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David Morin - Introduction to Classical Mechanics - With Problems and Solutions.pdf

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David Morin - Introduction to Classical Mechanics - With Problems and Solutions.pdf

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David Morin - Introduction to Classical Mechanics - With Problems and Solutions.pdf

文档介绍

文档介绍:CAMBRIDGE UNIVERSITY PRESS
Cambridge, New York, Melbourne, Madrid, Cape Town, Singapore, São Paulo
Cambridge University Press
The Edinburgh Building, Cambridge CB2 8RU, UK
Published in the United States of America by Cambridge University Press, New York
Information on this title: 0521876223
© D. Morin 2007
This publication is in copyright. Subject to statutory exception and to the provision of
relevant collective licensing agreements, no reproduction of any part may take place
without the written permission of Cambridge University Press.
First published in print format 2008
ISBN-13 978-0-511-37723-5 eBook (EBL)
ISBN-13 978-0-521-87622-3 hardback
Cambridge University Press has no responsibility for the persistence or accuracy of urls
for external or third-party websites referred to in this publication, and does not
guarantee that any content on such websites is, or will remain, accurate or appropriate.
There once was a classical theory,
Of which quantum disciples were leery.
They said, “Why spend so long
On a theory that’s wrong?”
Well, it works for your everyday query!
Contents
Preface page xiii
1 Strategies for solving problems 1
General strategies 1
Units, dimensional analysis 4
Approximations, limiting cases 7
Solving differential equations numerically 11
Problems 14
Exercises 15
Solutions 18
2 Statics 22
Balancing forces 22
Balancing torques 27
Problems 30
Exercises 35
Solutions 39
3 Using F = ma 51
Newton’s laws 51
Free-body diagrams 55
Solving differential equations 60
Projectile motion 65
Motion in a plane, polar coordinates 68
Problems 70
Exercises 75
Solutions 84
4 Oscillations 101
Linear differential equations 101
Simple harmonic motion 105
vii
viii Contents
Damped harmonic motion 107
Driven (and damped) harmonic motion 109
Coupled oscillators 115
Problems 120
Exercises 122
Sol