Woods, Frederick S. (Frederick Shenstone), 1864-, Bailey, Frederick H. (Frederick Harold), 1865- · Boston, New York [etc.] Ginn and Company · leaf 471
the only force acting in this direction is the component of gravity.The weight of the pendulum being mg, its component in the direction APis equal to — mg sin 0. Hence the differential equation of the motion isd2s . „ dt2 •mg sin We shall treat this equation on the hypothe-sis that the angle… … (a - **), \dt! L I I where a2 is a new arbitrary constant. Separating the variables, we have whence sin-1 - = -i /- (t — t0), where t0 is an arbitrary constant. From this, finally, s = a sin -i/- (t — /0). The physical meaning of the arbitrary constants can be given. For ais the maximum value of s;…
Geometry, Analytic · Calculus
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