Angular velocity

Jul 2008
I have this pole with mass M and length L which is on a flat table with no friction. Another particle, which has the same mass M hits him on its edge with velocity V, which is vertical to the pole.
then, the particle sticks to the pole and they move together.
I need to find both the Angular velocity and the regular velocity of the new body.
My question is about the regular velocity, can I use the conservation of linear momentum law and say that mv = 2mv', and to find the regular velocity?