Author/Authors :
Qureshi، M.I. نويسنده Faculty of Engineering and Technology,Department of Applied Sciences and Humanities,Jamia Millia Islamia (A Central University),New Delhi,India , , Quraishi، Kaleem A. نويسنده Mathematics Section,Mewat Engineering College(Wakf),Haryana,India ,
Abstract :
In the present work, we provide the exact equation of motion of a simple pendulum of arbitrary amplitude. For first time, a new and exact expression is obtained for the time ``t" of swinging of a simple pendulum from the vertical position to an arbitrary angular position ``θ". The time period ``T" of such a pendulum is also exactly expressible in terms of hypergeometric functions.