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Exercise 2 A pulley is composed of two glued concentric disks of masses M, and My and radii Ry and Ry, with R1 > Ry. Two point masses, my and ma, lie on two friction-less planes with the same inclination 8, and are attached by two ropes that run through the pulley: m, is linked to the external disk (radius R1) whereas my is linked to the internal disk. The configuration is shown in the Figure. Assume that both ropes can't slip on the respective disk. mz m Evaluate the results in: {M1 = 8.2 Kg, My = 5.5 Kg, R1 = 1.2m, Ry = 0.8m, mj = 7.9Kg, my = 12.3 Kg,0 = 1. Suppose that a time t = 0 both the masses are at the same height and are at rest. After a time t* mass my has risen by a height hi = 0.6m. What is the angular velocity w of the pulley at time t*? Give the result for w in terms of MI, R1, Me, Ra, mi, my, 0, hi, and universal constants (not all the variables appear necessarily in the result). (a) 0.66 rad/s Answer (b) 0.36 rad/ s (c) 0.25 rad/s (d) 0.47 rad/s (e) 0.31 rad/ s