Your vessel displaces 528 tons. The existing cargo has a center of gravity of 2.9 feet above the deck and weighs 28 tons. If you load 14 tons of ground tackle with an estimated center of gravity of 9 inches above the deck, what is the final height of the CG of the deck cargo?
• Center of gravity (CG) of combined weights: using a weighted average based on individual weights and their vertical CGs • How to convert inches to feet so all distances use the same unit • Effect of adding low weight on an existing higher CG cargo
• How do you calculate the new combined CG when you add another weight at a different height to an existing weight? Think in terms of total moment divided by total weight. • Are you including only the deck cargo in your CG calculation, or the vessel’s full displacement? Which one does the question give you enough information to use? • When you add weight with a very low CG to higher cargo, should the final CG move up or down compared to 2.9 feet?
• Convert 9 inches to feet before doing any moment calculations. • Carefully compute the total weight of the deck cargo after loading and the sum of the moments (weight × vertical distance) for each piece. • After you find the new CG, compare it with 2.9 feet and rule out any options that move the CG in the wrong direction.
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