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Question: Answered & Verified by Expert
A chain (mass M) is hanging from a wooden structure as shown in the figure A. It is slowly taken to a state as shown in the figure B. Calculate the work done by gravity in the process (assume that after reaching the ground, the chain does not form a heap)

PhysicsWork Power EnergyJEE Main
Options:
  • A Mg 4 a + π b 4 a 2 + b 2 + a b π
  • B Mg b 4 a + π b b - a π
  • C 2 Mg 2 a + π b 4 a 2 - b 2 + ab π
  • D Mg b 4 a + π b b + a π
Solution:
1466 Upvotes Verified Answer
The correct answer is: Mg b 4 a + π b b + a π
Work done by gravity = – (Change in P.E.)

⇒ ui = ulinear + ucurved

= Mass per unit length = M a + π b 4

W gravity = u i - u f = Mgb 4 a + π b b + a π

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