International Journal of
Physical Sciences

  • Abbreviation: Int. J. Phys. Sci.
  • Language: English
  • ISSN: 1992-1950
  • DOI: 10.5897/IJPS
  • Start Year: 2006
  • Published Articles: 2572

Full Length Research Paper

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

Agarana M. C.
  • Agarana M. C.
  • Department of Mathematics, Covenant University, Ota, Nigeria.
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Iyase S. A.
  • Iyase S. A.
  • Department of Mathematics, Covenant University, Ota, Nigeria.
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  •  Received: 16 May 2015
  •  Accepted: 25 June 2015
  •  Published: 30 June 2015

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.
 
Key words:  Pendulum, Hermite’s equation, dynamics, damping, angular displacement.

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