Question

Four items, all with equal masses, are used to construct the device depicted to the right. Two of the items are uniform solid disks, the smaller of which has half the radius of the other. The disks are glued together so that they share a common axle. The other two items are blocks, which are attached to (massless) ropes, each wound around a different disk, as shown in the diagram. The whole system begins at rest,with the block attached to the smaller disk starting at a lower elevation than the other block. The blocks are released and begin to fall, while the disks turn and the ropes unwind (the disks are glued together, so they turn at equal speeds at all times). Find the rotational speed of the disks (in rad/s) when the blocks reach the same height.The radius of the smaller disk is R = 0.60m, and the blocks start at a height difference
of d = 1.5m.