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;
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;
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