Elements of Natural Philosophy, Volume 1 |
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Page 59
... that a point whose distance from three rectangular planes fulfils this condition , must fulfil this condition also for every other plane . The co - ordinates of the centre of inertia , DYNAMICAL LAWS AND PRINCIPLES . 59.
... that a point whose distance from three rectangular planes fulfils this condition , must fulfil this condition also for every other plane . The co - ordinates of the centre of inertia , DYNAMICAL LAWS AND PRINCIPLES . 59.
Page 60
William Thomson Baron Kelvin, Peter Guthrie Tait. The co - ordinates of the centre of inertia , of masses w1 , w2 , etc. , at points ( x , Y1 , Z1 ) , ( X2 , Y2 , 2 ) , etc. , are given by the following formulae : - w1x1 + w2x2 + etc ...
William Thomson Baron Kelvin, Peter Guthrie Tait. The co - ordinates of the centre of inertia , of masses w1 , w2 , etc. , at points ( x , Y1 , Z1 ) , ( X2 , Y2 , 2 ) , etc. , are given by the following formulae : - w1x1 + w2x2 + etc ...
Page 74
... co - ordinates of one of these points relatively to lines of reference in fixed directions through the other . It will therefore , in general , depend on three independent co - ordi- nates , which we may conveniently take as the ...
... co - ordinates of one of these points relatively to lines of reference in fixed directions through the other . It will therefore , in general , depend on three independent co - ordi- nates , which we may conveniently take as the ...
Page 89
... co - ordinates specifying the initial configuration , is equal to the corresponding ( generalized ) com- ponent momentum of the actual motion from that configuration : the rate of increase of the action per unit increase of any one of ...
... co - ordinates specifying the initial configuration , is equal to the corresponding ( generalized ) com- ponent momentum of the actual motion from that configuration : the rate of increase of the action per unit increase of any one of ...
Page 92
... co - ordinates , per unit of increase of any other co- ordinate , is equal to the rate of increase of the component momentum relative to the latter per unit increase or diminution of the former co - ordinate , according as the two co - ...
... co - ordinates , per unit of increase of any other co- ordinate , is equal to the rate of increase of the component momentum relative to the latter per unit increase or diminution of the former co - ordinate , according as the two co - ...
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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