Physics I Classical Mechanics

Classical Mechanics by Joachim Brod

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

130 Pages

Classical Mechanics by Alagappa University

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

290 Pages

Classical Dynamics by Dr David Tong

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

139 Pages

Classical Mechanics by Sahra Haji

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

82 Pages

Graduate Classical Mechanics

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

NA Pages

Notes for Classical Mechanics, Govind S. Krishnaswami

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

64 Pages

Classical Mechanics III by Prof. Iain Stewart

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

NA Pages

Classical Mechanics MIT Course Notes

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

NA Pages

Classical Mechanics by Charles B. Thorn

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

76 Pages

Lecture Notes on Classical Mechanics

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

453 Pages

Physics I Classical Mechanics III

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

NA Pages

Classical Mechanics (Joel A. Shapiro PDF 252p)

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

252 Pages

Mathematical methods of classical mechanics (PDF 24p)

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

24 Pages

Lectures on Classical Mechanics [PDF 76p]

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Author(s): NA

NA Pages

Lecture Notes on Classical Mechanics for Physics [Sunil Golwala PDF 396p]

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Author(s): NA

NA Pages

Classical Mechanics Class Notes

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Author(s): NA

NA Pages