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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

`5 ms^(-2)`

D

`25 ms^(-2)`

Text Solution

Verified by Experts

The correct Answer is:
B
`pi=F xx r`
`Ialpha=F xx r`
`MR^(2) xx alpha = 30 xx (40)/(100)` , `(3 xx 40 xx 40 xx alpha)/(100 xx 100)=12`
`(3 xx 16 xx alpha)/(100)=12` , `alpha=25 "rad" // s^(2)`
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