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a frictionless table, and is struck by a particle of mass M and velocity v0. After the collision, the projectile moves straight back. Find the

angular velocity of the rod about its center of mass after the collision, assuming that

mechanical energy is conserved.

i tried to solve this question using the conservation of linear momentum first.

using ((m-2m)/3m)v0 to find the speed of the mass M after collision.

(2m/3m)v0, to find the speed of the rod after collision.

translational speed of the rod = (2/3v0 - wr)

angular speed of the rod = w

hence i used the conservation of energy method to solve for w.

however, my answer is incorrect. may i know which part, i am wrong