Elements of Natural Philosophy, Volume 1 |
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Page 28
... relative positions are unalterable . The simplest case we can consider is that of the motion of a plane figure in its own plane , and this , as far as kinematics is concerned , is entirely summed up in the result of the next section ...
... relative positions are unalterable . The simplest case we can consider is that of the motion of a plane figure in its own plane , and this , as far as kinematics is concerned , is entirely summed up in the result of the next section ...
Page 38
... relative velocity at the point of contact , must be rolling or spinning , separately or combined . Let one of the bodies rotate about successive instantaneous axes , all lying in the common tangent plane at the point of instantaneous ...
... relative velocity at the point of contact , must be rolling or spinning , separately or combined . Let one of the bodies rotate about successive instantaneous axes , all lying in the common tangent plane at the point of instantaneous ...
Page 43
... relative motions . 136. If , when the matter occupying any space is strained in any way , all pairs of points of its substance which are initially at equal distances from one another in parallel lines remain equidistant , it may be at ...
... relative motions . 136. If , when the matter occupying any space is strained in any way , all pairs of points of its substance which are initially at equal distances from one another in parallel lines remain equidistant , it may be at ...
Page 46
... relative motion . It has ( 1 ) the property that one set of parallel planes remain each unaltered in itself ; ( 2 ) L ΖΑ that another set of parallel planes remain each unaltered in itself . This other set is got when the first set and ...
... relative motion . It has ( 1 ) the property that one set of parallel planes remain each unaltered in itself ; ( 2 ) L ΖΑ that another set of parallel planes remain each unaltered in itself . This other set is got when the first set and ...
Page 47
... relative motion per unit distance between planes of no distortion . It is easily proved that this is equal to the excess of the ratio of the shear above its reciprocal . 155. The planes of no distortion in a simple shear are clearly the ...
... relative motion per unit distance between planes of no distortion . It is easily proved that this is equal to the excess of the ratio of the shear above its reciprocal . 155. The planes of no distortion in a simple shear are clearly the ...
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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