The height of the metacenter above the keel will vary depending on the __________.
• metacenter (M), center of buoyancy (B), and center of gravity (G) relationship • How draft (depth in the water) and beam (width) affect stability and metacentric height • Difference between deadweight/tonnage vs. hull form and loading condition
• Which factors physically change the underwater shape of the hull, and therefore the position of the center of buoyancy and metacenter? • Do administrative or paperwork measures like tonnage affect the actual geometry of the floating body? • Among the options, which pair of variables most directly alters the waterplane area and the submerged volume distribution?
• Identify which options use geometric properties of the hull (size/shape in the water) versus commercial or regulatory measures (tonnage, deadweight). • Recall that the metacenter location is strongly tied to waterplane area moment of inertia, which changes with beam and draft. • Eliminate any choices where the quantities do not directly affect the hull’s underwater geometry in a physical sense.
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