Analytical mechanics for students of physics and engineering (1913)
Dadourian, Haroutune Mugurditch, 1878- · New York, D. Van Nostrand company · leaf 78
from two points.Let AOB, Fig. 42, be the curve.Consider the equilibrium ofthat part of the cable whichis between the lowest point0 and any other point P.The part of the cable whichis imder consideration isacted upon by the following three forces: The tensile force at the point 0, To. The tensile… … HY^—ws+Tsin e = 0, or Tsmd = ws, (2) where w is the weight per unit length of the cable and s isthe length of OP. Squaring equations (1) and (2) and adding we obtain T^=To^ + w^s\ (3) Eliminating T between equations (1) and (2) we get s= — tan 6,w (4) which is the intrinsic equation of the curve.…
Mechanics, Analytic
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