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A Ferris wheel with radius 38m is driven by a motor that exerts a force on the wheel 1m from the center. Model the Ferris wheel as a ring with mass 1.9 x 106kg. What force must the motor exert to cause the wheel to start from rest and increase its angular speed to 0.2rpm in 2minutes? At this angular speed, what is the centripetal force acting on a seat of mass 50kg at the edge of the wheel? If this force results from the sum of the weight and a normal force acting on the seat, what is the normal force at the bottom of the wheel's trajectory? At the top?
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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