Volume : IV, Issue : VIII, August - 2014

The Non–Simplicity of Simple Pendulum

R. Senjudarvannan, S. Vijayalakshmi, V. Ganagadharan

Abstract :

Perchance one of the nonlinear systems the majority premeditated and investigated is the simple pendulum. The periodic steps forward revealed by a simple pendulum is harmonic only for tiny angle oscillations. Further than this limit, the equation of motion is nonlinear. The simple harmonic motion is inadequate to sculpt the oscillation motion for hefty amplitudes and in such cases the period depends on amplitude. Appliance of Newton’s second law to this physical system furnishes a differential equation with a nonlinear term (the sine of an angle). It is feasible to discover the integral articulation for the period of the pendulum and to articulate it in terms of elliptic functions. Even though it is potential in numerous cases to restore the nonlinear differential equation by an analogous linear differential equation that approximates the source equation, such linearization is not forever reasonable. In such cases, the genuine nonlinear differential equation ought to be honestly treated with.

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Article: Download PDF   DOI : 10.36106/ijar  

Cite This Article:

R. Senjudarvannan, S. Vijayalakshmi, V. Ganagadharan The Non-Simplicity of Simple Pendulum Indian Journal of Applied Research, Vol.4, Issue.8 August 2014

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