This note covers
the following topics: introduction , force as a vector, static equilibrium,
addition and subtraction of vectors ,kinematics: describing 1D motion and
relative velocity , kinematics and velocity , kinematics: 2D motion and
circular motion , Newton's three laws , friction , springs , circular
motion with gravity , potential energy diagrams, potential energy of
springs , conservation of momentum , momentum, combining momentum and energy ,
2D collisions , power, impulse, center of mass , simple harmonic motion ,
gravity, properties of fluids , introduction to angular motion , statics and
dynamics of angular motion , pendulums and kinetic energy of rotation , energy
and momentum of rotation.
This note
exlains Newtonian remarks, Oscillations, Gravitation, Variational calculus, Lagrangian and hamiltonian mechanics, Central force
motion, Systems of particles, Motion in a noninertial reference frame,
Dynamics of rigid bodies and small oscillations.
This is a “minimalist” textbook for a first semester of
university, calculus-based physics, covering classical mechanics, plus a
brief introduction to thermodynamics. Topics covered includes: Acceleration,
Momentum and Inertia, Kinetic Energy, Interactions and energy, Interactions,
Forces, Impulse, Work and Power, Motion in two dimensions, Rotational
dynamics, Gravity, Simple harmonic motion, Waves in one dimension,
Thermodynamics.
This note is about the Lagrangian and Hamiltonian
formulations of classical mechanics. Topics covered includes: Newtonian
mechanics, Lagrangian mechanics, Small oscillations, Rigid body dynamics,
Hamiltonian mechanics and Levi-Civita alternating symbol.
This note explains the following topics: Newtonian and
Lagrangian mechanics of point particles, Hamiltonian formalism of mechanics,
Canonical transformations, Rigid body mechanics, Dynamics of continuous
media/deformable bodies: Lagrangian and Eulerian descriptions, Vibrations of
a stretched string.
This note covers
the following topics: Lagrangian, metric and coordinates, Legendre transform
and the Hamiltonian, Canonical transformations, Tensor transformation and
the derivative, Parallel transport on a sphere, Infinitesimal
transformations, Newtonian gravity, The Riemann tensor and curvature, Matter
coupling and variation, Linearized gravity and metric interpretation,
Schwarzschild geodesics.
This lecture note explains the
following topics: History and Limitations of Classical Mechanics, Units,
Dimensional Analysis, Problem Solving, and Estimation, Vectors, Dimensional
Kinematics, Newton’s Laws of Motion, Circular Motion, Momentum, System of
Particles, and Conservation of Momentum, Potential Energy and Conservation
of Energy, Angular Momentum, Simple Harmonic Motion, Celestial Mechanics,
Kinetic Theory.
This book explains
the following topics: Hamilton’s Principle of Least Action, Conservation
Laws and Symmetries of the Lagrangian, Solving the Equations of Motion,
Scattering Processes, Small Oscillations, Rigid body motion and Hamiltonian
Formulation of Mechanics.
This note covers the following
topics: The 'minimum' principles , Motion in central forces, Rigid body, Small
oscillations, Canonical transformations, Poisson parentheses, Hamilton-Jacobi
Equations, Action-Angle variables, Perturbation theory, Adiabatic invariants,
Mechanics of continuous systems.
This note covers the following
topics: Motion in 1 dimension, Motion in 3 dimension, Conservation of energy,
Newton's laws of motion, Conservation of momentum, Circular motion, Rotational
motion, Angular momentum, Statics, Oscillatory motion, Orbital motion and Wave
motion.
Author(s): Richard
Fitzpatrick, University of Texas at Austin
In this
text, the author constructs the mathematical apparatus of classical mechanics
from the beginning, examining all the basic problems in dynamics, including
the theory of oscillations, the theory of rigid body motion, and the
Hamiltonian formalism.
This note covers the following topics: Centres of Mass, Moment of
Inertia, Systems of Particles, Rigid Body Rotation, Collisions, Motion in a
Resisting Medium, Projectiles, Conservative Forces, Rocket Motion, Simple and
Damped Oscillatory Motion, Forced Oscillations, Lagrangian Mechanics,
Hydrostatics, The Cycloid, Central Forces and Equivalent Potential, Vibrating Systems and Dimensions.