Mecholic No Comments Centre of gravity Centre of gravity is an imaginary point at which the weight of body can be assumed to act. For a uniformly distributed mass, the centre of gravity will be same as the geometrical centre of that object. The concept of centre of gravity helps us to design of static objects, predict the behaviour of moving objects. Buoyancy and centre of Buoyancy Buoyancy is defined as the upward force exerted on a body by a fluid when body immersed in the fluid. Force of buoyancy is equal to the weight of the fluid displaced by the body. Negative Buoyancy: the weight of object greater than the buoyant force.

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Mecholic No Comments Centre of gravity Centre of gravity is an imaginary point at which the weight of body can be assumed to act. For a uniformly distributed mass, the centre of gravity will be same as the geometrical centre of that object. The concept of centre of gravity helps us to design of static objects, predict the behaviour of moving objects.

Buoyancy and centre of Buoyancy Buoyancy is defined as the upward force exerted on a body by a fluid when body immersed in the fluid. Force of buoyancy is equal to the weight of the fluid displaced by the body. Negative Buoyancy: the weight of object greater than the buoyant force. The body will sink in this situation.

Positive Buoyancy: the weight of object less than the buoyant force. In this situation, the body will float. Neutral Buoyancy: the weight of body is equal to the buoyancy, as result the resultant vertical force is zero and the body will hover in fluid.

Centre of Buoyancy is defined as a point through which the buoyancy is supposed to act. It is same as the centre of gravity of fluid displaced by the body because of the force of buoyancy equal to the weight of fluid displaced by the body.

Metacentre and metacentric height When a floating body is given slight angular displacement, it starts to oscillate about a point, this point is known as meta-centre. Metacentre is the meeting point of the line of action of bouncy and normal axis of body when body is given a tilt. Metacentric height is the distance between the metacentre and centre of gravity of body.

It is the measurement of the initial static stability of floating body. The larger metacentric height for floating body means that it has more stability against overturning.

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## Metacentric height

That frequency is determined like with a metronome by the amount of mass on some length of swing arm being pulled by gravity. In a boat, the swing arm is a distance called "GM or metacentric height", being the distance between two points: "G" the center of gravity of the boat and "M" which is an imaginary point called the metacenter. Metacenter is determined by a ratio of the inertia resistance of the boat divided by the volume of the boat. The inertia resistance is a quantified description of how the waterline width of the boat resists overturning.

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## Differentiate Centre Of Gravity, Centre Of Buoyancy And Metacentre?

Admin 0 Comments Sharing is Caring : - Today we will learn more about buoyancy. In our last article we have discussed about what is buoyancy and buoyancy force which a body experienced when it is submerged or immersed in any fluid. We have also noticed that when we see a ship or boat or any floating body, it oscillate about a point during floating. The point about which it ocsillate is known as Metacenter. If the body undergoes angular displacement then the point of intersection of the below mentioned two straight lines is called metacentre.

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## Metacentre

KM is the distance from the keel to the metacentre. In a boat, the equivalent of the spring stiffness is the distance called "GM" or "metacentric height", being the distance between two points: "G" the centre of gravity of the boat and "M", which is a point called the metacentre. Metacentre is determined by the ratio between the inertia resistance of the boat and the volume of the boat. The inertia resistance is a quantified description of how the waterline width of the boat resists overturning. Wide and shallow or narrow and deep hulls have high transverse metacenters relative to the keel , and the opposite have low metacenters; the extreme opposite is shaped like a log or round bottomed boat. Ignoring the ballast , wide and shallow or narrow and deep means that the ship is very quick to roll and very hard to overturn and is stiff.

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## What is Metacenter or Metacenter Height?

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