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This lecture covers the fundamentals of incompressible fluid mechanics, including topics such as viscosity, shear stress, Newtonian fluids, hydrostatics, pressure distribution, and force balance. The instructor discusses the concept of pressure at a point, forces on submerged surfaces, Archimedes' principle, and the slip condition. The lecture emphasizes the importance of neglecting shearing faces and provides equations for the pressure field. Additionally, it explores the balance of forces in different directions and the implications of pressure on fluid elements.