edition
An Elementary Treatise on the
Dynamics
of
A PARTICLE
with
Solution Manual
S. L. LONEY
M-A-T-H
VALLEY
, LONEY’S
DYNAMICS OF A PARTICLE
WITH
SOLUTION MANUAL
BY
S. L. LONEY
Professor of Mathematics
Royal Holloway College
University of London, Englifield Green, Surrey, UK
Fellow, Sidney Sussex College, Cambridge, UK
Kindle Edition
M-A-T-H
VALLEY
v
,vi
M-A-T-H
VALLEY
Loney’s Dynamics of a Particle with Solution Manual
c
°Copyright received by publisher for this Kindle Edition .
The moral rights of the Publisher have been asserted.
First published by Math Valley in August 2018
All rights revised. No part of this publication may be reproduced.
Typeset in Times New Roman
, PREFACE
In the following work I have tried to write an elementary class-book
on those parts of Dynamics of a Particle and Rigid Dynamics which
are usually read by Students attending a course of lectures in Applied
Mathematics for a Science or Engineering Degree, and by Junior
Students for Mathematical Honours. Within the limits with which it
professes to deal, I hope it will be found to be fairly complete.
I assume that the Student has previously read some such course as
is included in my Elementary Dynamics. I also assume that he pos-
sesses a fair working knowledge of Differential and Integral Calcu-
lus; the Differential Equations, with which he will meet, are solved
in the Text, and in an Appendix he will find a summary of the meth-
ods of solution of such equations.
In Rigid Dynamics I have chiefly confined myself to two-dimensional
motion, and I have omitted all reference to moving axes.
I have included in the book a large number of Examples, mostly
collected from University and College Examination Papers; I have
verified every question, and hope that there will not be found a large
number of serious errors.
Solutions of the Examples have now been published.
December, 1926 S.L. LONEY
vii