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Q1. A spool of thin wire (with inner radius r = 0.50 m, outer radius R = 0.56 m, and moment of inertia Icm = 0.81 kg*m2 pivots on a shaft. The wire is pulled down by a mass M = 1.40 kg. After falling a distance D = 0.52 m, starting from rest, the mass has a speed of v = 75.400 cm/s. compute the energy lost to friction during that time.
Q2. A series of small machine components being moved by a conveyor belt passes over a 140-mm-radius idler pulley. At the instant shown, the angular velocity of the idler pulley is 5 rad/s clockwise. If the total acceleration of point B is 2400 mm/s2, what is an angular velocity of the idler pulley?
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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Illustrate the cause of the components accelerating from rest down the conveyor.
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