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A uniform disk of mass 4m is rotating an a plane parallel to the ground with angular frequency of 12 rad/sec. A particle of mass, m is dropped on the surface of the disk at a distance r/2 from the center. Assuming the particle sticks to the disk, what is the angular frequency of the disk/particle system after it sticks? What fraction of kinetic energy was lost?
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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