This note describes the following topics: Newtonian
mechanics, Forces and dynamics, Motion in one dimension, Motion in higher
dimensions, Constrained systems, The Kepler problem, Systems of particles,
Rotating frames and rigid bodies.
This note explains the following topics:
Newtonian Mechanics, Newtonian Gravitation, Simple Dynamical Systems, Fixed
Points and Limit Cycles, Lagranian Mechanics, Central Force Motion, Scattering
from Central Force Potential, Dynamics in Rotating Frames of Reference, Rigid
Body Dynamics , Oscillations, Hamiltonian Mechanics, Canonical Transformations,
Action-Angle Coordinates, Hamilton-Jacobi Theory.
This note covers
the following topics: Circle Diffeomorphisms, The Combinatorics of Endomorphisms,
Structural Stability and Hyperbolicity, Structure of Smooth Maps, Ergodic
Properties and Invariant Measures, Renormalization.
Author(s): Welington de Melo and Sebastian van Strien
provides a broad introduction to Newtonian dynamics of particles and rigid
bodies with applications to engineering design. Topics covered includes:
kinematics and dynamics of particles and rigid bodies, conservation laws,
vibrations of single degree of freedom systems, and use of MATLAB to solve
equations of motion and optimize engineering designs.
This note covers the following topics:Dynamics of a Single
Particle, Kinematics of a Single Particle, Kinetics of a Single Particle,
Lagrange’s Equations of Motion for a Single Particle, Dynamics of a System of
Particles, Dynamics of Systems of Particles, Kinematics and Dynamics of a Single
Rigid Body, Constraints on and Potentials for Rigid Bodies, Kinetics of a Rigid
Body, Lagrange’s Equations of Motion for a Single Rigid Body.
This is an introductory course on Newtonian mechanics and special
relativity given to first year undergraduates. The notes were last updated
in April 2012. Individual chapters and problem sheets are available on the
link below. The full set of lecture notes come in around 145 pages and can
be downloaded here. This covers the following topics: Newtonian Mechanics,
Forces, Interlude, Dimensional Analysis, Systems of Particles, Central
Forces, Rigid Bodies, Non-Inertial Frames and Special Relativity.The lecture
notes can be downloaded in both PDF and PS formats
a second course in classical mechanics, given to final year undergraduates.
They were last updated in July 2012. Individual chapters and problem sheets
are available below. The full set of lecture notes, weighing in at around
130 pages, can be downloaded here. This contains the following categories:
Newtonian Mechanics, The Lagrangian Formulation, The Motion of Rigid Bodies,
The Hamiltonian Formulation. The lecture notes can be downloaded in both PDF
and PS formats