A wrecking ball (weight 5400 N) is supported by a boom, which may be assumed to be uniform and has a weight of 3200 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 degrees, and the angle between the boom and the horizontal is 48 degrees. Find the tension in the support cable and find the magnitude of the force exerted on the lower end of the boom by the hinge.