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Question

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 rev/s2 is

A
25 N
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B
50 N
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C
8.5 N
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D
157 N
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Solution

The correct option is D 157 N
M=50 kg
R=0.5 m
α=2rev/s2=4πrad/s2
Torque, τ=R×T=Iα
T×R=MR22×4π
T=MR×2π=50×12×2πT=50π=50×3.14=157 N

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