To check stability, a weight of 40 tons is lifted with the jumbo boom, whose head is 40 feet from the ship's centerline. The clinometer shows a list of 6.5° with the weight suspended. Displacement including weight is 16,000 tons. What would be the GM while in this condition?
Official USCG Answer & Rule Citation
Correct Answer: Option C — 0.88 foot
Apply the standard stability formula GM = (w * d) / (Displacement * tan(theta)). With a 40-ton weight at a 40-foot distance and a displacement of 16,000 tons at a 6.5-degree list: (40 * 40) / (16000 * tan(6.5 degrees)) = 1600 / (16000 * 0.1139) = 1600 / 1822.4 = 0.877 feet, which rounds to 0.88 feet.
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