do only $8\mathrm{.}118\mathrm{.}1$ The force $F$ acting on the boom ABC at $C$ points in the direction of the unit vector $0\mathrm{.}512i-0\mathrm{.}384j+0\mathrm{.}768k$ and its magnitude is $8$ kN $.$ The boom is supported by a ball and socket at A and the cables $BD$ and $BE.$ The collar at $B$ is fixed to the boom.

$($a$)$ Draw the free$-$body diagram of the boom.

$($b$)$ Determine the tensions in the cables and the reactions at $A.$

$8\mathrm{.}12$ The cables $BD$ and $BE$ in Problem $8\mathrm{.}11$ will each safely support a tension of $25$ kN $.$ Based on this criterion, what is the largest acceptable magnitu

Problems $8\mathrm{.}11/8\mathrm{.}12$