Elementary Analytical Dynamics Of A Particle

Elementary Analytical Dynamics Of A Particle

Author: S R Gupta

Publisher: Hassell Street Press

Published: 2023-07-22

Total Pages: 0

ISBN-13: 9781022883994

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This textbook is an introduction to the principles of analytical dynamics, with a specific focus on particle mechanics. Topics covered include Lagrange's equations, Hamilton's equations, rigid body motion, and central force motion. With clear explanations and plenty of examples, this book is ideal for students and professionals in physics, engineering, and mathematics. This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.


Elementary Analytical Dynamics Of A ParticleAnd Of Rigid Bodies

Elementary Analytical Dynamics Of A ParticleAnd Of Rigid Bodies

Author: S R Gupta

Publisher: Franklin Classics

Published: 2018-10-15

Total Pages: 346

ISBN-13: 9780343193997

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This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.


Elementary Analytical Dynamics of a Particleand of Rigid Bodies - Primary Source Edition

Elementary Analytical Dynamics of a Particleand of Rigid Bodies - Primary Source Edition

Author: S.R. Gupta

Publisher: Nabu Press

Published: 2014-01

Total Pages: 348

ISBN-13: 9781295541980

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This is a reproduction of a book published before 1923. This book may have occasional imperfections such as missing or blurred pages, poor pictures, errant marks, etc. that were either part of the original artifact, or were introduced by the scanning process. We believe this work is culturally important, and despite the imperfections, have elected to bring it back into print as part of our continuing commitment to the preservation of printed works worldwide. We appreciate your understanding of the imperfections in the preservation process, and hope you enjoy this valuable book.


Introduction to Analytical Dynamics

Introduction to Analytical Dynamics

Author: Nicholas Woodhouse

Publisher: Springer Science & Business Media

Published: 2009-12-17

Total Pages: 240

ISBN-13: 1848828160

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First published in 1987, this text offers concise but clear explanations and derivations to give readers a confident grasp of the chain of argument that leads from Newton’s laws through Lagrange’s equations and Hamilton’s principle, to Hamilton’s equations and canonical transformations. This new edition has been extensively revised and updated to include: A chapter on symplectic geometry and the geometric interpretation of some of the coordinate calculations. A more systematic treatment of the conections with the phase-plane analysis of ODEs; and an improved treatment of Euler angles. A greater emphasis on the links to special relativity and quantum theory showing how ideas from this classical subject link into contemporary areas of mathematics and theoretical physics. A wealth of examples show the subject in action and a range of exercises – with solutions – are provided to help test understanding.


Analytical Dynamics: Course Notes

Analytical Dynamics: Course Notes

Author: Samuel D Lindenbaum

Publisher: World Scientific

Published: 1994-01-28

Total Pages: 316

ISBN-13: 981450291X

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This book comprises a set of lecture notes on rational mechanics, for part of the graduate physics curriculum, delivered by the late Prof. Shirley L. Quimby during his tenure at Columbia University, New York. The notes contain proofs of basic theorems, derivations of formulae and amplification of observations, as well as the presentation and solution of illustrative problems. Collateral readings from more than 50 source references are indicated at appropriate places in the text.


Dynamics of Particles and Rigid Bodies

Dynamics of Particles and Rigid Bodies

Author: Anil Rao

Publisher: Cambridge University Press

Published: 2005-11-14

Total Pages: 7

ISBN-13: 1139448897

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This 2006 book is intended for undergraduate courses in dynamics. The work is a unique blend of conceptual, theoretical, and practical aspects of dynamics generally not found in dynamics books at the undergraduate level. In particular, in this book the concepts are developed in a highly rigorous manner and are applied to examples using a step-by-step approach that is completely consistent with the theory. In addition, for clarity, the notation used to develop the theory is identical to that used to solve example problems. The result of this approach is that a student is able to see clearly the connection between the theory and the application of theory to example problems. While the material is not new, instructors and their students will appreciate the highly pedagogical approach that aids in the mastery and retention of concepts. The approach used in this book teaches a student to develop a systematic approach to problem-solving.


A Treatise on the Analytical Dynamics of Particles and Rigid Bodies; with an Introduction to the Problem of Three Bodies - Primary Source Edition

A Treatise on the Analytical Dynamics of Particles and Rigid Bodies; with an Introduction to the Problem of Three Bodies - Primary Source Edition

Author: E. T. (Edmund Taylor) 1873-1 Whittaker

Publisher: Nabu Press

Published: 2013-09

Total Pages: 452

ISBN-13: 9781289661502

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This is a reproduction of a book published before 1923. This book may have occasional imperfections such as missing or blurred pages, poor pictures, errant marks, etc. that were either part of the original artifact, or were introduced by the scanning process. We believe this work is culturally important, and despite the imperfections, have elected to bring it back into print as part of our continuing commitment to the preservation of printed works worldwide. We appreciate your understanding of the imperfections in the preservation process, and hope you enjoy this valuable book.


Analytical Dynamics

Analytical Dynamics

Author: Haim Baruh

Publisher: McGraw-Hill Science, Engineering & Mathematics

Published: 1999

Total Pages: 0

ISBN-13: 9780073659770

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This book presents a fair and balanced description of dynamics problems and formulations. From the classical methods to the newer techniques used in today's complex and multibody environments, this text shows how those approaches complement each other. The text begins by introducing the reader to the basic concepts in mechanics. These concepts are introduced at the particle mechanics level. The text then extends these concepts to systems of particles, rigid bodies (plane motion and 3D), and lightly flexible bodies. The cornerstone variational principles of mechanics are developed and they are applied to particles, rigid bodies, and deformable bodies. The text emphasizes both the derivation of the describing equations and the response. The describing equations are developed using force and moment balances, as well as variational principles. Different approaches of obtaining equations of motion are discussed and compared. The response is analyzed qualitatively and quantitatively.