Title of article
Analytical Solution of Differential Equation Associated with Simple Pendulum
Author/Authors
Qureshi ، M.I. - Jamia Millia Islamia (A Central University) , Quraishi ، Kaleem A. - Mewat Engineering College(Wakf)
Pages
9
From page
50
To page
58
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.
Keywords
Pochhammer’s symbol , Gauss ordinary hypergeometric function , Kamp´e de F´eriet’s double hypergeometric function
Journal title
General Mathematics Notes
Serial Year
2011
Journal title
General Mathematics Notes
Record number
2457397
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