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A teenager pushes tangentially on a small hand-driven merry-go-around and is able to accelerate it from rest to a frequency of 15 rpm in 10.0 s. Assume the merry-go-round is a uniform disk of radius 2.5 m and has a mass of 760 kg, and two children (each with a mass of 25 kg) sit opposite each other on the edge. Upon reaching 15rpm, the teenager stops pushing. Both children walk radially inward to the center of the merry-go-round. Determine the final rotational velocity of the merry-go-round system and the net work performed by the children. also calculate the angular displacement.
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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