Two buckets spin around in a horizontal circle on frictionless bearings. Suddenly, rain starts. As a result,

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

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

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

answer is D.

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Detailed Solution

There is no net torque on the bucket + rain system, so the angular momentum is conserved. The additional of mass on the outer edge of the circle increases moment of inertia, I. So, $ω$ must decrease as $'' L = I ω''$ . Mechanical energy is not conserved because the raindrop collisions are inelastic.

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