Elements of Natural Philosophy |
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Page 20
... simple harmonic motion . 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 ...
... simple harmonic motion . 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 21
... simple harmonic motion at any instant is an expression used to designate the part of its whole period which it has reached . It is borrowed from the popular expression phases of the moon . ' Thus for Simple Harmonic Motion we may call ...
... simple harmonic motion at any instant is an expression used to designate the part of its whole period which it has reached . It is borrowed from the popular expression phases of the moon . ' Thus for Simple Harmonic Motion we may call ...
Page 22
... simple harmonic motion is PQ OQ Vor Ꮴ PQ ; which , when P passes through O , becomes V. 74. The acceleration of a point executing a simple harmonic motion is at any time simply proportional to the displacement from the middle point ...
... simple harmonic motion is PQ OQ Vor Ꮴ PQ ; which , when P passes through O , becomes V. 74. The acceleration of a point executing a simple harmonic motion is at any time simply proportional to the displacement from the middle point ...
Page 23
... motion is simple 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 . This geometrical construction has been usefully ...
... motion is simple 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 . This geometrical construction has been usefully ...
Page 24
... motion is advanced or retarded relatively to that of the larger component ... harmonic motions is to the lunar and solar tides ; which , except in ... simple harmonic motions of any ranges and any periods in lines parallel 24 PRELIMINARY .
... motion is advanced or retarded relatively to that of the larger component ... harmonic motions is to the lunar and solar tides ; which , except in ... simple harmonic motions of any ranges and any periods in lines parallel 24 PRELIMINARY .
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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 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 parallelogram particle path pendulum perpendicular plane perpendicular portion position pressure principal axes principle produce projection proportional quantity radius radius of gyration reckoned rectangular relative 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