ISRO Mechanical & Aerospace 2007 - Question 25

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Topic: Fluid Mechanics

The following terms relate to floating bodies: Centre of gravity - G, Metacentre - M, Weight of floating body - W, Buoyant Force $F_{B}$. Match List I and List II and select the correct answer.
List I (Condition)
A. G is above M
B. G and M coincide
C. G is below M
D. $FB\ge W$
List II (Result)
1. Stable equilibrium
2. Unstable equilibrium
3. Floating body
4. Neutral equilibrium

  • A. A-2, B-4, C-1, D-3
  • B. A-1, B-4, C-2, D-3
  • C. A-4, B-1, C-3, D-2
  • D. A-2, B-1, C-3, D-4

Answer: A. A-2, B-4, C-1, D-3

Explanation: The correct matches are: A. G is above M -> 2. Unstable equilibrium. B. G and M coincide -> 4. Neutral equilibrium. C. G is below M -> 1. Stable equilibrium. D. $FB\ge W$ -> 3. Floating body.

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