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Introduction to
CLASSICAL MECHANICS
Introduction to
CLASSICAL
MECHANICS
A.P. FRENCH
Massachusetts Institute oj Technology
M.G. EBISON
The Institute oj Physics, London
KLUWER ACADEMIC PUBLISHERS
DORDRECHT I BOSTON / LONDON
Published by Kluwer Academic Publishers,
P.O. Box 17, 3300 AA Dordrecht, The Netherlands.
Sold and distributed in North, Central and South America
by Kluwer Academic Publishers,
101 Philip Drive, Norwell, MA 02061, U.S.A.
In all other countries, sold and distributed
by Kluwer Academic Publishers,
P.O. Box 322, 3300 AH Dordrecht, The Netherlands.
First edition 1986
Reprinted 1987, 1989, 1990, 1992, 1994, 1996, 1997,2000,2001
© 1986 A.P.French and M.G.Ebison
Typeset in 1O/12pt Times by Colset Private Ltd, Singapore
ISBN-13: 978-0-412-38140-9
e-ISBN-13: 978-94-009-4119-9
DOl: 10.1007/978-94-009-4119-9
Apart from any fair dealing for the purposes of research or private
study, or criticism or review, as permitted under the UK Copyright
Designs and Patents Act, 1988, this publication may not be
reproduced, stored, or transmitted, in any form or by any means,
without the prior permission in writing of the publishers, or in the case
of reprographic reproduction only in accordance with the terms of the
licences issued by the Copyright Licensing Agency in the UK, or in
accordance with the terms of licen!)es issued by the appropriate
Reproduction Rights Organization outside the UK. Enquiries concerning
reproduction outside the terms stated here should be sent to the
publishers at the London address printed on this page.
The publisher makes no representation, express or implied, with
regard to the accuracy of the information contained in this book and
cannot accept any legal responsibility or liability for any errors or
omissions that may be made.
Printed on acid-free paper
Contents
Preface
ix
Chapter 1 Space, time and motion
What is motion?
Frames of reference
Coordinate systems
Combination of vector displacements
Scalar product of vectors
Units and standards of length and time
Velocity
Relative velocity and relative motion
Acceleration
Straight-line motion
Uniform circular motion
Velocity and acceleration in polar coordinates
Problems
Chapter 2 Forces
Forces in equilibrium
Action and reaction in the contact of objects
Rotational equilbrium: torque
Inertia
Force and inertial mass: Newton's second law
Some comments on Newton's second law
The invariance of Newton's second law; relativity
Concluding remarks
Problems
Chapter 3 Using Newton's laws
Some examples of F= rna
Circular paths of charged particles in uniform magnetic fields
The fracture of rapidly rotating objects
Motion against resistive forces
Detailed analysis of resisted motion
Motion governed by viscosity
Growth and decay of resisted motion
Simple harmonic motion
Problems
Chapter 4 Universal gravitation
The discovery of universal gravitation
Kepler's third law
The moon and the apple
The gravitational attraction of a large sphere
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