Two cylinders with the same radii of 0.2 m rest on the same axis of rotation and are initially spaced in the vertical plane. The lower cylinder weighs 2 kg and the upper 1 kg. Initially, only the lower cylinder rotates at an angular velocity of 12 rad/s. At some point, the upper cylinder falls on the lower one. The cylinders initially slip until they both begin to rotate at the same angular velocity.
What is the angular velocity of both cylinders after the coupling?
What is the angular impulse with which the lower cylinder acts on the upper during coupling?
