AP CYLINDER AND ACCELERATING MASS

A uniform solid cylinder of mass M1 and radius R is mounted on frictionless bearings about a fixed axis through O. The moment of inertia of the cylinder about the axis is I = 1/2 M1 R2. A block of mass M2, suspended by a cord wrapped around the cylinder as shown above, is released at time t = 0.

A) Draw and identify all of the forces acting on the cylinder and on the block.

B) In terms of M1, M2, R, and g, determine each of the following.

I) The acceleration of the block

II) The tension in the cord

III) The angular momentum of the disk as a function of time T.