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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 114

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96 EXAMPLES. 37. A parabolic curve isplaced in a vertical plane with its axis vertical and vertexdownwards, and inside of it,and against a peg in the focus,and against the concave arc, asmooth uniform and heavybeam rests; required the posi-tion of equilibrium. Let PB be the beam, oflength 7, and of… … 38. Find the form of the curve in a vertical plane suchthat a heavy bar resting on its concave side and on a peg ata given point, say the origin, may be at rest in allpositions. Am. r = Jl + h sec 0, in which I = the length of thebar, k an arbitrary constant, and 6 the inclination of thebar to the…

Mechanics, Analytic

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