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 the following topics: newtonian mechanics of point like objects,
Gravitating bodies, D Alembert principle and euler lagrange equations,
Hamiltons principle, Rotating frames, Rotating frames and rigid body, Small
oscillations, The hamiltonian formalism, Nonlinear dynamics and chaos.
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
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 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.
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: 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.
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.