Analytical mechanics for students of physics and engineering (1913)
Dadourian, Haroutune Mugurditch, 1878- · New York, D. Van Nostrand Company · leaf 321
simple harmonic forces.Then the motion which will result when the turn- adsimultaneously is obtained by adding equations (1) and (2). Thus X = X\ + = Oi sin (ojt + Si) -f Ch sin (at + 5>). 304 ANALYTICAL MECHANICS Expanding the right-hand member of the last equation andrearranging the terms we… … Fig. 134. It is evident from equation (3) that the resulting motion issimple harmonic and has the same period as the componentmotion-. Squaring the last two equations and adding we obtainthe amplitude of the motion in terms of the constants ofequations (1) and (2). Thus a- = ar + o22 + 2 axa2 cos…
Mechanics, Analytic
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