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A uniform solid cylinder of mass m rests...

A uniform solid cylinder of mass `m` rests on two horizontal planks as shown in Fig. A thread is wound on the cylinder. The hanging end of the thread is pulled vertically up with a force `F`. What is 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 `mu`. What is the maximum acceleration of the axis of the cylinder?

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