A light thread with a body of mass m tied to its end is
wound on a uniform solid cylinder of mass M and radius R (Fig. 1.55). At a
moment t = 0 the system is set in motion.
Assuming the friction
in the axle of the cylinder to be negligible, find the time dependence of
(a)
the angular velocity of the cylinder;
(b)
the kinetic energy of the whole system.
