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Sliding and rotating disc with friction?
Here's a challenge: Prove that when a solid disc is set sliding at some speed on a horizontal surface with friction and also is given an arbitrary rotation (set spinning) , both motions will cease simultaneously. In other words, prove that you will never find that the disc is still translating while the rotation already stopped or that the disc stops translating but after that is still rotating for a while.
3 Answers
- trueproberLv 76 years agoFavorite Answer
Hello Dr Zorro, I think this type of motion is equivalent to a spiral motion on a frictional surface. So simultaneously both the motions would stop.
- Dr. ZorroLv 76 years ago
Trueprober: interesting thought, but it isn't quite convincing though. You really have to write the equations of motion and play around with those to prove the result. At least that's how I did it. But maybe there is a compelling (topo)logical answer as well, so keep thinking about this problem 😄
