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Two small balls A and B each of mass m are joined rigidly to the ends of a light rod of length L. The system translates on a frictionless horizontal surface with a velocity v in a direction perpendicular to the rod. A particle P of mass m kept at rest on the surface sticks to the ball A as the ball collides with it. Find (a) the linear speeds of the balls A and B after the colloision (b) the velocity of the centre of mass C of the system A+B+P and (c) the angular speed of the system about C after the colloision.

Two small balls A and B each of mass m are joined rigidly to the ends of a light rod of length L. The system translates on a frictionless horizontal surface with a velocity v in a direction perpendicular to the rod. A particle P of mass m kept at rest on the surface sticks to the ball A as the ball collides with it. Find (a) the linear speeds of the balls A and B after the colloision (b) the velocity of the centre of mass C of the system A+B+P and (c) the angular speed of the system about C after the colloision.

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