1) A pulley with two different radii is constructed by welding two cylinders together such that their symmetry axes align. The first cylinder has radius ra = 1 = 0.500 m and has a mass ma = 5.00 kg (this is NOT the mass mi). The second cylinder has a radius To = 12 = 0.700 m and has a mass m; = 8.00 kg (this is NOT the mass m2). Recall for a cylinder that I = } MR2. (a) What is the total moment of inertia of this combined pulley? This physical pulley is used in the setup depicted below, which we now consider. T2 m2 (b) Take that the positive direction of motion is m2 sliding to the left, the pulley rotating counterclockwise, and m, falling. If the pulley is spinning with angular speed w, what are the velocities of m, and m2? (your answer will be completely symbolic: leave 71 and 72 symbolic at this stage) (c) The above relations are true for any w. Let us denote by a, the acceleration of m1, and let us denote by a2 the acceleration of m2. If the angular acceleration of the pulley is a, write the acceleration al in terms of 1, 72, and a. Do likewise for a2. (your answer will be completely symbolic: leave r1 and 72 symbolic at this stage)