Analytical mechanics for students of physics and engineering (1913)
Dadourian, Haroutune Mugurditch, 1878- · New York, D. Van Nostrand company · leaf 111
cos ei — Vp, sin ei| (=0 L t J where t is the time taken by the particle to go from Pi to P2.But as the points Pi and P2 approach P as a limit, the follow-ing substitutions become permissible. 96 ANALYTICAL MECHANICS COS «i = COS 62 = 1*, sin ei = ei, sin 62 = 62. Vr, - Vry = AVr, Vp^ = Vp, = Vp,… … Fig. 58. 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 97 J = limit P ^^ * ^ ^ ^^ ^ ~ (~ ^•- ^^^ ^1 +^ ^^ ^i)] «=o L < J = limit h^^^ +…
Mechanics, Analytic
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