The spool rolls on its hub up the inner cable $A$ as the

equalizer plate $B$ pulls the outer cables down. The

three cables are wrapped securely around their re$-$

spective peripheries and do not slip. If$,$ at the instant

represented, $B$ has moved down a distance of $1600$

mm from rest with a constant acceleration of $0\mathrm{.}2$

$\frac{m}{s^2},$ determine the velocity of point $C$ and the accel$-$

eration of the center $O$ for this particular instant.