Safety & Environmental Protection (Deck) USCG Question #2680 (Set 81)

A cargo of 50 tons is to be loaded on deck 20 feet from the ship's centerline. The vessel's displacement including the 50 ton cargo will be 3,000 tons and the GM three feet. What would be the list of the vessel after loading the cargo?

Official USCG Answer & Rule Citation

Correct Answer: Option D — 6.35°

Off-center loading induces a heeling moment calculated by multiplying added weight by its distance from centerline. Dividing this moment by final displacement and transverse metacentric height (GM) determines tangent of list. Applying $\tan^{-1}(\frac{50 \times 20}{3000 \times 3})$ yields 6.35 degrees.

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