A Treatise on Dynamics of a Particle: With Numerous Examples (Classic Reprint) - Softcover

Routh, Edward John

9781440093081: A Treatise on Dynamics of a Particle: With Numerous Examples (Classic Reprint)

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ISBN 10: 1440093083 ISBN 13: 9781440093081

Verlag: Forgotten Books, 2011

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Excerpt from A Treatise on Dynamics of a Particle: With Numerous Examples

Astronomy dzp'i.0 many questions which necessarily excite our interest and curiosity are discussed in the dynamics of a particle that this subject has always been a favourite one with students. How, for example, is it that by observing the motion of a pendulum we can tell the time of the rotation of the earth, or knowing this, how is it that we can deduce the latitude of the place? Why does our earth travel round the sun in an ellipse and what would be the path if the law of gravitation were different? Would any other law give a closed orbit so that our planet might (if undisturbed) repeat the same path continually? Is there a resisting medium which continually bringing our orbit nearer to the sun? What would be the path of a particle in a system of two centres of force? When a comet passes close to a planet does it carry with it in its new orbit some tokens to prove its identity?

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PREFACE.
SO many questions which necessarily excite our interest and
curiosity are discussed in the dynamics of a particle that
this subject has always been a favourite one with students. How.
for example, is it that by observing the motion of a pendulum we
can tell the time of the rotation of the earth, or knowing this,
hov,' is it that we can deduce the latitude of the place? Vhy does
our eat�th travel round the sun in an ellipse a.nd what would be
the path if the law of gravitation were different? Would any
other law give a closed orbit so that our planet might (if
undisturbed) repeat the same path continually? Is there a
resisting medium which ,j's �~1~wlY� but continually bringing our
orbit nearer to the sun? Vhat ,yould be the path of a particle
in a system of two centres of force? Vhen a comet passes close
to a planet does it carry with it in its new orbit some tokens
to prove its identity?
Such problems as these (which are merely examples) excite
our cu

Table of Contents

CONTENTS; CHAPTER I; ELE~ENTARY CONSIDERATIOXS; aTa; 1-30 Velocity and acceleration ; 31-38 Cartesian, polar and intrinsio components; 39-40 Relative motion ; 41-45 Angular velocity; 46-48 Units of space and time; 49-62 Laws of motion •; 63-67 Units of mass amI force; 68-72 Vis viva and work; 73-79 The two solutions of the equRtions of motion; 80-91 Impulsive forces and impacts; 92-93, Motion of the centre of gravity; 94 Examples on impaots; CHAPTER II; HECTILINEAR MO'l'IO:i; 95-103 Solution of the equation Ambiguities; 104-117 A heavy particle in v:tcuo and ill a resisting medium; Rough chords ; 118-122 Linear equation and harmonic motion; PAGES; 1-10; 11-13; 14-15; 15-16; 16-17;