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Dec 5, 2018 at 13:20 comment added Gert shouldn't the friction be acting so as to maintain it in pure roll, and so then shouldn't friction do work? A common misconception. The friction force does not do any work because it doesn't move wrt the surface. If you hold your finger against a surface against friction but w/o moving the finger, is work performed? No because no displacement!
Dec 5, 2018 at 13:18 vote accept karun mathews
Dec 5, 2018 at 13:16 comment added karun mathews Thanks a lot! Another doubt, I think that friction is the only force present - that can produce torque in the sphere, as all the other forces act through the center of mass of the sphere. So if the sphere slows down $while $$in $$pure $$roll$ shouldn't the friction be acting so as to maintain it in pure roll, and so then wouldn't friction do work?
Dec 5, 2018 at 12:26 comment added Gert Correct. Only if the friction is insufficient to maintain $v=\omega R$ would the friction force do work, because it 'slides' over the surface. $-mg\Delta h$ is the only work done here.
Dec 5, 2018 at 12:07 comment added karun mathews So, friction doesn't do any work on the sphere, while the sphere is rolling up? If I use the work - energy theorem: Work done= ΔKinetic Energy. Will the work done term only have -mgΔh ?
Dec 5, 2018 at 11:51 history answered Gert CC BY-SA 4.0