Consider a spinning disk with radius 10 cm. A quarter is rolled along a diameter at a rate of 10cm/sec. If the disk is spinning clockwise at the rate of w = p radians per second, find the path the quarter takes relative to the disk. Assume the quarter moves along the disk along a diameter, and is not affected by the spin of the disk.

Also find the path for w = 2p, 3p, 4p, p/2, 1 and 4 (radians per second).