Analysis of Hermites equation governing the motion of damped pendulum with small displacement | Zendy

M. C. Agarana | Zendy; S. A. Iyase | Zendy

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Analysis of Hermites equation governing the motion of damped pendulum with small displacement

Author(s) -

M. C. Agarana,

S. A. Iyase

Publication year - 2015

Publication title -

international journal of the physical sciences

Language(s) - English

Resource type - Journals

ISSN - 1992-1950

DOI - 10.5897/ijps2015.4364

Subject(s) - pendulum , displacement (psychology) , dynamics (music) , motion (physics) , equations of motion , differential equation , physics , classical mechanics , hermite polynomials , double pendulum , mathematics , mathematical analysis , inverted pendulum , acoustics , nonlinear system , psychology , quantum mechanics , psychotherapist

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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