Elements of Natural Philosophy, Volume 1 |
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Page 8
... resultant velocity in magnitude B 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 ...
... resultant velocity in magnitude B 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 ...
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 cloth co-ordinates component configuration consider constant cosine couple curvature curve cylinder denote density described diagram displacement distance elements ellipse ellipsoid elongation equal equations equilibrium external point Extra fcap finite 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 Natural Philosophy normal section Oxford P₁ parallel particle path pendulum perpendicular portion position potential pressure principal axes principle produce projection proportional quantity radius radius of gyration reckoned rectangular resultant 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 theory tion torsion uniform unit vertical whole wire
Popular passages
Page 161 - that every particle of matter in the universe attracts every other particle, with a force whose direction is that of the line joining the two, and whose magnitude is directly as the product of their masses, and inversely as the square of their distances from each other.
Page 65 - Every body continues in its state of rest or of uniform motion in a straight line, except in so far as it is compelled by force to change that state.
Page 28 - Fourier's theorem is not only one of the most beautiful results of modern analysis, but may be said to furnish an indispensable instrument in the treatment of nearly every recondite question in modern physics.
Page 161 - Newton generalized the law of attraction into a statement that every particle of matter in the universe attracts every other particle with a force which varies directly as the product of their masses and inversely as the square of the distance between them; and he thence deduced the law of attraction for spherical shells of constant density.
Page 66 - Change of motion is proportional to the impressed force and takes place in the direction of the straight line in which the force acts.
Page 68 - To every action there is always an equal and contrary reaction; or, the mutual actions of any two bodies are always equal and oppositely directed in the same straight line.
Page 130 - UNTIL we know thoroughly the nature of matter and the forces which produce its motions, it will be utterly impossible to submit to mathematical reasoning the exact conditions of any physical question.