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Questions  

A string is wrapped around a cylinder of mass M and radius R. The string is pulled vertically upwards to prevent the centre of mass from falling as the cylinder unwinds the string. The tension in the string is

a
Mg6
b
Mg3
c
Mg2
d
2Mg3

detailed solution

Correct option is B

Equation of motion isMg−T=Ma..........(ii)Taking torque about the axis passing through the centre of the spool and perpendicular to it,TR=Iα=12MR2a2T=12Ma............(ii)From Eqs. (i) and (ii),Ma=Mg−12Maa=2g3∴ T=Mg3

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