| Introduction to Lagrangian Dynamics (pdf version) by Michael M. Bishop |
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| Table of Contents (pdf version) (This TOC provides a guide to the contents of Introduction to Lagrangian Dynamics. The page numbers refer to the pdf document) |
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| Partial Derivatives | 1 | |
| Introductory Remarks | ||
| Lagrange’s Equation of Motion | 3 | |
| 1 | A Mass on a Spring Resonance |
6 7 |
| 2 | The Pendulum A Pendulum in an Accelerated Frame |
10 |
| 3 | A Bead on a Parabolic Wire A Bead on a Cycloid A Bead on a Circle - Part 1 A Bead on a Circle - Part 2 |
12 13 15 16 |
| 4 | A Body Sliding Down a Ramp Which is Free to Move | 17 |
| 5 | A Mass Swinging on a Spring A Double Pendulum A Pendulum with a Sliding Support A Pendulum Hanging between Two Springs |
18 24 26 28 |
| Moments of Inertia | 30 | |
| 6 | A Sphere Rolling Down a Ramp The Atwood Machine A Double Pulley System A Body in a Hoop |
31 32 33 34 |
| 7 | The Kepler Problem | 35 |
| Recommended Reading: | ||
| Perfect Form by Don S. Lemons, Princeton University Press, 1997. [ISBN 0-691-02663-7] | ||
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