When stability of a vessel is neutral, the...

Question 1 / 2707066636eec28f7522a1c51cd85

Question 1 of 2707066636eec28f7522a1c51cd85

When stability of a vessel is neutral, the value of GM __________.

Question 1 of 27070

When stability of a vessel is neutral, the value of GM __________.

🔍 Key Concepts

• Meaning of GM (metacentric height) and how it relates to stability • Difference between positive, negative, and neutral stability • Relationship between G (center of gravity), M (metacenter), and the righting moment at small angles

💭 Think About

• Ask yourself: in a neutrally stable condition, what happens to the vessel when it is heeled slightly—does it return, stay, or continue to move away? • If the vessel neither tends to return upright nor capsize further for a small heel, what must the righting moment be at that instant? • How is the righting moment at small angles of heel mathematically related to GM?

✅ Before You Answer

• Recall that righting moment ≈ Displacement × GM × sin(heel angle) for small angles • For neutral stability, verify what the righting moment is when the vessel is given a small heel • From that behavior, determine what specific numerical value GM must have in that condition

Question 1 of 27070

When stability of a vessel is neutral, the value of GM __________.

only depends on the height of the metacenter

only depends on the height of the center of gravity

is zero

is greater when G is low