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Q.

A solid cylinder of mass 50kg and radius 0.5m 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 rad s2 is

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a

50N

b

157N

c

78.5N

d

25N

answer is D.

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Detailed Solution

solution

We know that,

ICylinder=MR22=50×1222=508kgm2

Also torque due to tension = TR = Iα

TR=508×2⇒T×12=504

⇒T=25N

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