Elements of Natural Philosophy, Volume 1 |
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Page 15
... velocity parallel to the radius - vector is therefore ON , and the velocity perpendicular to the fixed line ON ОА PM AP OA is PM . But = constant . 0 N Hence , in the orbit , the velocity along the radius - vector is pro- portional to ...
... velocity parallel to the radius - vector is therefore ON , and the velocity perpendicular to the fixed line ON ОА PM AP OA is PM . But = constant . 0 N Hence , in the orbit , the velocity along the radius - vector is pro- portional to ...
Page 16
... velocity and acceleration . We may also speak of the angular velocity of a moving plane with respect to a fixed one , as the rate of increase of the angle contained by them ; but unless their line of intersection remain fixed , or at ...
... velocity and acceleration . We may also speak of the angular velocity of a moving plane with respect to a fixed one , as the rate of increase of the angle contained by them ; but unless their line of intersection remain fixed , or at ...
Page 17
... velocity . Hence the arc of PQ , described in any time , is proportional to the corresponding angle - vector in the ... velocity with which , we are moving on account of the earth's diurnal rotation . We may compound this with the ...
... velocity . Hence the arc of PQ , described in any time , is proportional to the corresponding angle - vector in the ... velocity with which , we are moving on account of the earth's diurnal rotation . We may compound this with the ...
Page 18
... velocity of fifty , the other of thirty , miles an hour . The 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 ...
... velocity of fifty , the other of thirty , miles an hour . The 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 ...
Page 19
... 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 simple case of the ...
... 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 simple case of the ...
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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