Exercise $2.$ The belt$-$driven pulley and attached disk are rotating with increasing angular velocity. At a certain instant the speed $v$ of the belt is $1\mathrm{.}5\frac{m}{sec},$ and the total acceleration of point $A$ is $75\frac{m}{se{c}^2}.$ For this instant determine:

the angular acceleration of the pulley and disk

the total acceleration of point $B$

the acceleration of point $C$ on the belt

Ans.