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A uniform solid cylinder of mass m rests...

A uniform solid cylinder of mass m rests on two horizontal planks. A thread is wound on the cylinder. The hanging end of the thread is pulled vertically down with a constant force F(figure).
Find the maximum magnitude of the force F which still does not bring about any sliding of the cylinder, if the coefficient of friction between the cylinder and the planks is equal to k. What is the acceleration `w_(max)` of the axis of the cylinder rolling down the inclined plane?

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