Martin, Louis Adolphe, 1880- · New York, J.Wiley & Sons, Inc.: [etc. etc.] · leaf 114
curve in which a uniform flex-ible cable hangs when referred to the axes of x and y, asshown. The portion of the cable between the points (o, o) and(x, y) is in equilibrium under the forces H, T, and ws,where w is the weight of the cable per foot of length ands is the length of cable between (o, o)… … Fig. 72 Thus we assume that H = wm. The triangle of forces shows that T = wVs^ + m, and that the slope of the tangent at (x, y) equalsws _ 5_•wm m The slope of the curve at {x, y) also equals dx v/-(f dxds expressed in terms of x and s. Thus, the differential equation of the curve expressedin terms…
Mechanics
Internet Archive · Cornell University Library · Public Domain Mark 1.0. Free to use for anything.
