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## Details

Material Type: | Internet resource |
---|---|

Document Type: | Book, Internet Resource |

All Authors / Contributors: |
Ashok Pandit |

ISBN: | 0849309794 9780849309793 |

OCLC Number: | 45172720 |

Description: | viii, 190 pages : illustrations ; 25 cm |

Contents: | Basic Concepts of Motion -- Concepts of a Particle -- Motion of a Particle -- Motion in a Plane -- Polar Coordinates -- Equation of Motion -- Rectilinear Motion -- Equation of Rectilinear Motion -- Integration of Equation of Motion -- Some Qualitative Analysis -- First Integrals of Motion -- Conservative Force Fields -- Energy, Momentum and Torque -- Conservation Principles -- Use of Conservation Principles -- Central Force Fields -- Basic Properties -- Equation of Motion in Polar Coordinates -- Integration of Equations of Motion -- An Explanation -- Circular Orbits -- Force Field from Equation of Orbit -- Planetary Motion (Kepler's Problem) -- System of Particles -- A System of Particles -- The Center of Mass -- Some More Definitions -- Conservation Principles -- The Two Body Problem -- Some Solved Examples -- Rigid Dynamics -- The Nature of Motion -- The Instantaneous Angular Velocity -- Equations of Motion -- The Inertia Tensor -- Euler's Equations -- Symmetric Rigid Bodies -- Lagrangian Mechanics -- Generalized Coordinates -- Motion -- The Lagrangian Function -- Lagrange's Equations -- Hamilton's Principle of Least Action -- Hamilton's Equations of Motion -- Conservation Principles. |

Responsibility: | Ashok S. Pandit. |

More information: |

### Abstract:

"This book is an introduction to the subject of classical mechanics. Though the treatment is mathematical, the mathematics used is elementary. The book avoids explaining the underlying geometry in an explicit manner. Instead, all the geometric discussion appears in a kinematical disguise in the belief that such a treatment is beneficial not only to the mathematics students but also to the students of physics and engineering." "Each chapter that begins with an introduction to the concepts involved in the topic of the chapter is followed by precise definitions, propositions and the theorems covering its theme. The results are further elucidated by illustrative examples and solved problems. Exercises are given at the end of each chapter."--Jacket.

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