The free end of the string wound on the surface of a solid cylinder of mass M \& radius \( r \) ...

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The free end of the string wound on the surface of a solid cylinder of mass M \& radius \( r \) is pulled up by a force \( \mathrm{F} \) as shown. If there is sufficient friction between cylinder \& floor so that the cylinder is able to roll without slipping, find the maximum angular acceleration that the cylinder can have (without cylinder leaving contact with surface).
\( P \)
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