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A uniform solid cylinder of mass M and radius R is at rest on a slab of mass m, which in turn rests on a horizontal, frictionless table. If a horizontal force is applied to the slab, it accelerates and the cylinder rolls without slipping.
(a) Find the angular acceleration of the cylinder in terms of F, M, R, and m.
(b) Is the cylinder rotating clockwise or counterclockwise?
(c) What is the cylinder's linear acceleration (magnitude and direction) relative to the table?
(d) What is the magnitude and direction of the linear acceleration of the center of mass of the cylinder relative to the slab?
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