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A uniform rod OA of mass M and length 2a...

A uniform rod OA of mass M and length 2a rests on a smooth table and is free to turn about a smooth pivot at its end O, in contact with it at a distance b from O is an inelastic particle of mass m, a horizontal blow of impulse p is given to rod at a distance x from O in a direction perpendicular to the rod. The resultant intantaneous angular velocity of the rod is

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A uniform rod of length L and mass M is lying on a frictionless horizontal plane and is pivoted at one of its ends as shown in Fig. There is no friction at the pivot. An inelastic ball of mass m is fixed with the rod at a distance L//3 from O . A horizontal impulse J is given to the rod at a distance 2L//3 from O in a direction perpendicular to the rod. Assume that the ball remains in contact with the rod after the collision and impulse J acts for a small time interval /_\t . Now answer the following questions: Find the impulse acted on the ball during the time /_\t

A uniform rod of length L and mass M is lying on a frictionless horizontal plane and is pivoted at one of its ends as shown in Fig. There is no friction at the pivot. An inelastic ball of mass m is fixed with the rod at a distance L//3 from O . A horizontal impulse J is given to the rod at a distance 2L//3 from O in a direction perpendicular to the rod. Assume that the ball remains in contact with the rod after the collision and impulse J acts for a small time interval /_\t . Now answer the following questions: Find the impulse acted on the ball during the time /_\t