Introduction
Classical mechanics is the branch of physics that deals with the motion and forces of macroscopic objects, such as planets, cars, balls, and machines. It is based on the laws and principles discovered by Isaac Newton and other scientists in the 17th to 19th centuries. Classical mechanics can accurately describe the behavior of most objects that we encounter in our everyday life, as long as they are not too small, too fast, or too massive.
Contents
Newtonian Mechanics
The Principles of Relativity and Determinacy
Newton’s Laws
Systems with One Degree of Freedom
Systems with Two Degrees of Freedom
Lagrangian Mechanics
Variational Calculus
Principle of Least Action
Lagrangian Dynamical System
Dimensional Analysis
Hamiltonian Mechanics
Hamiltonian & Symmetries
Phase Space & Chaos
Physical Quantities as Tensors
Wave Mechanics and Fourier Theory
Fourier Series
Fourier Transform
Linear Time Invariant(LTI) Systems
Numerical Fourier Transforms and Sampling
Dispersion
2D Fourier Transform
Diffraction
Fluid Mechanics
Bulk Properties and Continum Assumption
Modelling Flows
Bernoulli’s Theorem
Surface Tension
Waves in Fluids
Viscosity and Turbulence
Classical Field Theory
Acknowledgement
This part is mainly based on the ANU course PHYS2201 in 2023, convened by Dr. Ben Buchler and Prof. Vince Craig.