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a cat with mass 4.5 kg is sitting on top of a turntable of mass 20 kg and radius 1.4 m. Both the cat and the turntable are initially at rest, and the cat is located 0.6 m from the center of the turntable. If the cat starts to walk forward in a circle of constant radius with a (linear) velocity of 4 m/s, the turntable will start to rotate the opposite way to conserve angular momentum. Calculate the magnitude of the angular velocity of the turntable in rotations per minute (rpm). You can assume that the turntable is a solid disk.
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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