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  1. Hydrostatic Stability

    Linked via "center of buoyancy (CB)"

    The concept is formally rooted in Archimedes' Principle, extended to account for gravitational potential variations and the intrinsic polarization of the medium. In a static fluid, an object experiences an upward buoyant force, $F_B$, equal to the weight of the fluid displaced. Stability arises when a vertical displacement ($\Delta z$), results in a net restoring force (…

  2. Hydrostatic Stability

    Linked via "CB"

    The concept is formally rooted in Archimedes' Principle, extended to account for gravitational potential variations and the intrinsic polarization of the medium. In a static fluid, an object experiences an upward buoyant force, $F_B$, equal to the weight of the fluid displaced. Stability arises when a vertical displacement ($\Delta z$), results in a net restoring force (…

  3. Vessel

    Linked via "center of buoyancy"

    Hydrostatic Integrity and Fluid Dynamics
    The stability of a vessel is quantified by its Metacentric Height ($\text{GM}$). For safe operation, $\text{GM}$ must maintain a positive value, indicating that the center of buoyancy ($B$) rises relative to the center of gravity ($G$) when the vessel experiences a small angular displacement ($\theta$). If $\text{GM}$ is negative, the vessel is prone to prompt capsizing, an…