A 0.11-kg bullet is fired with a velocity of 87.1 m/s into a solid cylinder of mass 15.1 kg and radius 0.33 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 d = 0.0081 m from the center. Find the angular speed of the system after the bullet strikes and adheres to the surface of the cylinder.