Elements of Natural Philosophy, Volume 1 |
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Page 19
... harmonic motion . A D Α ' Thus , if a planet or satellite , or one of the constituents of a double star , be supposed to move uniformly in a circular orbit about its primary , and be viewed from a very distant position in the plane of ...
... harmonic motion . A D Α ' Thus , if a planet or satellite , or one of the constituents of a double star , be supposed to move uniformly in a circular orbit about its primary , and be viewed from a very distant position in the plane of ...
Page 20
... harmonic motion . [ The distance of a point , performing a simple harmonic motion , from the middle of its course or range , is a simple harmonic function of the time . The argument of this function is what we have defined as the ...
... harmonic motion . [ The distance of a point , performing a simple harmonic motion , from the middle of its course or range , is a simple harmonic function of the time . The argument of this function is what we have defined as the ...
Page 21
... harmonic motion is at any time simply proportional to the displacement from the middle point , but in opposite ... harmonic motion Acceleration V2 472 = = Displacement Qo2 T2 where T is the time of describing the circle , or the period ...
... harmonic motion is at any time simply proportional to the displacement from the middle point , but in opposite ... harmonic motion Acceleration V2 472 = = Displacement Qo2 T2 where T is the time of describing the circle , or the period ...
Page 22
... harmonic , of amplitude CS , and of epoch exceeding that of the motion of P , and falling short of that of the motion of P ' , by the angles QCS and SCQ ' respectively . 76. [ The construction described in the preceding section exhibits ...
... harmonic , of amplitude CS , and of epoch exceeding that of the motion of P , and falling short of that of the motion of P ' , by the angles QCS and SCQ ' respectively . 76. [ The construction described in the preceding section exhibits ...
Page 23
... harmonic motions in one line by curves in which the abscissae represent intervals of time , and the ordinates the corresponding distances of the moving point from its mean position . In the case of a single simple harmonic motion , the ...
... harmonic motions in one line by curves in which the abscissae represent intervals of time , and the ordinates the corresponding distances of the moving point from its mean position . In the case of a single simple harmonic motion , the ...
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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.