Elements of Natural Philosophy, Volume 1 |
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Page 38
... 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 39
... the precession in any such case . What we have 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 KINEMATICS . 39.
... the precession in any such case . What we have 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 KINEMATICS . 39.
Page 88
... denote this proportion , to which we give the name Coefficient of Restitution ' ; 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 Coefficient of Restitution ' ; 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 105
... denotes the radius of that circle , w the angular velocity 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 , at ...
... denotes the radius of that circle , w the angular velocity 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 , at ...
Page 107
... denoted simply by the terminal letters , taken in the order of the motion . Thus OR will denote the action from 0 to R ; and therefore OR = -RO . When there are more real natural courses from 0 to R than one , the analytical expression ...
... denoted simply by the terminal letters , taken in the order of the motion . Thus OR will denote the action from 0 to R ; and therefore OR = -RO . When there are more real natural courses from 0 to R than one , the analytical expression ...
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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