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A string is wrapped around a cylinder of...

A string is wrapped around a cylinder of mass M and radius R. The string is pulled vertically upward to prevent the centre of mass from falling as the string unwinds. Assume that the cylinder remains horizontal throughout and the thread does not slip. Find the length of the string unwound when the cylinder has reached an angular speed `omega`.

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The correct Answer is:
`(R^(2) omega^(2))/(4 g)`
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