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 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.
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 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 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.
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 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 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 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.
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.
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.