Elements of Natural Philosophy, Part 1 |
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Page 19
... harmonic motion . Α ' 0 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 its ...
... harmonic motion . Α ' 0 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 its ...
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 Displacement Q02 T2 where T is the time of describing the circle , or the period of the harmonic motion . S R 75. Any two simple harmonic motions in one line , and of one period , give , when compounded , a single simple ...
... harmonic motion Displacement Q02 T2 where T is the time of describing the circle , or the period of the harmonic motion . S R 75. Any two simple harmonic motions in one line , and of one period , give , when compounded , a single simple ...
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 Cambridge 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 ellipsoid elongation equal equations equilibrium external 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 Octavo P. G. TAIT P₁ P₂ parallel particle path pendulum perpendicular plane 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 theorem theory tion torsion uniform unit vertical whole wire
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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.