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A top is a toy that is made to spin on its pointed end by pulling on a string wrapped around the body of the top. The string has a length of 72 cm and is wrapped around the top at a place where its radius is 2.3 cm. The thickness of the string is negligible. The top is initially at rest. Someone pulls the free end of the string, thereby unwinding it and giving the top an angular acceleration of +10 rad/s2. What is the final angular velocity of the top when the string is completely unwound?
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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