Problem 1.253

A uniform cylinder of mass $m=8.0 \mathrm{~kg}$ and radius $R$ $=1.3 \mathrm{~cm}$ (Fig. 1.60) 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.

T=1 / 6 m g=13 \mathrm{~N}, \quad \beta=2 / 3 g / R=5 \cdot 10^{2} \mathrm{rad} / \mathrm{s}^{2}

Dynamics of a solid body