Elements of Natural Philosophy, Part 1 |
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Page 8
... resultant velocity in magnitude A and direction . OC is evidently the diagonal of the parallelogram two of whose sides are OA , OB . Hence the resultant of any two velocities as OA , AC , in the figure , is a velocity represented by the ...
... resultant velocity in magnitude A and direction . OC is evidently the diagonal of the parallelogram two of whose sides are OA , OB . Hence the resultant of any two velocities as OA , AC , in the figure , is a velocity represented by the ...
Page 10
... resultant of the acceleration thus measuring change of direction and the ac- celeration of actual velocity along the curve . 40. If for any case of motion of a point we have given the whole velocity and its direction , or simply the ...
... resultant of the acceleration thus measuring change of direction and the ac- celeration of actual velocity along the curve . 40. If for any case of motion of a point we have given the whole velocity and its direction , or simply the ...
Page 13
... resultant velocity of a par- ticle about any point in the plane of the components is equal to the algebraic sum of the moments of the components , the proper sign of each moment depending on the direction of motion about the point . The ...
... resultant velocity of a par- ticle about any point in the plane of the components is equal to the algebraic sum of the moments of the components , the proper sign of each moment depending on the direction of motion about the point . The ...
Page 17
... resultant again we may compound with the ( roughly - known ) velocity of the sun relatively to the so - called fixed stars ; but , even if all these elements were accurately known , it could not be said that we had attained any idea of ...
... resultant again we may compound with the ( roughly - known ) velocity of the sun relatively to the so - called fixed stars ; but , even if all these elements were accurately known , it could not be said that we had attained any idea of ...
Page 19
... resultant of these several movements . The relative position , velocity , and acceleration are in such a case the geometrical resultants of the various components combined according to preceding rules . 68. The following practical ...
... resultant of these several movements . The relative position , velocity , and acceleration are in such a case the geometrical resultants of the various components combined according to preceding rules . 68. The following practical ...
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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