Do not round intermediate answers. Give your final answer$($s$)$ to three decimal places. Check your units.

The rectangular plate shown has a mass of $18$ kg and is held in the position shown by hinges A and $B$ and cable $EF.$ Assuming that the hinge at $B$ does not exert any axial thrust, determine:

$($a$)$ the tension in the cable,

$($b$)$ the reactions at A and $B.$

Notice that the hinges are under normal conditions of use, and therefore will not exert any appreciable moments.

$T=N$

$Ax=N$

$Ay=N$

$Az=N$

$Bx=N$

$By=N$

$Bz=N$