Solving for Tension & Acceleration of Solid Cylinder

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bluejay
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one end of a weightless rope is tied to the ceiling of a building and the other end is wrapped around a uniform solid cylinder that has a radius R and mass M. The cylinder is then released and falls toward the floor. The moment of inertia of a solid cylinder about an axis through its center of mass is: I=0.5MR^2

a.find the tension T in the string

b. what is the acceleration of M?
 
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