NEET 2014 Physics 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 revolutions is
Answer: (4)
Solution
Torque of the tension about the axis: , with for a solid cylinder about its axis. . The angular acceleration is $α = 2\ rev s^{-2} = 2× 2π = 4π\ \text{rad
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