How a simple pendulum inside a running elevator oscillates

TL;DR

This study demonstrates how a simple pendulum's oscillation can be affected by a time-dependent gravitational acceleration simulated inside a running elevator, revealing observable effects during elevator acceleration changes.

Contribution

The paper presents an experimental method to simulate and analyze a time-dependent gravitational field using a moving elevator, linking elevator acceleration to pendulum oscillation behavior.

Findings

Pendulum oscillation is affected by elevator acceleration changes.

Time-dependent acceleration influences pendulum dynamics.

Experimental data confirms the effect of elevator acceleration on pendulum oscillation.

Abstract

We propose to effectively realize a time-dependent gravitational acceleration by using a running elevator, so that a simple pendulum inside it effectively becomes one with a time-dependent gravitational acceleration. We did such an experiment using a realistic elevator, and analyzed the data. The acceleration of an elevator is much smaller than the gravitational acceleration, and is time-dependent only when the elevator starts and stops. However, we have managed to establish the effect on the oscillation of the pendulum. The effect becomes pronounced if the simple pendulum is put in a container vertically accelerating, and the acceleration is time-dependent, while its magnitude is comparable with that of the gravitational acceleration.