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, then

Answer»

ANGULAR speed of the SYSTEM just after the PARTICLE stick is `(2 mv_(0)d)/(R^(2)(M+2m))`
Mechanical ENERGY is conserved
angular speed of the system just after the particle sticks is `( mv_(0)d)/(R^(2)(M+2m))`
Mechanical energy is not conserved

Answer :A::D


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