Elements of Natural Philosophy, Volume 1 |
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Page 5
... relative motions of all parts of other systems of pulleys and cords as long as all the free parts of the cords are parallel . Of course , if a pulley be fixed , the motion of a point of one end of the cord to or from it involves an ...
... relative motions of all parts of other systems of pulleys and cords as long as all the free parts of the cords are parallel . Of course , if a pulley be fixed , the motion of a point of one end of the cord to or from it involves an ...
Page 17
... Relative merely . We can calculate from astronomical data for any instant the direction in which , and the velocity with which , we are moving on account of the earth's diurnal rotation . We may compound this with the ( equally ...
... Relative merely . We can calculate from astronomical data for any instant the direction in which , and the velocity with which , we are moving on account of the earth's diurnal rotation . We may compound this with the ( equally ...
Page 18
... relative velocity of the second with regard to the first is to be found by imagining impressed on both a southward velocity of fifty miles an hour ; the effect of this being to bring the first to rest , and to give the second a ...
... relative velocity of the second with regard to the first is to be found by imagining impressed on both a southward velocity of fifty miles an hour ; the effect of this being to bring the first to rest , and to give the second a ...
Page 19
... relative position , velocity , and acceleration are in such a case the geometrical resultants of the various components combined according to preceding rules . 68. The following practical methods of effecting such a com- bination in the ...
... relative position , velocity , and acceleration are in such a case the geometrical resultants of the various components combined according to preceding rules . 68. The following practical methods of effecting such a com- bination in the ...
Page 21
... relative circles . On CQ and CO P C B B ' describe a parallelogram SQCQ ; and through S draw SR per- pendicular to B'A ' produced . We have obviously P'R = CP ( being projections of the equal and parallel lines Q'S , CQ , on CR ) ...
... relative circles . On CQ and CO P C B B ' describe a parallelogram SQCQ ; and through S draw SR per- pendicular to B'A ' produced . We have obviously P'R = CP ( being projections of the equal and parallel lines Q'S , CQ , on CR ) ...
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Common terms and phrases
acceleration action amount angular velocity anticlastic attraction axis called centimetre centre of gravity centre of inertia circle circular cloth co-ordinates component configuration consider constant cosine couple curvature curve cylinder denote density described diagram displacement distance elements ellipse ellipsoid elongation equal equations equilibrium external point Extra fcap finite flexure fluid forces acting friction geometrical given force Hence hodograph horizontal infinitely small instant inversely kinetic energy length magnitude mass matter measured moment of inertia momentum moving Natural Philosophy normal section Oxford P₁ parallel particle path pendulum perpendicular portion position potential pressure principal axes principle produce projection proportional quantity radius radius of gyration reckoned rectangular resultant right angles rigid body rotation round shear shell sides simple harmonic motion solid angle space spherical surface spiral square straight line strain stress suppose tangent theory tion torsion uniform unit vertical whole wire
Popular passages
Page 161 - that every particle of matter in the universe attracts every other particle, with a force whose direction is that of the line joining the two, and whose magnitude is directly as the product of their masses, and inversely as the square of their distances from each other.
Page 65 - Every body continues in its state of rest or of uniform motion in a straight line, except in so far as it is compelled by force to change that state.
Page 28 - Fourier's theorem is not only one of the most beautiful results of modern analysis, but may be said to furnish an indispensable instrument in the treatment of nearly every recondite question in modern physics.
Page 161 - Newton generalized the law of attraction into a statement that every particle of matter in the universe attracts every other particle with a force which varies directly as the product of their masses and inversely as the square of the distance between them; and he thence deduced the law of attraction for spherical shells of constant density.
Page 66 - Change of motion is proportional to the impressed force and takes place in the direction of the straight line in which the force acts.
Page 68 - To every action there is always an equal and contrary reaction; or, the mutual actions of any two bodies are always equal and oppositely directed in the same straight line.
Page 130 - UNTIL we know thoroughly the nature of matter and the forces which produce its motions, it will be utterly impossible to submit to mathematical reasoning the exact conditions of any physical question.