A wrecking ball (weight \( =5630 \mathrm{~N} \) ) is supported by a boom, which may be assumed to be uniform and has a weight of 3170 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 \( 32^{\circ} \), and the angle between the boom and the horizontal is \( 48^{\circ} \). 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