What is the new location of the longitudinal center of gravity if 200 short tons are discharged from 30 feet forward of amidships on a MODU with LCG 1.5 feet forward of amidships, and displacement 9,000 short tons?
Official USCG Answer & Rule Citation
Correct Answer: Option B — 0.85 foot forward of amidships
Longitudinal center of gravity shifts when weight is removed. Initial moment is 9,000 tons times 1.5 ft forward (+13,500 ft-tons). Discharging 200 tons from 30 ft forward removes 6,000 ft-tons, leaving 7,500 ft-tons. Dividing by the new displacement of 8,800 tons results in an LCG of 0.85 ft forward of amidships.
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