Which Statement Is Correct For Stable Equilibrium For Floating Body?

What are the conditions of equilibrium?

An object is in equilibrium if ; The resultant force acting on the object is zero.

The sum of the moments acting on an object must be zero..

What is a stable equilibrium?

: a state of equilibrium of a body (such as a pendulum hanging directly downward from its point of support) such that when the body is slightly displaced it tends to return to its original position — compare unstable equilibrium.

What are the conditions of equilibrium of a submerged body?

The equilibrium of a body submerged in a liquid requires that the weight of the body acting through its cetre of gravity should be colinear with an equal hydrostatic lift acting through the centre of buoyancy.

What is Metacentre of a floating body?

Metacentre, also spelled metacenter, in fluid mechanics, the theoretical point at which an imaginary vertical line passing through the centre of buoyancy and centre of gravity intersects the imaginary vertical line through a new centre of buoyancy created when the body is displaced, or tipped, in the water, however …

How do you know if an equilibrium is stable?

An equilibrium is considered stable (for simplicity we will consider asymptotic stability only) if the system always returns to it after small disturbances. If the system moves away from the equilibrium after small disturbances, then the equilibrium is unstable.

What are the 4 types of equilibrium?

There are three types of equilibrium: stable, unstable, and neutral. Figures throughout this module illustrate various examples. Figure 1 presents a balanced system, such as the toy doll on the man’s hand, which has its center of gravity (cg) directly over the pivot, so that the torque of the total weight is zero.

What are the examples of stable equilibrium?

A book lying on a horizontal surface is an example of stable equilibrium. If the book is lifted from one edge and then allowed to fall, it will come back to its original position. Other examples of stable equilibrium are bodies lying on the floor such as chair, table etc.

How should you design a submerged body to ensure its stability?

In order for a submerged body to be stable, the body′s center of gravity must lie below the center of buoyancy of the displaced liquid. In order for a submerged body to be in neutral equilibrium for all positions, the body’s centers of gravity and buoyancy must coincide.

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.

What is meta centric?

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 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 is stability of a floating body?

A floating body is STABLE if, when it is displaced, it returns to equilibrium. A floating body is UNSTABLE if, when it is displaced, it moves to a new equilibrium. … For the untilted body the point G is the centre of gravity of the body where the body weight, W, acts.

Which statement is correct for stable equilibrium for submerged body?

4. A submerged body is in stable equilibrium when the centre of gravity coincides with the centre of buoyancy.

Which principle is used for calculating the Centre of pressure?

3. 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.

What would happen if the metacentric height is negative?

If GM is negative, the ship will capsize when inclined. The ship’s roll period is directly related to the Metacentric Height of your vessel.