A bead of mass m moves on a xed frictionless wire shaped as a cycloid: x = a( sin ) y = a(1 + cos ) The wire is oriented in a vertical plane, with the +y direction pointing upward and the gravitational force downward. 1. Find the di erential equation(s) of motion for the bead, but do not solve the equation(s). 2. Find the frequency of small amplitude oscillations of the bead on the wire about the equilibrium location.