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Question
A cockroach of mass m lies on the rim of a uniform disk of mass 5 m that can rotate freely about its center like a merry-go-round. Firstly the cockroach and disk rotate together with an angular velocity of 0.285 rad/s. Then the cockroach walks halfway to the center of the disk.
(a) What after that is angular velocity of the cockroach-disk system?
(b) What is ratio K/K0 of the new kinetic energy of the system to its initial kinetic energy?
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.
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