Engineering
Physics
Moment of Inertia
Angular Momentum and Conservation of Angular Momentum
Forces and Types of Forces
Question

Two empty bucket spin around in a horizontal circle on frictionless bearings. Suddenly, it starts to rain. As a result.

The buckets continue to rotate at constant angular velocity because the rain is falling vertically while the buckets move in a horizontal plane.

The buckets continue to rotate at constant angular velocity because the total mechanical energy of the bucket + rain system is conserved.

The buckets speed up because the potential energy of the rain is transformed into kinetic energy.

The buckets slow down because the angular momentum of the bucket + rain system is conserved.

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Solution
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There is no net torque on the bucket + rain system, so the angular momentum is conserved. The addition of mass on the outer edge of the circle increases I, so ω must decrease. Mechanical energy is not conserved because the raindrop collisions are inelastic.