Wave Mechanics
– Waves in Elastic Media: Basic oncepts, derivation of the wave equation, harmonic waves. Characteristics of mechanical waves, wave energy. Exercises & Problems.
– Propagation of mechanical waves: Superposition of waves, group and phase velocities, standing waves and normal modes, beats. Exercises & Problems.
– Sound waves: Production of sound waves, applications. Exercises & Problems.
Fluid mechanics
– Fluids (gasses and liquids): Pressure. Density. Fluids in equilibrium. Hydrostatics. Buoyancy. Pascal and Archimedes Principles. Exercises & Problems.
– Surface tension. Liquid-solid contact forces. Capillary phenomena. Fluid flow. Laminar flow. Law of continuity. Bernoulli’s Principle. Turbulent flow. Viscosity. Exercises & Problems.
– Deformation of solids (in brief). Exercises & Problems.
Heat and Thermodynamics
– System, surroundings, state variables, equilibrium, processes.
– First Law: Heat and work, heat capacity and calorimetry, heat transfer mechanisms. Exercises & Problems.
– Empirical Laws of Ideal Gas: Elements of kinetic theory. Molecular velocity distribution. Real gas. Ideal gas processes and cycles, heat engines and efficiency. Exercises & Problems.
– Second Law of Thermodynamics: Carnot cycle, entropy, Clausius inequality. Generalization of the 2nd Law. Systems equilibrium. Exercises & Problems.