Elements of Natural Philosophy, Volume 1 |
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CHAP . I. KINEMATICS PAGE I II . DYNAMICAL LAWS AND PRINCIPLES 52 III .
EXPERIENCE 106 IV . MEASURES AND INSTRUMENTS 117 DIVISION II .
ABSTRACT DYNAMICS . V. INTRODUCTORY 130 VI . STATICS OF A PARTICLE
.
CHAP . I. KINEMATICS PAGE I II . DYNAMICAL LAWS AND PRINCIPLES 52 III .
EXPERIENCE 106 IV . MEASURES AND INSTRUMENTS 117 DIVISION II .
ABSTRACT DYNAMICS . V. INTRODUCTORY 130 VI . STATICS OF A PARTICLE
.
Page 2
If the motion be that of a material particle , however , there can be no abrupt
change of velocity , nor of direction unless where the velocity is zero , since ( as
we shall afterwards see ) such would imply the action of an infinite force . It is
useful to ...
If the motion be that of a material particle , however , there can be no abrupt
change of velocity , nor of direction unless where the velocity is zero , since ( as
we shall afterwards see ) such would imply the action of an infinite force . It is
useful to ...
Page 13
The moment of the resultant velocity of a particle about any point in the plane of
the components is equal to the algebraic sum of the moments of the components
, the proper sign of each moment depending on the direction of motion about the
...
The moment of the resultant velocity of a particle about any point in the plane of
the components is equal to the algebraic sum of the moments of the components
, the proper sign of each moment depending on the direction of motion about the
...
Page 14
Smith's curve is precisely the Hamiltonian hodograph for an imaginary particle
moving at each instant with the same velocity and the same direction as the
particle of fluid passing , at the same instant , through the point referred to . ] 50.
Smith's curve is precisely the Hamiltonian hodograph for an imaginary particle
moving at each instant with the same velocity and the same direction as the
particle of fluid passing , at the same instant , through the point referred to . ] 50.
Page 17
From $$ 61 , 52 , it follows that when a particle moves with acceleration towards a
fixed point , varying inversely as the square of the istance , its orbit is a conic
section , with his point for one focus . And conversely ( $$ 47 , 51 , 62 ) , if the
orbit ...
From $$ 61 , 52 , it follows that when a particle moves with acceleration towards a
fixed point , varying inversely as the square of the istance , its orbit is a conic
section , with his point for one focus . And conversely ( $$ 47 , 51 , 62 ) , if the
orbit ...
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acceleration according acting action amount angle angular applied attraction axes axis body called centre centre of inertia circle component condition consider constant corresponding couple course curvature curve denote density described determined direction displacement distance divided effect elastic elements energy equal equations equilibrium evidently expression figure fixed fluid force friction give given gravity harmonic Hence important increase infinitely small instant interval kinetic length less mass matter mean measured method motion moving natural normal observation opposite parallel particle passing path perpendicular plane portion position potential practical pressure principle problem produce projection proportional quantity radius reference relative remain remarkable respectively rest resultant right angles rigid rotation round sides simple solid space spherical square straight strain stress suppose surface theory turned uniform unit velocity weight whole wire