Light thread is slightly wound on a uniform solid cylinder of radius R. The cylinder is placed on a smooth horizontal table and the thread is pulled horizontally as shown by applying a constant force F. How much length of the thread is unwound from the cylinder by the time its kinetic energy becomes equal to k.

Question

Thread wound on a solid cylinder pulled by force F

TestHub · Accepted Answer

Work by the pulling force equals F times unwound length. Translation and rotation split the work so the unwound length is 2k/(3F).

Physics - Rotation Question with Solution | TestHub

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