Find the velocity of the centre of mass C of the system constituting 'the rod plus the particle'.
A uniform rod of mass 'M' and length 'a' lies on a smooth horizontal plane. A particle of mass m moving at a speed 'v' perpendicular to the length of the rod strikes it at a distance a4 from the center and stops after the collision. Find (a) the linear velocity of the center of the rod and (b) the angular velocity of the rod about its center just after the collision.
A spacecraft of mass M explodes into two parts when its velocity is V. After the explosion, one part of mass m is left stationary. What is the velocity of the other part?
ILLUSTRATION: A particle (a mud pallet, say)of mass m strikes a smooth stationary wedge of mass M
with a velocity v0, at an angle θ with horizontal. If the collision is perfectly inelastic, find the velocity of
the wedge just after the collision.