Classical Dynamics Greenwood Pdf

Author: Donald T. 22 downloads 208 Views 5MB Size Report. DOWNLOAD DJVU. Classical Mechanics: Dynamics. Classical dynamics. A contemporary approach. Classical and Quantum Dynamics of thp Mu1tispherical Nanostructurps ~ h p This page intentionally left blank Classi. Relativistic Dynamics 298 Momentum. The momentum-energy four-vector. Con­ servation of energy. Mass and energy. Example—inelastic collision. The principle of equivalence. Lagrangian and Hamiltonian formulations. Accelerated Systems 315 Rocket with constant acceleration. Rocket with constant thrust.

• • Title • Classical dynamics /​ Donald T. Author • Greenwood, Donald T., (author.) Published • Mineola, N.Y.: Dover Publications, 1997. Copyright • ©1977. Content Types • text Carrier Types • volume Physical Description • x, 337 pages: illustrations; 22 cm. Subjects • • Contents • Machine derived contents note: Table of contents for Classical dynamics /​ Donald T. • • Bibliographic record and links to related information available from the Library of Congress catalog • Information from electronic data provided by the publisher. May be incomplete or contain other coding.

Introductory concepts 1.1 The Mechanical System. Equations of motion. Units 1.2 Generalized Coordinates. Degrees of freedom. Generalized Coordinates.

Configuration space. 1.3 Constraints. Holonomic constraints. Nonholonomic constraints.

Unilateral constraints. 1.4 Virtual Work. Virtual displacement. Virtual work. Principle of virtual work. D'Alembert's principle.

Generalized force. 1.5 Energy and Momentum.

Potential energy. Work and kinetic energy. Conservation of energy. Equilibrium and stability.

Kinetic energy of a system. Angular momentum. Generalized momentum. Lagrange's Equations 2.1 Derivation of Lagrange's Equations.

Kinetic energy. Lagrange's equations.

Download free touhoumon patch 153 software. Form of the equations of motion. Nonholonomic systems.

2.2 Examples. Spherical pendulum. Double pendulum. Lagrange multipliers and constraint forces. Particle in whirling tube. Particle with moving support. Rheonomic constrained system.

2.3 Integrals of the Motion. Ignorable coordinates.

Example • the Kepler problem. Routhian function. Conservative systems.

Natural systems. Liouville's system. 2.4 Small Oscillations. Equations of motion. Natural modes. Principal coordinates.

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Repeated roots. Initial conditions. Special applications of Lagrange's Equations 3.1 Rayleigh's Dissipation function 3.2 Impulsive Motion.