PRO Time - 25 minutes Directions: Answer the following question; the suggested time is about 25 minutes. The parts within a question may not have equal weight. Show all your work in the space provided. (a) Two identical spring scales are each attached to a cord that is wrapped around a pulley, as shown in Figure 1. The two pulleys Pulley A Pulley B have identical mass M, and radius R,. However, Pulley A is a solid disk, whereas Pulley B has most of its mass located at its outer rim. Both pulleys can rotate about their centers with negligible friction in their axles. Spring Spring The pulleys are initially at rest when the two spring scales are Scale Scale pulled with the same constant force F,, causing both pulleys to Figure 1 rotate. Predict which of the pulleys, if either, will complete one revolution first. marl boat Pulley A Pulley B Both pulleys will complete one revolution at the same time. bold sill Without writing or manipulating equations, provide reasoning for your selection.(b) i. Derive an equation for the time t, it takes Pulley A to complete one revolution. Let I, be the pulley's rotational inertia, Express your answer in terms of Fs, IA, Me, R, and physical constants, as appropriate