A cockroach of mass m lands at the center of the disk of a turntable and starts moving towards the edge of the disk with a fix speed while the disk is turning.
1) If the angular velocity of the disc right before the landing was ω0, what will it be when the cockroach reaches the edge of the disc?
2) Determine how will the angular velocity change if the cockroach starts walking clock-wise on the disk with a fix speed v relative to the ground?
3) Find how will the angular velocity change if instead of walking around, the cockroach jumps of the edge of the disk?