Analytical mechanics, comprising the kinetics and statics of solids and fluids (1911)
Barton, Edwin Henry · London, Longmans · leaf 60
ly.Further, it may be seen from (8) that 0=(a-f-/3)/2 when a = b. For more than two collinear vibrations of same period we see from(5) and (6) that it is easy to generalise and write rsin # = 2rtsina (9) and rcos6=^acosa (10;. the component amplitudes and phases being denoted respectively by«n… … Fig. 9. Graphical Composi-tion OF TWO COLLINEAR Vibrations. 32. Graphical Composition.—The composition of collinear vibra-tions may be illustrated or performed graphically, and this view of thematter well deserves notice. Fig. 9 illustrates the composition of two simple harmonic motionssupposed to…
Mechanics
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