Problem $\backslash$#$1(30$ points$)$: The boom AB is held in equilibrium by a ball$-$and$-$socket joint A and by two cables BDC and CE$.$ Cable BDC is continuous and passes over a pulley at D$.$ Determine $($a$)$ the tension in all cable sections $($b$)$ the components of the reaction at the ball and socket joint $\backslash ($ A $\backslash ).$ The weight of the crate is $80$ lb the weight of the boom can be neglected.

Draw the FBD in the space above