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A 4.3 meter long plank with a weight of 164 Newton is place on a dock with 1.4 meter of its length extended over the water. The plank is uniform in density. A boy with a weight of 141 Newton is standing on the plank and moving out slowly from the edge of the dock. Find how far from the edge of the dock can the boy move until the plank is just on the verge of tipping?
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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