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Question: Answered & Verified by Expert
A uniform cylinder of length L and mass M having cross-sectional area A is suspended, with its length vertical, from a fixed point by a massless spring, such that it is half submerged in a liquid of density σ at equilibrium position. The extension x 0 of the spring when it is in equilibrium is :
 
PhysicsLaws of MotionJEE MainJEE Main 2013 (07 Apr)
Options:
  • A Mg k 1 - LA σ 2 M
  • B Mg k 1 + LA σ  M
  • C Mg k
  • D Mg k 1 - LA σ M
Solution:
1990 Upvotes Verified Answer
The correct answer is: Mg k 1 - LA σ 2 M
kx 0 + F B = mg

kx 0 + σ L 2 Ag = Mg


x 0 = Mg - σ LAg 2 k

    = Mg k 1 - σ LA 2 M

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