An elementary treatise on analytic mechanics : With numerous examples (1912)
Bowser, Edward A. (Edward Albert), 1845-1910 · New York : D. Van Nostrand · leaf 364
le is com-pelled to move when acted upon by any given forces. LetOx and Oy be the rectangular axes in the plane of the 346 KINETIC ENER G 1. curve, the axis y positive up-wards, and (x, y) the place ofthe particle, P, at the time t;let X, Y, parallel respectively tothe axes of x and y, be the… … Fig.83 d2x v ndy (1) d& £ = Y + E dxds (3) Multiplying (1) and (2) respectively by dx and dy, andadding, we have m- dx d2x -f- dy d2y dP = Xdx + Ydy. Integrating between the limits t and tQf and calling vQ theinitial velocitv, we have *-%vt*=f(Xdx+Tds) (3) iffiThe term — v2 is called the vis…
Mechanics, Analytic
Internet Archive · California Digital Library · Public Domain Mark 1.0. Free to use for anything.
