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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 379

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tyround the vertical axis AO, so thatit makes u revolutions per second.It is required to find the inclina-tion, d, of the string to the vertical,and the tension of the string. The velocity of P in feet per second = 2rra ■ OP = 2nn Isin 6. The forces acting upon it are the tension, T, of thestring,… … Fig.86 From (1) T = m-lirWl, which in (2) gives cos 6 = 9 4tt2^ V (3)(4) where Tand 6 are completely determined. If the string be replaced by a rigid rod, which can turnabout A in a ball and socket joint, the instrument is calleda conical pendulum, and occurs in the governor of thesteam-engine.16…

Mechanics, Analytic

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