A thin, uniform rod of length L and mass M is pivoted about one end, as shown in. The rod...

A thin, uniform rod of length L and mass M is pivoted about one end, as shown in. The rod is released from rest in a horizontal position, and allowed to swing downward without friction or air resistance. When the rod is vertical, what are (a) its angular speed w and (b) the tangential speed vt of its free end?

FIGURE