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

$a_{\frac{B}{A}}=f\frac{t}{s^2}$

up $/$ down $/$ left $/$ right

$($circle one$)$

Determine the tension in the cable $CD.$

$T_{CD}=$ lb

Please show and explain all work