A spool of wire of mass M and radius R is unwound under a constant force (Fig. 10.42). Assuming the spool is a uniform, solid cylinder that doesn't slip, show that
a. the acceleration of the center of mass is and
b. the force of friction is to the right and equal in magnitude to .
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 of d?