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One end of a stretched string is moved transversely at constant velocity Vy for a time T, and is moved back to its starting point with velocity -Vy during the next interval T. As a result, a triangular pulse is set up on the string and it moves along it with speed V. Calculate the kinetic and potential energy energies associated with the pulse, and show that their sum is equal to the total work done by the transverse force that has to be applied at the end of the string.
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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Determine the tension in each string
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