A uniform cylinder of mass $$m = 8.0\ kg$$ and radius $$R = 1.3\ cm$$ (Fig.) starts descending at a moment $$t = 0$$ due to gravity. Neglecting the mass of the thread, find:
(a) the tension of each thread and the angular acceleration of the cylinder.
(b) the time dependence of the instantaneous power developed by the gravitational force.