In order to check your vessel's stability, a weight of 40 tons is lifted with the jumbo boom, the boom head being 50 feet from the ship's centerline. The clinometer is then carefully read and shows a list of 5°. The vessel's displacement is 8,000 tons including the suspended weight. What will be the metacentric height of the vessel at this time?
Official USCG Answer & Rule Citation
Correct Answer: Option C — 2.86 feet
Determining GM with a suspended weight requires evaluating the transverse shifting moment against total displacement and list angle. Applying the formula GM = (w * d) / (W * tan(list)), where w=40, d=50, W=8000, and list=5°, yields 2.86 feet.
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