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A beam of length L and mass M rests on two pivots. The first pivot is at the left end, taken as the origin, and the second pivot is at a distance l from the left end. A lady of mass m starts at the left end and walks toward the right end. When the beam is on the verge of tipping, determine symbolic expression for
A) the normal force exerted by the second pivot in terms of M, m, and g.
B) the lady's position in terms of M, m, L, and l.
C) Determine the minimum value of l that will allow the lady to reach the end of the beam without it 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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