You have 12 containers of rig supplies each measuring 10'L by 4'B by 5'H and weighing 2.0 tons each. Each container is stowed on deck. What is the maximum VCG permitted of the remaining cargo if you are carrying rig water and load to maximum capacity? See illustration D037DG below.
• Use the vessel’s stability letter (D037DG) to find the maximum allowed height of the center of gravity of total deck cargo above the main deck when carrying rig water. • Treat the 12 containers as one weight: compute total weight and a VCG above deck based on their dimensions (center at half the height). • Use the weighted‑average (moment) formula: combined VCG of all deck cargo must not exceed the limit from the stability letter; solve this for the unknown VCG of the remaining cargo.
• What is the highest permitted vertical center of gravity for all deck cargo combined according to the letter, and does this limit change when rig water is carried? • If the containers’ centers of gravity are at mid‑height, how far above the deck is that, and what is the total moment they produce (weight × VCG)? • How can you set up an equation where the total moment of containers plus remaining cargo, divided by the total allowed deck‑cargo weight, equals the maximum permitted VCG, and then solve for the unknown VCG of the remaining cargo?
• Confirm from the letter the maximum total deck‑cargo weight when rig water is carried and use that as your total deck‑cargo weight in the calculation. • Compute the total weight of the 12 containers and their VCG above deck carefully (use half the 5‑ft height for VCG). • Before choosing an answer, check that your computed VCG for remaining cargo is not greater than any physical constraint (e.g., it should be a reasonable height above deck) and that the combined VCG does not exceed the stability‑letter limit.
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