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A rope connects a 25 kg mass sitting on a 30 degree incline with a hanging mass of 90 kg, the rope passes over a 12kg disk-shaped pulley that has a radius of 0.250m. When the system is released, the heavier mass descends, the rope turns over the pulley without slipping, and the lighter mass ascends the incline. Calculate the tension in the in rope and the linear acceleration of the two masses by APPLYING NEWTON'S LAWS.
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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