Synopsis
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;
"synopsis" may belong to another edition of this title.
Product Description
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;
Book Description
Edward John Routh (1831–1907) was a highly successful mathematics coach at Cambridge. He also contributed to the foundations of control theory and to the modern treatment of mechanics. Published in 1898, this textbook offers extensive coverage of dynamics, with formulae and examples throughout.
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Paperback. Condition: New. Print on Demand. This book delves into the fascinating world of particle dynamics, exploring the motion of objects under the influence of forces. Written in a clear and accessible style, it guides readers through the fundamental concepts of velocity, acceleration, and momentum. The author masterfully blends mathematical rigor with engaging examples and explanations, making complex concepts understandable and relatable. The book's exploration of the dynamics of particles extends beyond basic concepts, delving into the intriguing realm of central forces and the motion of projectiles. It examines the historical significance of Newtonââ â¢s Laws of Motion, showcasing their profound influence on our understanding of the universe. Through the analysis of diverse scenarios, the author explores the interplay of forces, motion, and energy, providing insights into the mechanics of everyday phenomena as well as celestial bodies. This book serves as an invaluable resource for anyone seeking a deeper understanding of the forces that govern motion in the universe. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Seller Inventory # 9781440093081_0
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