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A catapult with a radial arm 4.19 m long accelerates a ball of mass 19.1 kg through a quarter circle. The ball leaves the apparatus at 41.6 m/s. The mass of the arm is 22.6 kg and the acceleration is constant. Hint: Use the time-independent rotational kinematics equation to find the angular acceleration, rather than the angular velocity equation.
(a) Find the angular acceleration.
(b) Find the moment of inertia of the arm and ball.
(c) Find the net torque exerted on the ball and arm.
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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