$12\mathrm{.}44$ A $130-$lb wrecking ball $B$ is attached to a $45-ft-$long steel cable $AB$ and swings in the vertical arc shown. Determine the tension in the cable $($a$)$ at the top $C$ of the swing, $($b$)$ at the bottom $D$ of the swing, where the speed of $B$ is $13\mathrm{.}2f\frac{t}{s}.$

Fig. P$12\mathrm{.}44$