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Under the action of a certain torque, a body of moment of inertia I=4kg*m^2 rotates about a fixed axis. Assume that at an instant when its angular velocity is 100 rad/s the torque suddenly comes to act.
a) Determine the maximum kinetic energy of the body?
b) Calculate the strength of a constant decelerating torque required so that it comes to rest 6 sec after the original torque has caused to act?
c) Compute how much torque is caused by this decelerating torque?
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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