Elements of Natural Philosophy, Volume 1 |
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Page 16
... Angular Velocity of the first point about the second . If uniform , it is of course measured by the angle described in unit of time ; if variable , by the angle which would have been described in unit of time if the angular velocity at ...
... Angular Velocity of the first point about the second . If uniform , it is of course measured by the angle described in unit of time ; if variable , by the angle which would have been described in unit of time if the angular velocity at ...
Page 17
... angular . velocity evidently diminishes as it recedes from the point about which the angles are measured , and it may easily be shown that it varies inversely as the square of the distance from this point . The same proposition is true ...
... angular . velocity evidently diminishes as it recedes from the point about which the angles are measured , and it may easily be shown that it varies inversely as the square of the distance from this point . The same proposition is true ...
Page 20
... angular reck- oning of it , measured from any fixed point to the uniformly moving point Q , is the Argument of the ... angular measure is the angle described on the circle of reference in the period of time defined as the epoch . [ In ...
... angular reck- oning of it , measured from any fixed point to the uniformly moving point Q , is the Argument of the ... angular measure is the angle described on the circle of reference in the period of time defined as the epoch . [ In ...
Page 21
... angular motion of the treadle and of the connecting string . It is also approximated to more or less closely in the motion of the piston of a steam - engine connected , by any of the several methods in use , with the crank , provided ...
... angular motion of the treadle and of the connecting string . It is also approximated to more or less closely in the motion of the piston of a steam - engine connected , by any of the several methods in use , with the crank , provided ...
Page 22
... Hence CR CP + CP ' ; and therefore the point R executes the resultant of the motions P and P. But CS , the diagonal of the parallelogram , is constant B B ' = ( since the angular velocities of CQ and CQ are 22 PRELIMINARY .
... Hence CR CP + CP ' ; and therefore the point R executes the resultant of the motions P and P. But CS , the diagonal of the parallelogram , is constant B B ' = ( since the angular velocities of CQ and CQ are 22 PRELIMINARY .
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Common terms and phrases
acceleration action amount angular velocity anticlastic attraction axis called 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 particle path pendulum perpendicular plane perpendicular portion position 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 tion torsion uniform unit vertical weight whole wire