This note describes the
following topics: The Calculus of Variations, Fermat's Principle of Least
Time, Hamilton's Principle and Noether's Theorem, Mechanical Similarity,
Hamilton's Equations, Poisson Brackets, A New Expression for the Action,
Maupertuis' Principle, Canonical Transformations, Liouville's Theorem, The
Hamilton-Jacobi Equation, Adiabatic Invariants and Action-Angle Variables,
Mathematics for Orbits, Keplerian Orbits, Elastic Scattering, Small
Oscillations, Driven Oscillator, One-Dimensional Crystal Dynamics,
Parametric Resonance, The Ponderomotive Force, Resonant Nonlinear
Oscillations, Rigid Body Motion, Moments of Inertia, Rigid Body Moving
Freely, Euler Angles, Eulers Equations, Non Inertial Frame, Coriolis effect,
A Rolling Sphere on a Rotating Plane.
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 note
explains the following topics: Lagrange And Hamilton Equations , Newton’s
Laws Of Motion, Hamiltonian Methods, Hamilton’s Principle, Hamilton-jacobi
Theory, Canonical Transformations, Kinematics Of Rigid Body Motion And
Special Theory Of Reativity, : Small Oscillations And Normal Modes, Special
Theory Of Relativity, Lorentz Transformation, One Dimensional Oscillator.
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 lecture note explains the following topics:
Newtons laws of motion, Scalars and Vector, Units and Dimensions, Time rate
of change of vectors, Motion in one dimension, Motion under a constant
force, Force of friction, Kinematical relations, Simple Harmonic motion,
Motion in a plane, Central force, Rotating frame of reference.
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
lecture note covers Lagrangian and Hamiltonian mechanics, systems with
constraints, rigid body dynamics, vibrations, central forces, Hamilton-Jacobi
theory, action-angle variables, perturbation theory, and continuous systems.
It provides an introduction to ideal and viscous fluid mechanics, including
turbulence, as well as an introduction to nonlinear dynamics, including
chaos.
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: 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 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
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.