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A potter is spinning a pottery wheel that has a moment of inertia equal to 500 kg·m² and a radius of 2.0 m. It rotates at 2.50 rad/s and faces insignificant friction. Aiming toward the center of the spinning wheel, about which it rotates, the potter pushes some clay onto the edge of the wheel. This changes the wheel speed to 1.75 rad/s. Calculate the mass of the clay.
A roundabout in a park has a diameter of 3.4 m and is rotating freely at an angular speed of 0.90 radians per second. The roundabout's total moment of inertia is calculated to be about 1540 kg·m². If three children initially on the ground, each weighing about 55 kg, decide to hop onto its edge, what would be its new angular speed?
A bicycle wheel with a mass of 1.2 kg and a radius of 35 cm spins about its axle at 120 rad/s. The wheel is mounted so that the axle is horizontal and the axle length from the pivot to the center of the wheel is 50 cm. Calculate the rate at which the axle precesses about the pivot point.
Which formula represents the angular momentum contribution of a point mass at a distance r from the axis of rotation?