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What is the total work performed by friction when a drum descends while rolling without slipping?

1. The total work done is zero.
2. The sum of translational and rotational work equals zero; changes in translational and rotational kinetic energy are also zero.
3. Friction transforms translational kinetic energy into rotational kinetic energy.
4. The net work done by friction is zero.

Correct answer: The total work done is zero.

Solution

When a drum rolls down without slipping, the frictional force does no net work because it only facilitates rolling motion by preventing slipping, without dissipating energy.

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