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Question
Assume that a climber having mass M, and who are L tall, rappels down a vertical cliff with her body rose at a 43 degree angle above the horizontal. The climber has a center of gravity at R_g from her feet; she holds the rope at R_r from her feet, and makes at a 23 degree angle with the cliff face. Also, hanging straight down from her shoulders (a distance R_b from her feet) is a backpack having mass m. assume that R_g < R_r < R_b < L. Call horizontal and vertical forces between her feet and the wall H and V. write down the expression for net torque acting on her with respect to the top of her head.
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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