Analytical mechanics for students of physics and engineering (1913)
Dadourian, Haroutune Mugurditch. [from old catalog] · New York, D. Van Nostrand company · leaf 70
e whichis under consideration 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 P.Since the cable is perfectly flexible T0 and T are tangent tothe curve. Therefore we have 2X= -T0 +… … 2 _ JV -\-w2s Eliminating T between equations (1) and (2) we get To IV s = tan0, (3) (4) which is the intrinsic equation of the curve. 64 ANALYTICAL MECHANICS In order to express equation (4) in terms of rectangular coordinates we replace tan 0 by -^ and obtain dx s = w dx (5) But ds2= dx2 + dy2,…
Mechanics, Analytic
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