Course Contents $...$ HW $--$ Extra Credit $($Sections $001$ and $002)$

Hinge on Beam

A $28\mathrm{.}0$ kg beam is attached to a wall with a hinge and its far end is supported by a cable. The angle between the beam and the cable is $90$o$.$ If the beam is inclined at an angle of $=12\mathrm{.}6$ with respect to horizontal.

What is the horizontal component of the force exerted by the hinge on the beam? $($Use the $`$to the right' as $+$ for the horizontal direction.$)$