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A particle of mass m and velocity v0 is fired at a solid cylinder of mass M and radius R. The cylinder is initially at rest and is mounted on a fixed horizontal axle that runs through the centre of mass. The line of motion of the particle is perpendicular to the axle and at a distance d (less than R) from the centre. If the particle sticks to the surface of the cylinder, then angular speed of the system just after the particle sticks is

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A particle of mass m and velocity v0 is fired at a solid cylinder of mass M and radius R. The cylinder is initially at rest and is mounted on a fixed horizontal axle that runs through the centre of mass. The line of motion of the particle is perpendicular to the axle and at a distance d (less than R) from the centre. If the particle sticks to the surface of the cylinder, then angular speed of the system just after the particle sticks is



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