Two small balls A and B, each of mass m, are joined rigidly at the ends of a light rof of length L. they are placed on a frictionless horizontal surface another ball of mass 2 m moving with speed u towards one of the ball and perpendicular to the length of the rod on the horizontal frictionless surface as shown int he figure. if the coefficient of restitution is 1/2 then the angular speed of the rod after the collision will be
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