PSQ$1.$ As shown, a $45\mathrm{.}0$ kg boy sits on a $6\mathrm{.}00$ m steel beam at a point $1\mathrm{.}50$ m away from its right end. The steel beam $(825$ kg $)$ is hinged to the wall at

the left end and supported by a cable at the right end at an angle of theta$=30\mathrm{.}0^($@$).$

$($a$)$ Draw a force diagram for the beam $+$ boy system.

$($b$)$ Find the tension force in the cable.

$($c$)$ Find the components of the supporting force exerted by the hinge.