Analytical mechanics for students of physics and engineering (1913)
Dadourian, Haroutune Mugurditch, 1878- · New York, D. Van Nostrand company · leaf 81
has aninteresting property, namely,its ordinate is doubled everytime a constant value P isadded to its abscissa. Thisconstant is called the half-valueperiod of the curve. The valueof P may be determined inthe following manner. By thedefinition of P and from equa-tion (15) we have 2 y = -e Dividing… … x+i» (16) = a; + - 1 3 a^ ^2 ■ ha^^ (17)(18) 2.3 a 2.3-4where the right member of equation (18) is obtained byexpanding the right-hand member of equation (17) byMaclaurins Theorem. If D and L denote the span and the length of the cable,respectively, we have & = \L when x = | D.…
Mechanics, Analytic
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