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Analytical mechanics for students of physics and engineering (1913)

Dadourian, Haroutune Mugurditch, 1878- · New York, D. Van Nostrand Company · leaf 113

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f -Y -t [X cos 62 - vp, sin ei — vr, cos ct - vPl sin f,1 where t is the time taken by the particle to go from Pi to /.■.But as the points Pi and P approach ! as a limit, the follow-ing substitutions become permissible. 96 ANALYTICAL MECHANICS COS €i = COS 62 Sill ei = d, sin e2 = 62. tv, - vry =… … Fig. .58. (XIV) By similar reasoning we obtain the following expressionsfor the transverse acceleration, that is, the component ofthe acceleration along a perpendicular to the radius vector. * See Appendix Avi. MOTION J = limit \Vr*Sm **+ Vpt C°S e2 ~ ^ ~ Vl Sin €l + ^ C0S 6l^l= limit pvfa +…

Mechanics, Analytic

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