A uniform solid cylinder of mass M and radius R is at rest on a slab of mass m,

Question

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) What is the cylinder's linear acceleration (magnitude and direction) relative to the table? (Use any variable or symbol stated above as necessary.) (c) What is the magnitude and direction of the linear acceleration of the center of mass of the cylinder relative to the slab? (Use any variable or symbol stated above as necessary.)

Explanation / Answer

Applying Newton

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