Question

A bullet of mass = 0.13 kg is fired with a velocity of = 87.1 m/s into a solid cylinder of mass = 17.1 kg and radius = 0.29 m. The cylinder is initially at rest and is mounted on a fixed vertical axis that runs through its center of mass. The line of motion of the bullet is perpendicular to the axis and at a distance = 0.0067 m from the center. Find the angular speed of the system after the bullet strikes and adheres to the surface of the cylinder.