solved problems in classical mechanics analytical and numerical solutions with comments

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Solved Problems In Classical Mechanics

Author : O.L. de Lange
ISBN : 9780199582525
Genre : Mathematics
File Size : 45. 80 MB
Format : PDF
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simulated motion on a computer screen, and to study the effects of changing parameters. --

Solved Problems In Classical Mechanics

Author : O.L. de Lange
ISBN : 0199582513
Genre : Science
File Size : 74. 9 MB
Format : PDF, ePub, Mobi
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This book consists of questions, solutions and comments on topics in undergraduate and graduate courses in classical mechanics. Both analytical and numerical (computer) techniques are used to obtain and analyze solutions. Computer calculations use Mathematica, with code provided in the text, including that for interactive, time-dependent studies.

Analytical Mechanics

Author : Ioan Merches
ISBN : 9781482239409
Genre : Science
File Size : 45. 41 MB
Format : PDF, Docs
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Giving students a thorough grounding in basic problems and their solutions, Analytical Mechanics: Solutions to Problems in Classical Physics presents a short theoretical description of the principles and methods of analytical mechanics, followed by solved problems. The authors thoroughly discuss solutions to the problems by taking a comprehensive approach to explore the methods of investigation. They carefully perform the calculations step by step, graphically displaying some solutions via Mathematica® 4.0. This collection of solved problems gives students experience in applying theory (Lagrangian and Hamiltonian formalisms for discrete and continuous systems, Hamilton-Jacobi method, variational calculus, theory of stability, and more) to problems in classical physics. The authors develop some theoretical subjects, so that students can follow solutions to the problems without appealing to other reference sources. This has been done for both discrete and continuous physical systems or, in analytical terms, systems with finite and infinite degrees of freedom. The authors also highlight the basics of vector algebra and vector analysis, in Appendix B. They thoroughly develop and discuss notions like gradient, divergence, curl, and tensor, together with their physical applications. There are many excellent textbooks dedicated to applied analytical mechanics for both students and their instructors, but this one takes an unusual approach, with a thorough analysis of solutions to the problems and an appropriate choice of applications in various branches of physics. It lays out the similarities and differences between various analytical approaches, and their specific efficiency.

1000 Solved Problems In Classical Physics

Author : Ahmad A. Kamal
ISBN : 3642119433
Genre : Science
File Size : 57. 41 MB
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This book basically caters to the needs of undergraduates and graduates physics students in the area of classical physics, specially Classical Mechanics and Electricity and Electromagnetism. Lecturers/ Tutors may use it as a resource book. The contents of the book are based on the syllabi currently used in the undergraduate courses in USA, U.K., and other countries. The book is divided into 15 chapters, each chapter beginning with a brief but adequate summary and necessary formulas and Line diagrams followed by a variety of typical problems useful for assignments and exams. Detailed solutions are provided at the end of each chapter.

An Introduction To Mechanics

Author : Daniel Kleppner
ISBN : 9780521198110
Genre : Science
File Size : 49. 88 MB
Format : PDF, Kindle
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This second edition is ideal for classical mechanics courses for first- and second-year undergraduates with foundation skills in mathematics.

Applied Mechanics Of Solids

Author : Allan F. Bower
ISBN : 1439802483
Genre : Science
File Size : 80. 33 MB
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Modern computer simulations make stress analysis easy. As they continue to replace classical mathematical methods of analysis, these software programs require users to have a solid understanding of the fundamental principles on which they are based. Develop Intuitive Ability to Identify and Avoid Physically Meaningless Predictions Applied Mechanics of Solids is a powerful tool for understanding how to take advantage of these revolutionary computer advances in the field of solid mechanics. Beginning with a description of the physical and mathematical laws that govern deformation in solids, the text presents modern constitutive equations, as well as analytical and computational methods of stress analysis and fracture mechanics. It also addresses the nonlinear theory of deformable rods, membranes, plates, and shells, and solutions to important boundary and initial value problems in solid mechanics. The author uses the step-by-step manner of a blackboard lecture to explain problem solving methods, often providing the solution to a problem before its derivation is presented. This format will be useful for practicing engineers and scientists who need a quick review of some aspect of solid mechanics, as well as for instructors and students. Select and Combine Topics Using Self-Contained Modules and Subsections Borrowing from the classical literature on linear elasticity, plasticity, and structural mechanics, this book: Introduces concepts, analytical techniques, and numerical methods used to analyze deformation, stress, and failure in materials or components Discusses the use of finite element software for stress analysis Assesses simple analytical solutions to explain how to set up properly posed boundary and initial-value problems Provides an understanding of algorithms implemented in software code Complemented by the author’s website, which features problem sets and sample code for self study, this book offers a crucial overview of problem solving for solid mechanics. It will help readers make optimal use of commercial finite element programs to achieve the most accurate prediction results possible.

Introduction To Classical Mechanics

Author : David Morin
ISBN : 9781139468374
Genre : Science
File Size : 51. 54 MB
Format : PDF, Mobi
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This textbook covers all the standard introductory topics in classical mechanics, including Newton's laws, oscillations, energy, momentum, angular momentum, planetary motion, and special relativity. It also explores more advanced topics, such as normal modes, the Lagrangian method, gyroscopic motion, fictitious forces, 4-vectors, and general relativity. It contains more than 250 problems with detailed solutions so students can easily check their understanding of the topic. There are also over 350 unworked exercises which are ideal for homework assignments. Password protected solutions are available to instructors at www.cambridge.org/9780521876223. The vast number of problems alone makes it an ideal supplementary text for all levels of undergraduate physics courses in classical mechanics. Remarks are scattered throughout the text, discussing issues that are often glossed over in other textbooks, and it is thoroughly illustrated with more than 600 figures to help demonstrate key concepts.

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