The structure $AB$ is supported by cable $BC$ and is held loosely $($allowing movement but not rotation along the $x-$axis$)$ at $A$

by the square rod inserted through the end of the structure. A cylinder of mass $21kg$ is hanging off the corner. Given

$a=0\mathrm{.}3m,b=7m,$ and $c=2m.$ Hint: The support A can provide five reactions $A_{z^{\text{'}}}{A}_{y^{\text{'}}}(M_A{)}_{x^{\text{'}}}(M_A{)}_y$ and $(M_A{)}_z$

Determine the magnitude of components of reaction at A and the tension in the cable needed to hold everything in

equilibrium.

$F_{BC}=,N$

$A_y=,N$

$A_z=,N$

$(M_A{)}_x=,Nm$

$(M_A{)}_y=,Nm$

$(M_A{)}_z=,Nm$