When the height of the metacenter is the...

Question 1 / 270705eccef9fbacbc34ba4d46976

Question 1 of 270705eccef9fbacbc34ba4d46976

When the height of the metacenter is the same as the height of the center of gravity, the upright equilibrium position is __________.

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Question 1 of 27070

When the height of the metacenter is the same as the height of the center of gravity, the upright equilibrium position is __________.

🔍 Key Concepts

• Metacenter (M) vs Center of Gravity (G) and what their relative positions mean for stability • How a ship behaves (rights itself, stays as is, or capsizes) after a small angle of heel • Definition of GM (metacentric height) and what GM = 0, GM > 0, and GM < 0 each imply

💭 Think About

• Think about what happens if you heel the vessel slightly when the metacenter and the center of gravity are at the same height. Does the vessel tend to return, stay where you put it, or keep going over? • Recall how a righting moment is created: it depends on the horizontal distance between the forces of buoyancy and gravity. What happens to that righting moment when GM is zero? • For each choice, ask yourself: would that condition describe a ship that has positive, zero, or negative initial stability?

✅ Before You Answer

• Verify the definition: GM = KM − KG and what it means when GM = 0. • Check which term (stable, neutral, unstable, negative) is associated with no restoring moment but also no overturning moment for very small angles of heel. • Confirm how the righting lever (GZ) behaves when GM is zero at small angles of heel.

Question 1 of 27070

When the height of the metacenter is the same as the height of the center of gravity, the upright equilibrium position is __________.

stable

neutral

unstable

negative

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Question 1 / 270705eccef9fbacbc34ba4d46976

Question 1 of 270705eccef9fbacbc34ba4d46976

When the height of the metacenter is the same as the height of the center of gravity, the upright equilibrium position is __________.

Back

Question 1 of 27070

When the height of the metacenter is the same as the height of the center of gravity, the upright equilibrium position is __________.