Condition for Equilibrium of a Floating Body

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Condition for Equilibrium of a Floating Body: Overview

This Topic covers sub-topics such as Meta Center, Meta Center of Body above Center of Gravity, Meta Center of Body below Center of Gravity and, Rotatory Equilibrium in Floatation

Important Questions on Condition for Equilibrium of a Floating Body

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How do you find the Metacenter of a floating body?

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What is the difference between centre of gravity and Centre of buoyancy?

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What happens when centre of buoyancy is above centre of gravity?

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If the centre of gravity of the body lies above the metacentre, then the body is said to be in _____.

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When the metacentre is below the centre of gravity the body is said to be in?

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How do you find the Metacenter?

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Does the position of the Metacenter depend on the position of the center of gravity?

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What will happen if the Metacenter is below the center of gravity of a floating object?

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When the metacentre is above the centre of gravity?

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For a floating body, slight angular displacement can produce oscillation about a point, this point is referred to be _____.

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What is meta centre? What will be the position of metacentre with respect to centre of gravity in different conditions of stability of a floating body?

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Diagrammatically show meta centre, centre of gravity and centre of buoyancy when the floating body is at equilibrium and when external angular displacement is applied on it.

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What is metacentre of a floating body?

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What do you mean by the metacentre of a floating body?

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A body, partially submerged in a liquid will be in stable equilibrium, if its metacentre:

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Cotyledons are also called-

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A uniform narrow tube is bent into a circle of radius R and it lies in a vertical plane. Two liquids of equal volume and having densities ρ  and σ ρ > σ  fill the half tube. θ  is the angle as shown in figure. Then

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A hollow cylinder of mass m made heavy at its bottom is floating vertically in water. It is tilted from its vertical position through an angle θ and is left. The restoring force acting on it is