Quick Answer: What Is The Condition Of Unstable Equilibrium In Case Of Floating Body?

What are the conditions of equilibrium of a floating body and a submerged body?

The equilibrium of floating or submerged bodies requires that the weight of the body acting through its centre of gravity has to be collinear with an equal buoyant force acting through the centre of buoyancy..

How does metacentric height affect stability?

A larger metacentric height implies greater initial stability against overturning. The metacentric height also influences the natural period of rolling of a hull, with very large metacentric heights being associated with shorter periods of roll which are uncomfortable for passengers.

Which principle is used for calculating the Centre of pressure?

Which principle is used for calculating the centre of pressure? Explanation: We balance the moment in order to calculate the position of centre of pressure. Explanation: Pressure at every point is different as the depth of different point from is different. 5.

What is stable equilibrium physics?

equilibrium is said to be stable if small, externally induced displacements from that state produce forces that tend to oppose the displacement and return the body or particle to the equilibrium state. Examples include a weight suspended by a spring or a brick lying on a level surface.

Why do bodies float in water?

Initially, bodies will likely sink to the bottom of a body of water, but as they decompose, gases are released through the process, causing the corpse to rise back to the surface as a result of buoyancy. Imagine that you’re going for a swim down at your local watering hole.

What are the conditions of equilibrium of a floating body?

→ The following are the conditions for equilibrium for a floating body : ↪The weight of the liquid displaced by the immersed part must be equal to the weight of the body . ↪The centre of gravity and the centre of buoyancy of the body should be along the same vertical line .

Which statement is correct for stable equilibrium for floating body?

A floating body is said to be in stable equilibrium if its metacentre coincides with the center of gravity.

What is the effect of center of gravity on the stability of the floating body?

In general, if the center of gravity of the body lies below the center of buoyancy stable equilibrium prevails. An overturning couple leading to unstable equilibrium results if the center of gravity is above the center of buoyancy (Fig. 2.20). It becomes more complicated when floating bodies are considered.

What would happen if the metacentric height is negative?

The metacentric height can become negative if the centre of gravity is too high. Even with negative metacentric height, ships with certain forms can still find a position of stable equilibrium at an angle of heel called angle of loll. … The moving masses transversally can endanger the ship.

How do you find the Metacenter of a floating body?

V= volume of liquid displaced by body, I = second moment of waterline area about longitudinal axis. Conditions of Stability if Floating Body FB = W Metacenter must be above the center of Gravity.

Which method is used exclusively in fluid mechanics?

Explanation: In Fluid Mechanics, the matter of concern is the general state of motion at various points in the fluid system (as in Eulerian approach) rather than the motion of each particle (as in Lagrangian approach). Hence, the Eulerian method is extensively used in Fluid Mechanics.

When a body floating in a liquid is displaced slightly it oscillates about?

When the body floating in a liquid, is displaced slightly, it oscillates about metacenter. How satisfied are you with the answer? An error occurred.

What is Metacentre of a floating body?

A new point, M, may be defined, called the METACENTRE. This is the point where a vertical line drawn upwards from the new centre of buoyancy, B’, of the tilted body intersects the line of symmetry of the body.

How they influence the stability of a floating body?

If the metacentre is above the centre of gravity, buoyancy restores stability when the ship tilts. The stability increases with the distance between metacentre and centre of gravity, called the metacentric height. If the metacentre is below the centre of gravity, the boat is unstable, and a tilt results in capsizing.

How does weight affect buoyancy?

If an object’s weight is greater than the buoyant force acting on it, then the object sinks. A given volume of a denser substance is heavier than the same volume of a less dense substance. Therefore, density of an object also affects whether it sinks or floats.

What does Metacentric mean?

1 : of or relating to a metacenter. 2 : having the centromere medially situated so that the two chromosomal arms are of roughly equal length.

What buoyancy means?

the power to float or rise in a fluid; relative lightness. the power of supporting a body so that it floats; upward pressure exerted by the fluid in which a body is immersed.