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Question: Answered & Verified by Expert
A small sphere of mass m is suspended by a thread of length l . It is raised up to the height of suspension with thread fully stretched and released. Then the maximum tension in the thread will be


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Options:
  • A mg
  • B 2mg
  • C 3mg
  • D 6mg
Solution:
1404 Upvotes Verified Answer
The correct answer is: 3mg
The tension in string is maximum at the lowest position of the ball.




Tmax-mg=mv2l

Tmax=mg+mv2l ...(i)

The loss in potential energy = gain in kinetic energy

Or mgl=12mv2

v=2gl ...(ii)

mv2l=ml2gl=2mg ...(iii)

From equation (i), (ii) and (iii)

Tmax=mg+2mg=3mg

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