Analytical mechanics for students of physics and engineering (1913)
Dadourian, Haroutune Mugurditch, 1878- · New York, D. Van Nostrand Company · leaf 326
orque equation gives /^ = -mgDBmd, (X) where m is the mass of the body and 0 the angular displace-ment from the position of equilibrium. (9) x = a cos [cot — J and y = b cos ( cot + - PERIODIC MOTION 309 The equation —:T = -k-sinx isar not integrable in a finite number of terms; therefore the… … dt mgDd, (X) Fig. 137. dt (X) where mgDI It be observed that the last two equations are of the same type as equations (I) and (II) ofp. 297, the differential equations of simple harmonic motion.Therefore the motion of the physical pendulum is approxi-mately harmonic. Hence we can apply to the…
Mechanics, Analytic
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