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Dynamic Analysis of Damped Driven Pendulum using Laplace Transform Method

M. C. Agarana, O. O. Agboola

Abstract


In many recent works, many researchers have demonstrated the usefulness of dynamical systems. In this paper, a damped driven pendulum, as a dynamical system, is considered. The effects of its angular displacement and angular driven force on the dynamics of the pendulum is analyzed. The Laplace transform method is used to transform the differential equation governing the motion of the pendulum into its algebraic form and the desired results obtained. It is observed that angular displacement and angular driven force affect the motion of the pendulum. Specifically it is noted that the lower the fixed value of the angular driving force the higher the angular velocity, at various values of the angular displacement.

Keywords


Dynamic analysis, damping, damped driven pendulum, angular velocity, angular displacement, angular driven force

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