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Q1. A mountain climber, in the process of crossing between two cliffs by a rope, pauses to rest. She weighs 550 N. As drawing shows, she is closer to the left cliff than to the right cliff, with the result that tensions in the left and right sides of the rope are not the same. Find the tensions in the rope (a) to the left and (b) to the right of mountain climber.
Q2. A trapeze artist swings in simple harmonic motion with a period of 4.2s. The acceleration of gravity is 9.81m/s2. Compute the length of the cables supporting the trapeze.
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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