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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.
Author(s): Salah Nasri
185Pages
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.
Author(s): University of Cincinnati
130Pages
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.
Author(s): Alagappa University
290Pages
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
214Pages
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.
Author(s): Dr David Tong, University of Cambridge
139Pages
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.
Author(s): Julio Gea-Banacloche
NAPages
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.
Author(s): Sahra Haji
82Pages
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.
Author(s): James Sparks
96Pages
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.
Author(s): Michael Fowler
NAPages
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.
Author(s): Govind S. Krishnaswami
64Pages
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.
Author(s): Prof. Iain W. Stewart
NAPages
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.
Author(s): Joel Franklin
NAPages
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.
Author(s): MIT
NAPages
This book is designed for students with some previous acquaintance with the elementary concepts of mechanics, but the book starts from first principles, and little detailed knowledge is assumed. An essential prerequisite is a reasonable familiarity with differential and integral calculus, including partial differentiation.
Author(s): Tom W.B. Kibble and Frank H. Berkshire
NAPages
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.
Author(s): Charles B. Thorn
76Pages
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.
Author(s): H.C. Rosu
131Pages
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.
Author(s): Daniel Arovas
453Pages
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.
Author(s): Dr. George Stephans
NAPages
This note covers the following topics: Motion in 1 dimension, Motion in 3 dimension, Newton's laws of motion, Conservation of energy, Circular motion, Rotational motion, Angular momentum, Statics, Oscillatory motion and Orbital motion.
Author(s): Richard Fitzpatrick, University of Texas at Austin
NAPages
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
297Pages
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.
Author(s): Joel A. Shapiro
252Pages
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.
Author(s): Sergei Tabachnikov
24Pages
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.
Author(s): Dr. J. B. Tatum
NAPages
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