Elements of Natural Philosophy |
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Page 5
... relative motions of all parts of other systems of pulleys and cords as long as all the free parts of the cords are parallel . Of course , if a pulley be fixed , the motion of a point of one end of the cord to or from it involves an ...
... relative motions of all parts of other systems of pulleys and cords as long as all the free parts of the cords are parallel . Of course , if a pulley be fixed , the motion of a point of one end of the cord to or from it involves an ...
Page 17
... Relative merely . We can calculate from astronomical data for any 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 ...
... Relative merely . We can calculate from astronomical data for any 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 ...
Page 18
... relative motion among the stars that we can observe ; and , in all probability , sun and stars are moving on ( it ... relative motions with regard to any one of them ; and how , having given the relative motions of all but one with ...
... relative motion among the stars that we can observe ; and , in all probability , sun and stars are moving on ( it ... relative motions with regard to any one of them ; and how , having given the relative motions of all but one with ...
Page 19
... relative path depends only upon the length and G direction of the line joining the two points at any instant , it is obvious that these will be the same for A with regard to B , as for B with regard to A , saving only the inversion of ...
... relative path depends only upon the length and G direction of the line joining the two points at any instant , it is obvious that these will be the same for A with regard to B , as for B with regard to A , saving only the inversion of ...
Page 22
... relative circles . On CQ and CQ describe a parallelogram SQCO ; and through S draw SR perpendicular to BA ' produced . We have PR CP ( being projections of the equal and parallel lines Q'S , CQ , on CR . Hence CR = CP + CP ' ; and ...
... relative circles . On CQ and CQ describe a parallelogram SQCO ; and through S draw SR perpendicular to BA ' produced . We have PR CP ( being projections of the equal and parallel lines Q'S , CQ , on CR . Hence CR = CP + CP ' ; and ...
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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 cord 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 weight whole wire