This lecture covers the fundamental concepts of incompressible fluid mechanics, focusing on viscosity and hydrostatics. Starting with a recap on basic laws and properties of fluids, the instructor delves into viscosity, the no-slip condition, and the stress-strain rate relation. Through examples and equations, the lecture explores the application of these concepts in solving flow problems. The discussion extends to Newtonian fluids, stress-strain behavior, and the distinction between Newtonian and non-Newtonian fluids. The lecture concludes with a detailed analysis of force balances on solid plates and the implications of different viscosities on fluid behavior.