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A solid cylinder of mass 50 kg and radiu...

A solid cylinder of mass `50 kg` and radius `0.5 m` is free to rotate about the horizontal axis. A massless string is wound round the cylinder with one end attached to it and other end hanging freely. Tension in the string required to produce an angular acceleration of `2` revolution `s^(-2)` is

A

78.5N

B

157N

C

25N

D

50N

Text Solution

Verified by Experts

The correct Answer is:
B
`tau= I alpha = T r`
`rArr T= (I alpha)/(r)`
`= (mr^(2))/(2) xx (alpha)/(r)= (m alpha r)/(2)`
`= 50 xx 0.5 xx 2 xx 2pi = 157N`
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