Analytical mechanics for students of physics and engineering (1913)
Dadourian, Haroutune Mugurditch, 1878- · New York, D. Van Nostrand company · leaf 338
imaginary. Let6^ = ioi. Making (XXIII) PERIODIC MOTION 323 where A = 2 iAi. Equation (XXIII) is the integral equa-tion of harmonic motion with the additional factor e~,which is called the damping factor. On account of this factorthe amplitude of the motion continually diminishes. It is evident from… … Fig. 146. damped harmonic motion of a particle may be formed by con-sidering the motion of an auxiliary particle which moves ina logarithmic spiral. If the auxiliary particle describes thelogarithmic spiral of the figure in the counter-clockwise di-rection, in such a way as to give the radius…
Mechanics, Analytic
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