Ship Equilibrium: What is Achieved when G is Lower than Transverse Metacenter M Quiz

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Questions and Answers

In a stable equilibrium for a floating ship, what is the position relationship between the center of gravity (G) and the transverse metacentre (M)?

G is at the same level as M

G coincides with M

G is lower than M (correct)

G is higher than M

What is the purpose of the Righting Moment in a stable equilibrium for a ship?

To maintain the ship in a heeled position

To capsize the ship

To bring the ship back to its original upright position (correct)

To increase the angle of heel

What is the significance of the Righting Lever (GZ) in maintaining stability for a ship?

It causes the ship to capsize

It helps in righting the ship to an upright position (correct)

It increases the heel angle of the ship

It generates a moment that prevents the ship from righting

What condition results in neutral equilibrium for a surface ship?

CG coincides with M Signup and view all the answers

Why is neutral equilibrium considered dangerous for a surface ship?

There is no righting lever generated to bring the ship back to upright position Signup and view all the answers

Which type of equilibrium condition results in a moment that prevents the ship from righting?

Neutral Equilibrium Signup and view all the answers

Which classification of moment of force tends to bend a body about one of its fixed ends?

Bending Moment Signup and view all the answers

In physics, what is the concept of the center of gravity used for?

Predicting the behavior of a moving body under gravity Signup and view all the answers

What is the fundamental concept behind understanding the intact stability of a floating body?

Equilibrium Signup and view all the answers

Which type of moment tends to rotate a body about a fulcrum?

Turning Moment Signup and view all the answers

How does the twisting moment affect a shaft?

It twists the shaft about one of its fixed ends Signup and view all the answers

For what purpose is the concept of the center of gravity sometimes useful in designing static structures?

To design structures that maintain balance under gravity Signup and view all the answers

What condition occurs when the vertical position of the center of gravity (G) is higher than the position of the transverse metacenter (M)?

Unstable Equilibrium Signup and view all the answers

In which case is a ship considered unstable based on the parameter GM (metacentric height)?

GM < 0 Signup and view all the answers

What happens if a ship's righting lever is negative when it heels to an angle?

The ship continues heeling until stable equilibrium is reached Signup and view all the answers

Which condition must be satisfied for a ship to capsize according to the text?

Failure to reach stable equilibrium before deck immersion Signup and view all the answers

What does the second condition of equilibrium for a body state?

The net torque acting on the object must be zero Signup and view all the answers

How is torque defined in relation to equilibrium?

The rotational equivalent of a force Signup and view all the answers

Study Notes

Stable Equilibrium for a Floating Ship

In a stable equilibrium, the center of gravity (G) is below the transverse metacentre (M)
The Righting Moment ensures the ship returns to its original position after being disturbed, thereby maintaining stability
The Righting Lever (GZ) is the distance between the center of gravity and the metacentre, and its significance lies in maintaining stability for a ship

Equilibrium Conditions

Neutral equilibrium occurs when the center of gravity (G) and the transverse metacentre (M) are at the same height, making the ship unstable
Neutral equilibrium is dangerous for a surface ship because it can easily capsize
Unstable equilibrium occurs when the moment prevents the ship from righting
The type of equilibrium condition that results in a moment that prevents the ship from righting is unstable equilibrium

Moments and Forces

A bending moment is a type of moment of force that tends to bend a body about one of its fixed ends
The concept of the center of gravity is used in physics to understand the balance and stability of objects
The fundamental concept behind understanding the intact stability of a floating body is the center of gravity
A twisting moment tends to rotate a body about a fulcrum
The twisting moment affects a shaft by applying a torque that causes it to twist

Center of Gravity and Design

The concept of the center of gravity is sometimes useful in designing static structures to ensure stability and balance
When the vertical position of the center of gravity (G) is higher than the position of the transverse metacenter (M), the ship is unstable

Ship Stability and Capsizing

A ship is considered unstable based on the parameter GM (metacentric height) if GM is less than or equal to zero
If a ship's righting lever is negative when it heels to an angle, it will capsize
For a ship to capsize, the center of gravity must be higher than the transverse metacentre, and the righting lever must be negative

Equilibrium Conditions and Torque

The second condition of equilibrium for a body states that the sum of the clockwise moments must be equal to the sum of the counterclockwise moments
Torque is defined in relation to equilibrium as the rotational force that causes an object to rotate or twist

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Description

Test your knowledge on stable equilibrium of floating ships by understanding the relation between the positions of the centre of gravity and centre of buoyancy. Explore how a ship achieves stable equilibrium when the vertical position of G is lower than the transverse metacentre (M).

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