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The sphere shown in figure lies on a rough plane when a particle of mass...

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The sphere shown in figure lies on a rough plane when a particle of mass m traveling at a speed vo collides and sticks with it If the line of motion of the particle is it a distance h above the plane find a the linear speed of the combined system just after the collision b the angular speed of the system about the center of the sphere just after the collision and c the value of h for which the sphere starts pure rolling on the plane Assume that the mass M of the sphere is large compared to the mass of the particle so that the centre of mass of the combined system is not appreciably shifted from the centre of the sphere T h m

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