A particle of mass m and velocity `v_(0)` 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 and the particle sticks to the surface of hte cylinder, thenA. Angular speed of the system just after the particle stick is `(2 mv_(0)d)/(R^(2)(M+2m))`B. Mechanical energy is conservedC. angular speed of the system just after the particle sticks is `( mv_(0)d)/(R^(2)(M+2m))`D. Mechanical energy is not conserved

A particle of mass m and velocity `v_(0)` is fired at a solid cylinder

1.	A particle of mass m and velocity `v_(0)` 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 and the particle sticks to the surface of hte cylinder, thenA. Angular speed of the system just after the particle stick is `(2 mv_(0)d)/(R^(2)(M+2m))`B. Mechanical energy is conservedC. angular speed of the system just after the particle sticks is `( mv_(0)d)/(R^(2)(M+2m))`D. Mechanical energy is not conserved
Answer» Correct Answer - A::D

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