Elements of Natural Philosophy, Volume 1 |
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Page 10
... effect of the acceleration will be to make the point move in a curve whose curvature is proportional to the acceleration at each instant , and inversely as the square of the velocity . 39. In other words , if a point move in a curve ...
... effect of the acceleration will be to make the point move in a curve whose curvature is proportional to the acceleration at each instant , and inversely as the square of the velocity . 39. In other words , if a point move in a curve ...
Page 18
... effect of this being to bring the first to rest , and to give the second a southward velocity of eighty miles an hour , which is the required relative motion . Or , given one train moving north at the rate of thirty miles an hour , and ...
... effect of this being to bring the first to rest , and to give the second a southward velocity of eighty miles an hour , which is the required relative motion . Or , given one train moving north at the rate of thirty miles an hour , and ...
Page 30
... 91 gives us at once the point 0 and the amount of rotation about it which singly gives the same effect as those about A and B in succession . But there is one case of Α ' A B B exception , viz . when 30 PRELIMINARY .
... 91 gives us at once the point 0 and the amount of rotation about it which singly gives the same effect as those about A and B in succession . But there is one case of Α ' A B B exception , viz . when 30 PRELIMINARY .
Page 44
... effect is , in this case , merely an alteration of dimensions without change of figure of any part . 144. The principal axes of a strain are the principal axes of the ellipsoid into which it converts a sphere . The principal elongations ...
... effect is , in this case , merely an alteration of dimensions without change of figure of any part . 144. The principal axes of a strain are the principal axes of the ellipsoid into which it converts a sphere . The principal elongations ...
Page 55
... effect as is really produced . ( c ) The third element in the specification of a force is its magnitude . This involves a consideration of the method followed in dynamics for measuring forces . Before measuring anything it is necessary ...
... effect as is really produced . ( c ) The third element in the specification of a force is its magnitude . This involves a consideration of the method followed in dynamics for measuring forces . Before measuring anything it is necessary ...
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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