A system of weights and pulleys is assembled as shown below. The pulleys are all fixed. The pulleys on the sides are disks of mass ma and radius Rd; the central pulley is a hoop of mass m, and radius R. A massless ideal rope passes around the pulleys and joins two weights. The rope does not slip. The two weights have masses m and my respectively. Use energy methods to find the velocity of the weights as a function of displacement, x. The moment of inertia of a disk is Idisk = MR and of a hoop is Ihoop = MR. m m