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A cylinder of mass M is suspended through a two strings wrapped around it an shown in figure.

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A cylinder of mass M is suspended through a two strings wrapped around it an shown in figure. find the linear acceleration of centre of mass of the cylinder.

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For translatory motion of centre of mass

Mg – T = Ma ...(1)

For Rotational motion of cylinder w.r.t. an axis passing through the centre of mass

Relation between a & α 

a = Rα ...(3)

solving (1), (2) and (3) we get

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