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Homework "Angular Momentum"
1. A skater spins on the ice with the arms stretched out and she is making one rotation per second, ω1 = 6.28 rad/s. Then she pulls arms toward the body. Consider that the arms have effective mass m, and the distance of the effective mass from the axis of rotation initially was r1 = 0.5 m.
Then when the arms are pulled back, the distance of the effective mass from the axis of rotation became r2 = 0.2 m.
Calculate the angular velocity of the skater ω2, when she pulls her arms.
Is it faster or slower then initial rotation?
2. A bicycle is moving with linear velocity v = 5 m/s. Each bicycle wheel has the mass m = 5 kg. Consider that the mass of the wheel is distributed in the rim. The bicycle has two identical wheels, and the frame of the bicycle has the mass M = 10 kg.
Calculate the total kinetic energy of the bicycle.
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.
Question: Field and force with three charges? What is the electric field at the location of Q1, due to Q 2 ?
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Quadrupole moments in the shell model
Determine the tension in each string
Calculate the smallest coefficient of static friction necessary for mass A to remain stationary.
Evaluate maximum altitude?
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