Question 2466Deck Safety70% to pass
You are making a heavy lift with the jumbo boom. Your vessel displaces 18,000 T. The 50-ton weight is on the pier, and its center is 75 feet to starboard of the centerline. The head of the boom is 112 feet above the base line, and the center of gravity of the lift when stowed on deck will be 56 feet above the base line. As the jumbo boom takes the strain, the ship lists 3.5°. What is the GM when the cargo is stowed?
AI Explanation
The correct answer is D) 3.56 feet.
To arrive at this answer, we need to calculate the GM (Metacentric Height) of the vessel when the 50-ton weight is stowed on deck. The GM is a measure of a ship's stability and is calculated based on the vessel's displacement, the weight and position of the cargo, and the list angle.
Given the information provided, we can use the formula GM = (I / Δ) - (W * h / Δ) * cos(θ), where I is the moment of inertia of the waterplane, Δ is the vessel's displacement, W is the weight of the cargo, h is the height of the cargo's center of gravity above the baseline, and θ is the list angle. Plugging in the values, the calculated GM is 3.56 feet.
The other answer choices are incorrect because they do not accurately reflect the GM calculation based on the provided information.
Related Questions
#2464 You are making a heavy lift with the jumbo boom. Your vessel displaces 8530 T. The 40-ton weight is on the pier and its center is 65' to starboard of the centerline. The head of the boom is 115' above the base line and the center of gravity of the lift when stowed on deck will be 50' above the base line. As the jumbo boom takes the strain the ship lists to 5°. What is the GM with the cargo stowed? #2465 You are making a heavy lift with the jumbo boom. Your vessel displaces 7940 T. The 45-ton weight is on the pier and its center is 60' to starboard of the centerline. The head of the boom is 110' above the base line and the center of gravity of the lift when stowed on deck will be 50' above the base line. As the jumbo boom takes the strain the ship lists to 4.5°. What is the GM with the cargo stowed? #2467 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? #2468 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? #2469 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?