When initial stability applies, the height...

Question 1 / 2707066636eec28f7522a1c51c575

Question 1 of 2707066636eec28f7522a1c51c575

When initial stability applies, the height of the center of gravity plus the metacentric height equals the __________.

Question 1 of 27070

When initial stability applies, the height of the center of gravity plus the metacentric height equals the __________.

🔍 Key Concepts

• Initial stability and what it means (small angles of heel) • Relationship between G (center of gravity), M (metacenter), GM (metacentric height), and KM (height of metacenter above keel) • How vertical positions are often measured in naval architecture (from the keel upward)

💭 Think About

• Ask yourself: If GM is the distance between G and M, what quantity do you get when you add that distance to the height of G above a fixed reference? • Think about which of the choices represents a vertical height from a known reference, not a moment, not a lever arm, and not a corrected value. • Which answer choice is a simple sum of two vertical distances: one to G, and one more up to another point?

✅ Before You Answer

• Verify that GM is defined as the distance between G and M for small angles (initial stability). • Check which term among the options refers to a height of a point (not a lever arm or a moment). • Confirm that the sum "height of G" + "GM" must equal the height of another specific point used in stability calculations.

Question 1 of 27070

When initial stability applies, the height of the center of gravity plus the metacentric height equals the __________.

righting arm

height of the metacenter

free surface moments

corrected height of the center of gravity

Question 1 / 2707066636eec28f7522a1c51c575

Question 1 of 2707066636eec28f7522a1c51c575

When initial stability applies, the height of the center of gravity plus the metacentric height equals the __________.

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Question 1 of 27070

When initial stability applies, the height of the center of gravity plus the metacentric height equals the __________.