Calculus, with applications; an introduction to the mathematical treatment of science (1900)
Hayes, Ellen, 1851- · Boston, Allyn and Bacon · leaf 75
r when the particle or bodymoves in a circle with constant angular velocity. 55. Suppose a point Q moves with constant angular d0velocity —- or co in a circle AQAf whose radius is r. Take the center as or-igin, and let QP bethe perpendicular fromQ to the j/-axis OA. As the angle AOQincreases, the… … Fig. 6. SIMPLE HARMONIC MOTION. 65 Q describes the circle. OP is the ordinate of P atany instant, and if Q has taken the time t to movefrom A to Q, the angle AOQ = cot; hence 2/ = r cos o>£.If $ starts at some point #, and £0 is the time requiredto move from Q1 to A, the angle # OA = cot0;…
Calculus · Geometry, Analytic
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