Suppose that a bicycle wheel of radius a rolls along a flat surface without slipping. A reflector is attached to a spoke of the wheel at a distance b from the center of the wheel. Find a set of parametric equations for the resulting curve traced by the reflector. You may assume that the wheel is oriented such that the reflector initially starts vertically down (i.e., initially, the reflector lies on the vertical line segment that connects the ground and the center of the wheel).