This problem refers to figure $2.$ A $500-$lb crate $B$ is suspended from a cable attached to a $40-$Ib trolley A which rides on an inclined I$-$beam as shown. At the instant shown, the trolley has an acceleration of $3\mathrm{.}4f\frac{t}{s^2}$ up and to the right. At the instant shown, the cable attached to the trolley $A$ is vertical.

Determine the acceleration of $B$ relative to $A.$

$a_{\frac{B}{A}}=,\frac{t}{s^2},up\frac{?}{?}$ down $\frac{?}{?}$ left $\frac{?}{?}$ right $(circle$ one$)$

Determine the tension in the cable $CD.$

$T_{CD}=$