Chapter 10, Problem 42AP

Review. A spool of wire of mass M and radius R is unwound under a constant force $\stackrel{\to }{F}$ (Fig. P10.42). Assuming the spool is a uniform, solid cylinder that doesn’t slip, show that (a) the acceleration of the center of mass is $4\stackrel{\to }{F}/3M$ and (b) the force of friction is to the right and equal in magnitude to F/3. (c) If the cylinder starts from rest and rolls without slipping, what is the speed of its center of mass after it has rolled through a distance d?