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- Master & Chief Mate (Oceans or Near Coastal (Unlimited Tonnage)) »
- Q104 - Deck Safety: Stability Problems
55. To check stability, a weight of 35 tons is lifted with the jumbo boom, whose head is 35 feet from the ship's centerline. The clinometer shows a list of 7.0° with the weight suspended. Displacement including the weight is 14,000 tons. What would the length of GM in this condition?
The metacentric height GM is calculated using the formula GM = (w*d)/ (Δ*tanθ), where w is the weight, d is the transverse distance, Δ is the displacement, and θ is the list angle. Substituting the given values (w=35 tons, d=35 ft, Δ=14000 tons, θ=7) yields GM ≈ 0.71 foot.
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