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.
The topics in this lecture
notes are : Linear and Nonlinear Oscillators, Lagrangian and Hamiltonian
equations of motion, Canonical transformations, Liouville’s theorem,
Action-angle variables, Coordinate system and Hamiltonian in an accelerator,
Equations of motion in accelerator, Action-angle variables for circular
machines, Field errors and nonlinear resonances, Resonance overlapping and
dynamic aperture, The kinetic equation, Radiation damping effects, Primer in
Special Relativity, Selected electrostatic and magnetostatic problems, Self
field of a relativistic beam, Effect of environment on electromagnetic field
of a beam, Plane electromagnetic waves and Gaussian beams, Radiation and
retarded potentials, Scattering of electromagnetic waves, Synchrotron
radiation, Undulator radiation, Transition and diffraction radiation,
Formation length of radiation and coherent effects, Synchrotron radiation
reaction force, Waveguides and RF cavities, Laser acceleration in vacuum.
Inverse FEL acceleration.
Author(s): G.
Stupakov, The US Particle Accelerator School
The contents include: Newton’s Laws of Motion, The Lagrangian
Formalism, The Motion of Rigid Bodies , The Hamiltonian Formalism,
Introduction to Dynamics, Systems of Particles, Linear Oscillations,
Calculus of Variations, Lagrangian Mechanics, Constraints, Central Forces
and Orbital Mechanics, Small Oscillations, Elastic Collisions, Noninertial
Reference Frames, Rigid Body Motion and Rotational Dynamics, Continuum
Mechanics, Special Relativity, Hamiltonian Mechanics.
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
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 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 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.
The level of this note
is appropriate for an advanced under graduate or a first year graduate course in
classical mechanics. This note covers the following topics: introduction to
Dynamics, Systems of Particles, one-Dimensional Conservative Systems, linear
Oscillations, Calculus of Variations, Lagrangian Mechanics, Noether’s Theorem,
Central Forces and Orbital Mechanics, Small Oscillations, Elastic Collisions,
Noninertial Reference Frames, Rigid Body Motion and Rotational Dynamics,
Continuum Mechanics, Special Relativity and Hamiltonian Mechanics.
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: Particle Kinematics,
Lagrange’s and Hamilton’s Equations, Two Body Central Forces, Rigid Body
Motion, Small Oscillations, Hamilton’s Equations, Perturbation Theory and
Field Theory.
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.