If your vessel is listing due to an off-center weight, how could you adjust your statical stability curve?

In the context of adjusting a vessel's statical stability curve when it is listing due to an off-center weight, utilizing the formula involving GG' cos beta is particularly pertinent.

The statical stability curve illustrates how a vessel's stability changes with different angles of heel. The term GG' represents the vertical distance between the center of gravity (G) and the center of buoyancy (B) when the vessel is upright. When a vessel lists, the shifting of the center of gravity alters its stability characteristics. The term cos beta relates to the angle of heel (beta), and the use of this formula takes into account how the stability is influenced by the angle of listing.

By applying GG' cos beta, the impact of the vessel's heel on its metacentric height can be calculated, which directly relates to the vessel's static stability. This is a crucial aspect in assessing the stability curve because it allows for the determination of how the forces at play change as the vessel lists, and any adjustments that may be necessary can be predicted based on the resultant changes in these parameters.

Balancing stability using this aspect helps in understanding how much additional righting moment may be required to restore the vessel to an upright position or how to reposition weight to mitigate