4) A frictionless rod of length L rotates counterclockwise in the xy plane with constant angular speed w. A bead of mass m, free to slide on the rod, leaves the origin with initial speed vo along the rod. (Picture on next page) a) Find the equations of motion for the bead as seen by an observer co-rotating with the rod. b) Find the time it takes for the bead to reach the end of the rod. c) Find the magnitude of the normal force on the bead at the instant it reaches the end of the rod. N