Analytical mechanics for students of physics and engineering (1913)
Dadourian, Haroutune Mugurditch, 1878- · New York, D. Van Nostrand company · leaf 324
D itsdistance from the axis. Then the torque equation gives I-^ = -mgD sine, (X) where m is the mass of the body and d the angular displace-ment from the position of equilibrium. PERIODIC MOTION 309 The equation -^ = —k^sinx is not integrable in a finite numberof terms; therefore the solution… … or dt (xo = -c^e, Fig. 137. (X) where c^ mgPI It will 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…
Mechanics, Analytic
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