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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
A sphere of radius R is uniformly charged to a total charge of Q. It is made to spin about an axis that passes through its center with an angular speed ω. Find the magnitude of the resulting magnetic field at the center of the sphere.
A resistor is in the shape of a cube, with each side of resistance R . Find the equivalent resistance between any two of its adjacent corners.
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