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A cockroach of mass m lies on the rim of a uniform disk of mass4.0m that can rotate freely about its center like a merry-go-round.Initially the cockroach and disk rotate together with an angularvelocity of .260 rad/s. Then the cockroach walks halfway to thecenter of the disk. (a) What then is the angular velocity of thecockroach-disk system? (b) What is the ratio K/Ko of the newkinetic energy of the system to its initial kinetic energy? (c)What accounts for the change in the 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.
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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