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Q. Two doors of the same unknown dimension lay inline and parallel horizontally to one another (Example: As viewed from above in an architectural drawing, the inner and outer doors in the same opening of a structure). Door A is the top door in the drawing, door B is on the bottom. Door A rotates on an axis through its left edge, while door B rotates about an axis through its center. The similar force F is applied vertical to each door at its right edge in the same direction on both doors, and the force remains perpendicular as the door turns. Starting from rest, door A rotates through a certain angle in 3 seconds. How long does it take door B to rotate through the same angle?
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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