Mechanics of engineering (solids) : comprising statics and kinetics of solids, and the mechanics of the materials of construction, or strength and elasticity of beams, columns, shafts, arches, etc. : for use in technical schools (1911)
Church, Irving P. (Irving Porter), 1851-1931 · New York : Wiley ; London : Chapman & Hall · leaf 64
it, 0 be the vertex of thecurve in which the cord hangs, andm any point. We may considerthe portion Om as a free body, ifthe reactions of the contiguous portions of the cord are put in,H^ and T, and these (from Prin. I.) must act along the tangentsto the curve at 0 and m, respectively; i.e., ZTq is… … (2)qx dy = -^xdx, the differential equation of the curve; dyDividing (2) by (1), member by member, we have 3- = H, or x y, the equation 01 a parabola whosfe vertex is at 0 and axis vertical. ■^ * dv ox NoTB.—The same result, -^ = 4--, mav be obtained by considering tliatdx //o • we have here (Prin.…
Mechanics, Applied · Strength of materials
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