Elements of Natural Philosophy, Volume 1 |
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Page 4
... remains constant , however the line be bent . 17. The use of a cord in mechanism presents us with many practical applications of this theory , which are in general extremely simple ; although curious , and not always very easy ...
... remains constant , however the line be bent . 17. The use of a cord in mechanism presents us with many practical applications of this theory , which are in general extremely simple ; although curious , and not always very easy ...
Page 9
... remain unchanged , yet if its di- rection of motion change , the resolved parts of its velocity in fixed directions will , in general , be accelerated . And as acceleration is merely a change of the component velocity in a stated ...
... remain unchanged , yet if its di- rection of motion change , the resolved parts of its velocity in fixed directions will , in general , be accelerated . And as acceleration is merely a change of the component velocity in a stated ...
Page 12
... remains unchanged ; and therefore , in time t , a space Vt is described parallel to this line . But in the same interval , by the above reasoning , we see that a space at2 is described parallel to the direction of acceleration . C Ꭺ P ...
... remains unchanged ; and therefore , in time t , a space Vt is described parallel to this line . But in the same interval , by the above reasoning , we see that a space at2 is described parallel to the direction of acceleration . C Ꭺ P ...
Page 16
... remain fixed , or at all events parallel to itself , a somewhat more laboured statement is required to give a complete specification of the motion . 55. The unit angular velocity is that of a point which describes , or would describe ...
... remain fixed , or at all events parallel to itself , a somewhat more laboured statement is required to give a complete specification of the motion . 55. The unit angular velocity is that of a point which describes , or would describe ...
Page 18
... remain the same with regard to it as before . Thus , to take a very simple example , two trains are running in opposite directions , say north and south , one with a velocity of fifty , the other of thirty , miles an hour . The relative ...
... remain the same with regard to it as before . Thus , to take a very simple example , two trains are running in opposite directions , say north and south , one with a velocity of fifty , the other of thirty , miles an hour . The relative ...
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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