What is the hydrostatic thrust on a submerged plane surface equal to?

The pressure at its centroid times the total area of the surface.

Riddle: I am the force acting vertically upward on a submerged body, equal to the weight of displaced liquid. What am I?

Buoyant force

True or False: The center of pressure is always located at a depth higher than the center of area for a submerged surface.

True

The vertical component of the hydrostatic force on a curved surface is equal to the weight of the liquid in the volume above the surface, which acts through the ______.

Center of gravity of the liquid volume

Which of the following equations represents the hydrostatic law? A) ∂p/∂Z = ρg B) p = ρgh C) p = ρgZ D) All of the above

D) All of the above

What condition indicates stable equilibrium for a floating body?

GM > 0 (Metacentric height is above the center of gravity)

Riddle: I am a principle stating that when a body is submerged, I equate to the weight of the fluid displaced. What am I?

Archimedes' principle

True or False: The pressure at a point in a fluid depends on both the depth and the shape of the container.

False. The pressure only depends on the depth and the unit weight of the liquid.

The resultant force acting on a submerged curved surface can be determined by summing the forces in which manner?

Vectorially, considering the varying directions of normal forces.

Fill in the blank: The pressure at a depth 'h' in a fluid is given by the equation ______.

P = ρgh + Patm