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Four balls, each of mass m, are connected by four identical relaxed springs with spring constant k. The balls are simulataneously given equal initial speeds v directed away from the center of symmetry of the system. Find the maximum displacement d of any one of the balls from its initial position? Express d in terms of some or all of the given quantities k, v, and m.
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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