Q $8.(6$ pt$.)$

Member $AB$ is supported by cable $BC$ and at $A$ by a square rod which fits loosely through the square hole in the collar fixed to the member as shown. Determine the components at reaction at A and tension $(T_{BC})$ in the cable needed to hold the rod in equilibrium.

Hint: Must sketch FBD$,$ Establish force equilibrium equations in $x,y,z$ axes and moment equilibrium equations about $x,y,z$ at point $A.$ Show results in box.