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An elementary treatise on analytic mechanics : With numerous examples (1912)

Bowser, Edward A. (Edward Albert), 1845-1910 · New York : D. Van Nostrand · leaf 239

An illustration from An elementary treatise on analytic mechanics : With numerous examples, 1912, leaf 239
lplane passing through A andB, which may be taken to bethe plane of the paper LetC be the lowest point of thecatenary; take this as theorigin of co-ordinates, andlet the horizontal linethrough O be taken for theaxis of x, and the verticalline through C for the axis of y. Let (x, y) be any point,P,… … * The weight of a unit of length of the cord being here taken as the unit ofweight. 222 THE COMMON CATENARY. Then the arc, CP, after it has assumed its permanentform of equilibrium, may be considered as a rigid bodykept at rest by three forces, viz.: (1) T, the tension, actingat P along the…

Mechanics, Analytic

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