A wrecking ball (weight = 5680 N) is supported by a boom, which may be assumed to be uniform and has a weight of 2520 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.