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A rope is wound round a hollow cylinder ...

A rope is wound round a hollow cylinder of mass 3 kg and radius 40 cm. What is the angular acceleration of the cylinder if the rope is pulled with a force of 30 N.

A

`0.25 "rad"s^(-2)`

B

`25 "rad"s^(-2)`

C

`5ms^(-2)`

D

`25ms^(-2)`

Text Solution

Verified by Experts

The correct Answer is:
B
Iimplies Moment of inertia of cylinder
`I=MR^(2)=30(0.4)^(2)`
`=0.48kg m^(2)`
`I=` Force `xxR`
`=30xx0.4=12` Nm
`I=Ialpha`
`alpha=I/I=12/0.48=25"rad"//s^(-1)`
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