A wrecking ball $($weight $=4040N)$ is supported by a boom, which may be assumed to be uniform and has a weight of $3690$ N $.$ As the drawing shows, a support cable runs from the top of the boom to the tractor. The angle between the support cable and the horizontal is $32,$ and the angle between the boom and the horizontal is $48.$ Find $($a$)$ the tension in the support cable and $($b$)$ the magnitude of the force exerted on the lower end of the boom by the hinge at point $P.$

$($a$)$ Number $$ Units

$($b$)$ Number $$ Units