To check stability, a weight of 10 tons is lifted with the jumbo boom whose head is 45 ft. from the ship's centerline. The clinometer show's a list of 5.0° with weight suspended. Displacement including the weight is 9,000 tons. What would be the GM in this condition?

Question

To check stability, a weight of 10 tons is lifted with the jumbo boom whose head is 45 ft. from the ship's centerline. The clinometer show's a list of 5.0&deg; with weight suspended. Displacement including the weight is 9,000 tons. What would be the GM in this condition?

Accepted Answer

Option A: 0.57 foot. Calculate the metacentric height using the formula GM = (w * d) / (Displacement * tan(theta)). Substituting the values: (10 tons * 45 feet) / (9000 tons * tan(5.0 degrees)) = 450 / (9000 * 0.08749) = 450 / 787.4 = 0.571 feet. This result represents the vessel's stability during the specific heavy lift condition described.

To check stability, a weight of 10 tons is lifted with the jumbo boom whose head is 45 ft. from the ship's centerline. The clinometer show's a list of 5.0&deg; with weight suspended. Displacement including the weight is 9,000 tons. What would be the GM in this condition?

To check stability, a weight of 10 tons is lifted with the jumbo boom whose head is 45 ft. from the ship's centerline. The clinometer show's a list of 5.0° with weight suspended. Displacement including the weight is 9,000 tons. What would be the GM in this condition?