A load of mass m is attached to the end ...

A load of mass `m` is attached to the end of a string wound on a cylinder of mass `M` and radius `R`. The string passes round a pulley.
a. Find the acceleration of the cylinder `M` when it rolls.
b. If the coefficient of friction is `mu`. Find the accelerative of the cylinder when it slips and rolls.
c. Find the minimum value of coefficient of friction for which the cylinder rolls always

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