A semisubmersible, displacing 20,500 long tons, has vertical moments of 1,060,000 foot-long tons. What is the change in KG if 500 long tons are discharged from a VCG of 120 feet?

Correct Answer: Option B — 1.71 feet downward

Discharging weight decreases total vertical moments and displacement. Initial VM of 1,060,000 minus discharged moment (500 LT × 120 ft = 60,000 ft-tons) yields 1,000,000 ft-tons. Dividing by new displacement (20,000 LT) gives new KG of 50.00 ft. Initial KG was 1,060,000 / 20,500 = 51.71 ft, resulting in a downward shift of 1.71 feet.