Elements of Natural Philosophy, Volume 1 |
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Page 36
... denote a plane of the body , the two positions of which are parallel . Move the body from its first position , without rotation , in a direction perpendicular to S , till S comes into the plane of its second position . Then to get the ...
... denote a plane of the body , the two positions of which are parallel . Move the body from its first position , without rotation , in a direction perpendicular to S , till S comes into the plane of its second position . Then to get the ...
Page 38
... denoted by is the angular velocity of the precession , or , as it is sometimes called , the rate of precession . The angular motions , are to one another inversely as the distances of a point in the axis of the rolling cone from the in ...
... denoted by is the angular velocity of the precession , or , as it is sometimes called , the rate of precession . The angular motions , are to one another inversely as the distances of a point in the axis of the rolling cone from the in ...
Page 82
... are equalized they move as one mass with a momentum equal to the sum of the momenta of the two before impact . That is to say , if v denote the common velocity at this instant , we have ( M + M ' ) v = MV + 82 PRELIMINARY .
... are equalized they move as one mass with a momentum equal to the sum of the momenta of the two before impact . That is to say , if v denote the common velocity at this instant , we have ( M + M ' ) v = MV + 82 PRELIMINARY .
Page 83
... denote this proportion , to which we give the name Co - efficient of Restitution1 ; and , with previous nota- tion , let in addition U , U denote the velocities of the two bodies after the conclusion of the impact ; in the standard case ...
... denote this proportion , to which we give the name Co - efficient of Restitution1 ; and , with previous nota- tion , let in addition U , U denote the velocities of the two bodies after the conclusion of the impact ; in the standard case ...
Page 99
... denotes the radius of that circle , w the angular velocity W a ' in it , and b the radius of the circular cross section of the ring . This is proved by remarking that an infinitely narrow band from the outer- most part of the ring has ...
... denotes the radius of that circle , w the angular velocity W a ' in it , and b the radius of the circular cross section of the ring . This is proved by remarking that an infinitely narrow band from the outer- most part of the ring has ...
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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