A bullet of mass m 1 is fired into a rod of length L and mass m 2 which is pivoted on one end and rests on a frictionless horizontal surface. The bullet's velocity v → i is horizontal, perpendicular to the rod, and a distance 3 L 4from the pivot. The bullet passes through the rod and continues moving in a straight line. Its kinetic energy after emerging from the rod is 1 2 of its initial kinetic energy. Determine the angular speed of the rod, about the pivot point, immediately after the bullet passes through. Express your answer in terms of m 1 , m 2 , v i , L, and constant(s).