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 93
^and IT being perpendicular toeach other. Fig. 79. In twoconsecutive equal times (eachdt), let dx and dx = smallspaces due to the JT motion;and dy and CIS = dy\ due tothe Y motion. Then ds andds are two consecutive elementsFiQ. 79. of the curvilinear motion. Pro- long ds, making BE= ds; then .£7^=… … £ \ dx w« = dydV dt df _ dv^ _ dx , _ dvy dy dt = dt ^~ dt ~ de ^^^^y --Tf--^ For tlie velocity along the curve (i.e., tangent)=■ ds-^ dt, we slinll have, since ds = dx -(- dy,ds\ /dx\ . nh/^ dt = f dt) + \dtl = •/ + Vy (1) CURVILINEAR MOTION OF A MATERIAL POINT. 75 Hence v is the diagonal formed…
Mechanics, Applied · Strength of materials
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