Analytical mechanics for students of physics and engineering (1913)
Dadourian, Haroutune Mugurditch, 1878- · New York, D. Van Nostrand Company · leaf 316
e period. PERIODIC MOTION 299 But since sin 0 is a periodic function of 6 witji a period of 2 tt,we have sin 0 = sin (d+2ir), t herefore x= a sin [« (< + P) + 5 ] = a sin M + 5 + 2 tt] 2tt and consequently P = (IV) 231. Frequency. — The number of complete vibrationswhich the particle makes per… … Fig. L31. which is the fixed point. Then OA = OA = a = the ampli-tude. The relation between the position of the particle andthe time may be visualized by plotting equation (III) withx as ordinate and t as abscissa. This gives the well-knownsine curve. A mental picture of the motion of the particle…
Mechanics, Analytic
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