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Analytical mechanics for students of physics and engineering (1913)

Dadourian, Haroutune Mugurditch, 1878- · New York, D. Van Nostrand company · leaf 337

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ionis brought out by the graphof equation (XXII), Fig.145. The graph is easilyobtained by drawing thedotted curves, which are _plotted by considering the °terms of the right-handmember of equation (XXII)separately, and then addingthem geometrically. It isevident from the curve thatthe value of 6… … Fig. 145. Then Va^ this substitution in equation (XXI) we obtain0= Aie-°(e*-e-0= Aie~ * •2i sin wt *= Ae~ * sm. oit, * See Appendix Avii. h^ is imaginary. Let6^ = ioi. Making (XXIII) PERIODIC MOTION 323 where A = 2 iAi. Equation (XXIII) is the integral equa-tion of harmonic motion with the…

Mechanics, Analytic

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