Analysis of Hermite’s equation governing the motion of damped pendulum with small displacement

Agarana, M. C. and Iyase, S.A . (2015) Analysis of Hermite’s equation governing the motion of damped pendulum with small displacement. International Journal of Physical Sciences, 10 (12). pp. 364-370. ISSN 1992 - 1950

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Abstract

This paper investigates simple pendulum dynamics, putting damping into consideration. The investigation begins with Newton’s second law of motion. The second order differential equation governing the motion of a damped simple pendulum is written in form of Hermite’s differential equation and general solution obtained by means of power series. The results obtained are in agreement with the existing ones, and converge fast.

Item Type:	Article
Uncontrolled Keywords:	Pendulum, Hermite’s equation, dynamics, damping, angular displacement
Subjects:	Q Science > QA Mathematics
Divisions:	Faculty of Engineering, Science and Mathematics > School of Mathematics
Depositing User:	Mrs Patricia Nwokealisi
Date Deposited:	23 Sep 2015 12:21
Last Modified:	23 Sep 2015 12:21
URI:	http://eprints.covenantuniversity.edu.ng/id/eprint/5479

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