Book 2010

Classical Mechanics

Systems of Particles and Hamiltonian Dynamics

Authors:

ISBN: 978-3-642-03433-6 (Print) 978-3-642-03434-3 (Online)

Table of contents (28 chapters)

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  1. Front Matter

    Pages I-XVIII

  2. Newtonian Mechanics in Moving Coordinate Systems

    1. Front Matter

      Pages 1-1

    2. No Access

      Chapter

      Pages 3-8

      Newton’s Equations in a Rotating Coordinate System

    3. No Access

      Chapter

      Pages 9-21

      Free Fall on the Rotating Earth

    4. No Access

      Chapter

      Pages 23-38

      Foucault’s Pendulum

  3. Mechanics of Particle Systems

    1. Front Matter

      Pages 39-39

    2. No Access

      Chapter

      Pages 41-42

      Degrees of Freedom

    3. No Access

      Chapter

      Pages 43-64

      Center of Gravity

    4. No Access

      Chapter

      Pages 65-77

      Mechanical Fundamental Quantities of Systems of Mass Points

  4. Vibrating Systems

    1. Front Matter

      Pages 79-79

    2. No Access

      Chapter

      Pages 81-100

      Vibrations of Coupled Mass Points

    3. No Access

      Chapter

      Pages 101-120

      The Vibrating String

    4. No Access

      Chapter

      Pages 121-131

      Fourier Series

    5. No Access

      Chapter

      Pages 133-157

      The Vibrating Membrane

  5. Mechanics of Rigid Bodies

    1. Front Matter

      Pages 159-159

    2. No Access

      Chapter

      Pages 161-183

      Rotation About a Fixed Axis

    3. No Access

      Chapter

      Pages 185-207

      Rotation About a Point

    4. No Access

      Chapter

      Pages 209-256

      Theory of the Top

  6. Lagrange Equations

    1. Front Matter

      Pages 257-257

    2. No Access

      Chapter

      Pages 259-265

      Generalized Coordinates

    3. No Access

      Chapter

      Pages 267-299

      D’Alembert Principle and Derivation of the Lagrange Equations

    4. No Access

      Chapter

      Pages 301-310

      Lagrange Equation for Nonholonomic Constraints

    5. No Access

      Chapter

      Pages 311-324

      Special Problems

  7. Hamiltonian Theory

    1. Front Matter

      Pages 325-325

    2. No Access

      Chapter

      Pages 327-364

      Hamilton’s Equations

    3. No Access

      Chapter

      Pages 365-382

      Canonical Transformations

    4. No Access

      Chapter

      Pages 383-413

      Hamilton–Jacobi Theory

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