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A 129-kg horizontal platform is a uniform disk of radius 1.57 m and can rotate about the vertical axis through its center. A 69.5-kg person stands on the platform at a distance of 1.01 m from the center and a 25.9-kg dog sits on the platform near the person, 1.39 m from the center. Find the moment of inertia of this system, consisting of the platform and its population, with respect to the axis.
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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