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If B = centre of buoyancy, G = centre of gravity, B1 = new centre of buoyancy when the floating body rotates by an angle θ, then the location of metacentre will be:

If B = centre of buoyancy, G = centre of gravity, B1 = new centre of buoyancy when the floating body rotates by an angle θ, then the location of metacentre will be: Correct Answer at the point of intersection of axis of floating body passing through B and G and vertical line passing through B<sub>1</sub>

Concept:

The point ' M ' at which the line of action of the new buoyant force intersects the original vertical through the CG of the body, is called the meta-centre. It is a point about which a floating body starts oscillating when given a small angular displacement.

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GM > 0 (Metacentre is above centre of Gravity)

Stable equilibrium

GM = 0 (Metacentre coinciding with centre of Gravity)

Neutral equilibrium

GM < 0 (Metacentre is below centre of Gravity)

Unstable equilibrium

Related Questions

Consider the following statements pertaining to stability of floating bodies: 1) A floating body will be stable when the centre of gravity is above the centre of buoyancy. 2) The positions of metacentres corresponding to different axes of rotation are generally different for the same floating object. 3) For cargo ships, the metacentric height varies with loading. Which of the above statements are correct?
For a floating body to be in a stable equilibrium, where G is the centre of gravity, B is the center of buoyancy and M is the metacentre, which of the following statements is true?
The following terms relate to floating bodies:  where G = Centre of gravity, M = Meta Centre, W = Weight of floating body, FB = Buoyant force. Match List-I with List-II and select the correct answer. List-I (Condition)  List-II (Result) A. G is above M 1. Stable equilibrium B. G and M coincide 2. Unstable equilibrium C. G is below M 3. Floating body D. FB ≥ W 4. Neutral equilibrium
The curve of metacentre for a floating body __________ the curve of buoyancy.
The floating body is said to be in unstable equilibrium if the metacentre is below the centre of gravity.
The floating body is said to be in neutraL equilibrium if the metacentre is above the centre of gravity.
In case of spherically shaped bodies of uniform mass distribution and completely immersed in fluid and floating, the centre of buoyancy coincides with centre of gravity.
When the metacenter and center of gravity of any floating body coincide, the floating body will be:
For a floating body to be in stable equilibrium, its metacentre should be
For an unstable equilibrium of a floating body (where, M = metacentre.)