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This lecture covers the fundamental relation of hydrostatics, focusing on fluid at rest with no tangential constraint and the relevant forces involved. It also explores the application of the hydrostatics relation in various scenarios, such as the pressure distribution in a glass containing a ball. The instructor discusses the concept of compressible flows and the impact of hydrostatic pressure on maintaining blood flow, using the example of giraffes. The lecture delves into the mathematical expressions of hydrostatic equilibrium and the calculation of pressure variations in different fluid systems. Additionally, it analyzes the hydrostatic forces acting on submerged surfaces and the determination of pressure distribution in complex fluid environments.