Elements of Natural Philosophy |
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Page 6
... given time is greater or less : and it may be uniform , i.e. the same at every instant ; or it may be variable . Uniform velocity is measured by the space passed over in unit of time , and is , in general , expressed in feet or in ...
... given time is greater or less : and it may be uniform , i.e. the same at every instant ; or it may be variable . Uniform velocity is measured by the space passed over in unit of time , and is , in general , expressed in feet or in ...
Page 7
... given ; or we may express the same ideas thus the train is moving simultaneously northward , eastward , and upward - and the motion as to amount and direction will be completely known if we know separately the northward , east- ward ...
... given ; or we may express the same ideas thus the train is moving simultaneously northward , eastward , and upward - and the motion as to amount and direction will be completely known if we know separately the northward , east- ward ...
Page 8
... given velocities - and similarly OB for the second ; from A draw AC parallel and equal to OB . Join OC : then OC is the resultant velocity in magnitude OC is evidently the diagonal of the parallelogram two of whose sides are OA , OB ...
... given velocities - and similarly OB for the second ; from A draw AC parallel and equal to OB . Join OC : then OC is the resultant velocity in magnitude OC is evidently the diagonal of the parallelogram two of whose sides are OA , OB ...
Page 9
... given , thus : -Acceleration is the rate of change of velocity whether that change take place in the direction of motion or not . 35. What is meant by change of velocity is evident from § 31 . For if a velocity OA become OC , its change ...
... given , thus : -Acceleration is the rate of change of velocity whether that change take place in the direction of motion or not . 35. What is meant by change of velocity is evident from § 31 . For if a velocity OA become OC , its change ...
Page 11
... given , provided the velocity and its direction , as well as the position of the point , at any one instant be given . But these are , in general , questions requiring for their solution a knowledge of the integral calculus . 41. From ...
... given , provided the velocity and its direction , as well as the position of the point , at any one instant be given . But these are , in general , questions requiring for their solution a knowledge of the integral calculus . 41. From ...
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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 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 vibrations weight whole wire