Solution manual for Classical Dynamics of Particles and Systems, 5th Edition, by Thornton

All 14Chapters Covered
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SOLUTIONMANUAL
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, Contents




Preface v
Problems Solved in Student Solutions Manual
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1 Matrices, Vectors, and Vector Calculus
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2 Newtonian Mechanics—Single Particle
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3 Oscillations 79

4 Nonlinear Oscillations and Chaos
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5 Gravitation 149

6 Some Methods in The Calculus of Variations
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7 Hamilton’s Principle—Lagrangian and Hamiltonian Dynamics
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8 Central-Force Motion k 233

9 Dynamics of a System of Particles
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10 Motion in a Noninertial Reference Frame
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11 Dynamics of Rigid Bodies k k k 353

12 Coupled Oscillations
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13 Continuous Systems; Waves k k 435

14 Special Theory of Relativity
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iii

,iv CONTENTS

, Preface




This Instructor’s Manual contains the solutions to all the end-of-chapter problems (but not the
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appendices) from Classical Dynamics of Particles and Systems, Fifth Edition, by Stephen T. Thornton
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and Jerry B. Marion. It is intended for use only by instructors using Classical Dynamics as a textbook,
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and it is not available to students in any form. A Student Solutions Manual containing solutions to
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about 25% of the end-of-chapter problems is available for sale to students. The problem numbers of
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those solutions in the Student Solutions Manual are listed on the next page.
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As a result of surveys received from users, I continue to add more worked out examples in the
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text and add additional problems. There are now 509 problems, a significant number over the 4th
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edition.
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The instructor will find a large array of problems ranging in difficulty from the simple “plug
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and chug” to the type worthy of the Ph.D. qualifying examinations in classical mechanics. A few of
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the problems are quite challenging. Many of them require numerical methods. Having this
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solutions manual should provide a greater appreciation of what the authors intended to
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accomplish by the statement of the problem in those cases where the problem statement is not
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completely clear. Please inform me when either the problem statement or solutions can be
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improved. Specific help is encouraged. The instructor will also be able to pick and choose different
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levels of difficulty when assigning homework problems. And since students may occasionally
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need hints to work some problems, this manual will allow the instructor to take a quick peek to see
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how the students can be helped.
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It is absolutely forbidden for the students to have access to this manual. Please do not give
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students solutions from this manual. Posting these solutions on the Internet will result in
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widespread distribution of the solutions and will ultimately result in the decrease of the usefulness
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of the text.
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The author would like to acknowledge the assistance of Tran ngoc Khanh (5th edition),
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Warren Griffith (4th edition), and Brian Giambattista (3rd edition), who checked the solutions of
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previous versions, went over user comments, and worked out solutions for new problems.
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Without their help, this manual would not be possible. The author would appreciate receiving
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reports of suggested improvements and suspected errors. Comments can be sent by email to
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, the more detailed the better.
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Stephen T. Thornton k k




Charlottesville,Virginia k




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