A uniform rod of length I and mass 2nt rests on a smooth horizontal table. A point mass m moving horizontally at right angles to the rod with an initial velocity V collides with one end of the rod and sticks to it. Determine
(a) The angular velocity of the system after the collision.
(b) The position of the point on the rod which remains stationary immediately after the collision, and
(c) The change in kinetic energy of the system as a whole as a result of the collision.