Problem $4$: The boom AC is supported at A by a ball$-$and$-$socket joint and by two cables BDC and CE$.$ Cable BDC is continuous and passes over a frictionless pulley at D $.$ Calculate the tension in the cables and the $x,y,$ and z components of reaction at A if a crate, having a weight of $80$ lb $,$ is suspended from the boom.

No monents parerian inswarer

$T_{CD}=T_{BD}=62\mathrm{.}0lb$

$A_Y=192\mathrm{.}0$ lb