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This question already has an answer here:

We know that non-conservative forces like friction is a dissipative force.

But according to my book when a solid cylinder is rolling down a rough inclined plane of inclination angle $\theta$ the friction is not dissipative. Why is it so?

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marked as duplicate by John Rennie, RedGrittyBrick, user36790, Kyle Kanos, John Duffield Nov 10 '15 at 13:30

This question has been asked before and already has an answer. If those answers do not fully address your question, please ask a new question.

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Because the work done by friction is converted into rotational kinetic energy of the cylinder, since friction provides the torque to roll down the cylinder.

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