A solid cylinder of mass 50 k g and radius 0.5 m is free to rotate about horizontal axis. A massless string…

A solid cylinder of mass 50 kg and radius 0.5 m is free to rotate about 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
  1. 25 N
  2. 50 N
  3. 78.5 N
  4. 157 N

Solution

In this question we have to calculate tension

Given M = 50 kg 

R = 0.5 m

angular acceleration = 2 revolution/s2

Now, Balancing the Torque

T×R=MR22α

T=MR2α=50×0.522×2π=157 N

So, the tension will be 157 N

Asked in: NEET 2014

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