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A rope of negligible mass is wound round...

A rope of negligible mass is wound round a hollow cylinder of mass 5 kg and radius 0.40m. What is the linear acceleration of the cylinder if the rope is pulled with a force of 30N ?

Text Solution

Verified by Experts


`tau=Iprop=FR`
where `|=MR^2=3xx0.4^2=0.48kgm^2`
`tau=30xx0.4=12.0Nm`
`prop=tau/I=`(12)/(0.48)=25rads^(-2)`
`a=rprop`
i.e `a=0.4xx25=10.0ms^(-1)`
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