Elements of Natural Philosophy, Volume 1 |
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Page 92
... which is composed of simple harmonic vibra- tions . If there are degrees of freedom to move , and we consider any system of generalized co - ordinates specifying its position at any time , the deviation of any one of these 92 PRELIMINARY.
... which is composed of simple harmonic vibra- tions . If there are degrees of freedom to move , and we consider any system of generalized co - ordinates specifying its position at any time , the deviation of any one of these 92 PRELIMINARY.
Page 93
... harmonic function ( § 88 ) , composed in general of simple harmonics of incommensurable periods , and therefore ( § 85 ) the whole motion of the system will not recur periodically through the same series of configurations . There are in ...
... harmonic function ( § 88 ) , composed in general of simple harmonics of incommensurable periods , and therefore ( § 85 ) the whole motion of the system will not recur periodically through the same series of configurations . There are in ...
Page 94
... harmonic oscillation , with amplitude decreasing by equal proportions in equal successive intervals of time . But if the resistance exceeds this limit , the system , when displaced from its position of equilibrium and left to itself ...
... harmonic oscillation , with amplitude decreasing by equal proportions in equal successive intervals of time . But if the resistance exceeds this limit , the system , when displaced from its position of equilibrium and left to itself ...
Page 96
... harmonic motion , has , when subject to resistance proportional to its velocity , a motion represented by the resolved part of the spiral motion just described . 296. If a be the constant angle of the spiral , w the angular velocity of ...
... harmonic motion , has , when subject to resistance proportional to its velocity , a motion represented by the resolved part of the spiral motion just described . 296. If a be the constant angle of the spiral , w the angular velocity of ...
Page 97
William Thomson Baron Kelvin, Peter Guthrie Tait. each either simple harmonic with amplitude diminishing according to the law stated above ( § 294 ) , or non - oscillatory , and consisting of equi - proportionate diminutions of the ...
William Thomson Baron Kelvin, Peter Guthrie Tait. each either simple harmonic with amplitude diminishing according to the law stated above ( § 294 ) , or non - oscillatory , and consisting of equi - proportionate diminutions of 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 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