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Mechanics and heat; a text book for collleges and technical schools (1916)

Franklin, William S. (William Suddards), 1863-1930, Macnutt, Barry, 1878-1936, [from old catalog] joint author · New York, The Macmillan company; London, Macmillan & co., ltd. · leaf 119

An illustration from Mechanics and heat; a text book for collleges and technical schools, 1916, leaf 119
. 44 performs sim-ple harmonic motion, and the equation expressing the period ofthe oscillations may be found by substituting mg/l for k inequation (17). In this way we find mgI 4x m or 27T i (18) 44. Harmonic motion represented by a curve of sines. If the point P, Fig. 45, moves around the circle… … x = r sin co/. (19) That is, the distance ofthe vibrating particle Pfrom its equilibrium posi-tion 0 is proportional tothe sine of a uniformly in-creasing angle, and if values of x be plotted as ordinates andthe corresponding values of t (or oot) as abscissas, we will have acurve of sines as shown…

Mechanics · Heat

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