1. A uniform disk of mass 1 kg is spinning on its (vertical) axis of symmetry (remember rotational inertia of a disk is given by 0.5mr^2), with an angular velocity of 6 rad/s. A piece of mud of mass 1 kg is dropped on the disk halfway between the center and the edge and the disk slows down. What is it's angular velocity now? Answer in rad/s.
2. A small child is on a merry go round which is spinning (no friction) freely. He crawls from the center to towards the rim. As he does this, angular momentum conservation will dicate that:
a) rate of turning stays the same
b) merry go round slows down
c) merry go round speeds up
3. A mother rabbit has a mass of 0.8 kg. Her baby has a mass of 0.1 kg. Both rabbits are skinned to make clothes. The baby has 40 cm^2 of skin. How much does the mother have? Answer in cm^2