Mechanics III (Analytic Dynamics II) by Dr Babar Ahmad
We are very thankful to Dr Babar Ahmad for sharing his book on MathCity.org. This book is very helpful for undergraduate students of Science and Engineering Programs.
This book is shared by the permission of the author and he keeps the copyright of the book.
| Name | Mechanics III (Analytic Dynamics II) |
|---|---|
| Author | Dr. Babar Ahmad |
| Pages | 120 pages |
| Format | PDF (see Software section for PDF Reader) |
| Size | 1.56 MB |
From the Preface
Mechanics is core course for undergraduate Mathematics, Physics and many engineering disciplines. It appears under different names as Analytical/Classical Mechanics, Theoretical Mechanics, Mechanics I, Mechanics II, Mechanics III, Analytical Dynamics.
This textbook is designed to support teaching activities in Theoretical Mechanics specially Dynamics. It covers the contents of “Mechanics” for many undergraduate science and engineering programs. It presents simply and clearly the main theoretical aspects of mechanics.
It is assumed that the students have completed their courses in Calculus, Linear Algebra and Differential Equations and Mechanics II. This book also lay the foundations for further studies in physics, physical sciences, and engineering.
For each concept a number books, documents and lecture notes are consulted. I wish to express my gratitude to the authors of such works.
Contents
- Lagrangian Mechanics
- System Configurations and Coordinates
- Virtual Displacement and Virtual Work
- D Alembert’s Principle
- Euler Lagrange’s Equation of Motion
- One Dimensional Lagrange’s Equations of Motion
- Lagrange’s Equations of Motion in terms of Polar Coordinates
- Lagrange’s Equations of Motion in terms of 3 − space Cartesian Coordinates
- Lagrange’s Equations of Motion in terms of Cylindrical Polar Coordinates
- Lagrange’s Equations of Motion in terms of Spherical Polar Coordinates
- Ignoble or Cyclic Coordinates
- Generalized Momentum
- Canonical Conjugate Momentum
- Routh’s Function
- Rouths Equations of Motion for Non-cyclic Coordinates
- Routh’s Equations of Motion for Circular Orbit OR Routh’s Equations of Motion in terms of Polar Coordinates
- Hamilton's Dynamics
- Hamilton's Equations of Motion
- One Dimensional Hamilton’s Equations of Motion
- Two Dimensional Hamilton’s Equations of Motion
- Hamilton’s Equations of Motion in terms of Polar Coordinates
- Hamilton’s Equations of Motion in terms of 3 − space Cartesian Coordinates
- Hamilton’s Equations of Motion in terms of Cylindrical Polar Coordinates
- Hamilton’s Equations of Motion in terms of Spherical Polar Coordinates
- Hamilton’s Principle
- The method of Lagrange multiplier
- Exact or Canonical Transformation
- Exact or Canonical Transformation
- Canonical Transformation for these Four Types of Generating Functions
- Lagrange and Poisson Brackets
- Lagrange Brackets
- Poisson Brackets