Analytical mechanics for students of physics and engineering (1913)
Dadourian, Haroutune Mugurditch, 1878- · New York, D. Van Nostrand company · leaf 332
.Dcosl. 2 PERIODIC MOTION 317 Substituting this value of G in the torque equation we have T dca _ „_. d 7 -T- = - 2 FD COS - dt 2 = -2rDsin0cos^. First Approximation. —When d and ^ are small the fol-lowing relations give close enough ap-proximations. T=^mg, cos 2 = 1- De=lct>* sin0 = 0=-Te.… … Fig. 143. e T COS <l)=^mg and ea= Zsin0= 2Dsin- Thereforeand . ^ 2D . d sin<^= -^sm- _, mg 2cos^ mg Vi-t#^ ~B sm^ 12 — 2* The line ea is considered as an arc of each of two circles with centers at g and c- 318 ANALYTICAL MECHANICS Making these substitutions in the torque equation we obtain e…
Mechanics, Analytic
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