Linear Momentum Conservation and Stress in Continuum

This lecture covers the conservation of linear momentum and stress in a continuum, discussing topics such as mass conservation, momentum conservation, stress tensor evaluation, constitutive laws for Newtonian fluids and Hookean solids, and the geometry of body motion. The instructor explains the governing equations, constitutive laws, continuum mechanics, and the tools needed for problem-solving, emphasizing the importance of material derivatives, convective derivatives, and the use of tensor calculus.