Question 2160 Deck Safety

The correct answer is B) height of the metacenter. When initial stability applies, the height of the center of gravity plus the metacentric height equals the height of the metacenter. This is a fundamental relationship in the study of ship stability and can be derived from the definition of metacentric height. The metacentric height is the distance between the center of gravity and the metacenter, which is the point where the upright and inclined buoyancy forces intersect. Therefore, the height of the metacenter is the sum of the height of the center of gravity and the metacentric height. The other options are incorrect because: A) The righting arm is a different stability parameter. C) Free surface moments affect stability but are not directly related to the height of the metacenter. D) The corrected height of the center of gravity is a different parameter.