Analytical mechanics for students of physics and engineering (1913)
Dadourian, Haroutune Mugurditch, 1878- · New York, D. Van Nostrand Company · leaf 80
deration isacted upon by the following three forces: The tensile force at the point 0, T0. The tensile force at the point P, T. The weight of the cable between the points 0 and /.Since the cable is perfectly flexible T0 and T are tangent tothe curve. Therefore we have ZX = - T0 + T cos 6 = 0, or T… … Eliminating T between equations (1) and (2) w< s = - tan 9,which is the intrinsic equation of the curve. I C4 ANALYTICAL MECHANICS In order to express equation (4) in terms of rectangular coordinates we replace tan 0 by -g and obtainw dx (5) But ds2= dx2-\-dy2, therefore eliminating dx between…
Mechanics, Analytic
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