Figure Pl2-7 shows a system with three weights on a rotating shaft. W2 = 10 lb@ 90° at a 3-in radius, W3 = 10 lb @ 180° at a 4-in radius, and w3 = 8 lb @ 315° at a 4- in radius. Determine the magnitudes and angles of the balance weights needed to dynamically balance the system. The balance weight in plane 1 is placed at a radius of 4 in and in plane 5 of 3 in.