Approximation for a large-angle simple pendulum period

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

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 ...

A simple model for accretion disks in the post-Newtonian approximation

p { margin-bottom: 0.1in; direction: ltr; line-height: 120%; text-align: left; }a:link { } In this paper, the evolution of accretion disks in the post-Newtonian limit has been investigated. These disks are formed around gravitational compact objects such as black holes, neutron stars, or white dwarfs. Although most analytical researches have been conducted in this context in the framework o...

Kapitza Pendulum: A Physically Transparent Simple Explanation

The phenomenon of dynamic stabilization of the inverted pendulum whose pivot is forced to oscillate with a high frequency in vertical direction is revisited. A simple physically meaningful explanation of the phenomenon is presented, followed by the derivation of an approximate quantitative criterion of stability. A computer program simulating the physical system is developed, which aids the ana...

Simple Linearizations of the Simple Pendulum for Any Amplitude∗

Two simple, interpolatory-like linearizations are shown for the simple pendulum which can be used for any initial amplitude.