Elements of Natural Philosophy |
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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 ...
... 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 ...
Page 13
... instant ; and there being no velocity perpendicular to this plane at starting , there is therefore none throughout the motion ; thus the point moves in the plane . For the proof of the second part of the proposition we must make a ...
... instant ; and there being no velocity perpendicular to this plane at starting , there is therefore none throughout the motion ; thus the point moves in the plane . For the proof of the second part of the proposition we must make a ...
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 . As the kinematical propositions with which we are dealing have important bearings on Physical Astronomy ...
... instant gives double the area described in one second about the fixed point , which has just been shown to be a constant quantity . As the kinematical propositions with which we are dealing have important bearings on Physical Astronomy ...
Page 15
... 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. In the case of a projectile ( § 44 ) , the horizontal component of the velocity is ...
... 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. In the case of a projectile ( § 44 ) , the horizontal component of the velocity is ...
Page 16
... 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 ...
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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 corresponding 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 formulae friction geometrical given force Hence hodograph horizontal inclined infinitely small instant inversely kinetic energy length magnitude mass matter measured moment of inertia momentum moving normal section P₁ parallel parallelogram particle path pendulum perpendicular plane perpendicular portion position pressure principal axes principle produce projection proportional quantity radius radius of gyration reckoned rectangular relative 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 tion torsion uniform unit vertical vibrations weight whole wire