Elements of Natural Philosophy, Part 1 |
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Page 11
... instant , or simply its rectangular components , be given , provided the velocity and its direction , as well as the position of the point , at any one instant be given . But these are in general questions requiring for their solution a ...
... instant , or simply its rectangular components , be given , provided the velocity and its direction , as well as the position of the point , at any one instant be given . But these are in general questions requiring for their solution a ...
Page 12
... the line of motion of the moving point at any instant ; and there being no velocity perpendicular to this plane at starting , there is therefore none throughout the motion ; For the proof of the second a slight digression . 12 PRELIMINARY .
... the line of motion of the moving point at any instant ; and there being no velocity perpendicular to this plane at starting , there is therefore none throughout the motion ; For the proof of the second a slight digression . 12 PRELIMINARY .
Page 14
... instant gives double the area described in one second about the fixed point , which has just been shown to be a constant quantity . Other examples of these principles will be met with in the chapters on Kinetics . 49. If , as in § 35 ...
... instant gives double the area described in one second about the fixed point , which has just been shown to be a constant quantity . Other examples of these principles will be met with in the chapters on Kinetics . 49. If , as in § 35 ...
Page 15
... instant is called the Angular Velocity of the first point about the second . If uniform , it is of course measured by the angle described in unit of time ; if variable , by the angle which would have been described in unit of time if ...
... instant is called the Angular Velocity of the first point about the second . If uniform , it is of course measured by the angle described in unit of time ; if variable , by the angle which would have been described in unit of time if ...
Page 17
... 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 calculable ) velocity of the earth in its orbit . This resultant again we ...
... 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 calculable ) velocity of the earth in its orbit . This resultant again we ...
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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