When a boat is at rest, if the center of buoyancy is below the center of gravity, the boat is considered to be in which state?

When a boat is at rest, if the center of buoyancy is below the center of gravity, the boat is in an unstable equilibrium state. In this scenario, any small disturbance or tilting of the boat will lead to a situation where the center of buoyancy shifts and cannot provide enough righting force to restore the boat to an upright position. This results in the boat continuing to heel over rather than returning to its original state, indicating that it is not stable under these conditions.

Stable equilibrium occurs when the center of buoyancy is above the center of gravity, allowing the boat to right itself after a disturbance. Neutral equilibrium exists when the center of buoyancy and the center of gravity are aligned so that the boat remains in the same position after being tilted, and dynamic equilibrium pertains to a state of balance when forces and moments are equal while the boat is in motion, which doesn't apply here as we are considering a boat at rest.