Power Series Solution to a Simple Pendulum with Oscillating Support

Vibrations of a Pendulum with Oscillating Support and Extra Torque

The motion of a driven planar pendulum with vertically periodically oscillating point of suspension and under the action of an additional constant torque is investigated. We study the influence of the torque strength on the transition to chaotic motions of the pendulum using Melnikov's analysis.

Analytical Solution of Differential Equation Associated with Simple Pendulum

Abstract In the present work, we provide the exact equation of motion of a simple pendulum of arbitrary amplitude. For first time, a new and exact expression is obtained for the time “t” of swinging of a simple pendulum from the vertical position to an arbitrary angular position “θ”. The time period “T” of such a pendulum is also exactly expressible in terms of hypergeometric functions.

An accurate formula for the period of a simple pendulum oscillating beyond the small angle regime

Oscillations Bounded by the Simple Pendulum and the Oscillating Rigid Rod

The oscillation periods bounded by a simple pendulum and an oscillating rigid rod are illustrated using a multiple pendulum. Oscillation periods between these two limits are obtained. A theoretical approach using the Lagrangian formalism and the set up of three simple experiments are presented in order to probe our approach.

Simple Pendulum Revisited

We describe a 8085 microprocessor interface developed to make reliable time period measurements. The time period of each oscillation of a simple pendulum was measured using this interface. The variation of the time period with increasing oscillation was studied for the simple harmonic motion (SHM) and for large angle initial displacements (non-SHM). The results underlines the importance of the ...