does it involve the conservation of mechanical energy?
     
  2. jcsd
  3. Apr 20, 2009 #2
    Try Newton's methods.

    Draw a freebody diagram for the cylinder, include all the forces acting on it and use newton's second law, along with torque = Ialpha, to solve for your unknowns
     
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