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 QS , CQ , on CR ) . Hence ...
... 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 QS , CQ , on CR ) . Hence ...
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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 co-ordinates component configuration consider constant cosine couple curvature curve cylinder denote density described diagram displacement distance ellipse ellipsoid elongation equal equations equilibrium external point finite fixed point 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 normal section P₁ P₂ parallel parallelogram of forces particle path pendulum perpendicular plane perpendicular portion position potential pressure principal axes principle produce projection proportional quantity radius radius of gyration reckoned rectangular 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 theorem theory tion torsion uniform unit vertical whole wire