Notes and examples in mechanics; with an appendix on the graphical statics of mechanism; (1903)
Church, Irving P. (Irving Porter), 1851-1931 · New York, J. Wiley & sons; [etc., etc.] · leaf 61
ed from a fixedpoint C by an imponderable and inextensihlecord. Being allowed to sink from initial rest atthe point A (cord taut), it follows the circulararc ABO with increasing velocity. At anypoint B between A and 0 its velocity (whichof course is tangent to the curve) is V = V2g X vertical… … SIMPLE ^IRCULAil PENDULUM. 53 comps.) must = Mv -^ rad. of curv., [eq. (5), p. 76, M. of E.], i.e., cos 0 + ^7J- • (1) r 9> At 6^ the tension is greatest and = 6r G vS — G cos (p ^= — • -r : whence S = Gg I f^]. If the starting point A is taken high enough, the cord maj be brokenbefore 0 is…
