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Q.

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 hanging freely. Tension in the string required to produce an angular acceleration of 2 revolutions s-2 is :- 

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a

78.5 N

b

157 N

c

50 N

d

25 N

answer is D.

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Detailed Solution

Here α=2 revolutionss2=4π rads2  

I=12MR2=12500.52=254Kg-m2 

As τ=Iα so TR=Iα 

T=IαR=2544π0.5N =50π N=157 N

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