Question
Suppose the particle of the previous problem has a mass m and a speed ν before the collision and it sticks to the rod after the collision. The rod has a mass M.
(a) Find the velocity of the centre of mass C of the system constituting "the rod plus the particle".?
(b) Find the velocity of the particle with respect to C before the collision.
(c) Find the velocity of the rod with respect to C before the collision.
(d) Find the angular momentum of the particle and of the rod about the centre of mass C before the collision.
(e) Find the moment of inertia of the system about the vertical axis through the centre of mass C after the collision.
(f) Find the velocity of the centre of mass C and the angular velocity of the system about the centre of mass after the collision.