Mechanical Properties of Wilberforce Pendulum

TL;DR

This paper investigates the mechanical properties of the Wilberforce pendulum through qualitative analysis, deriving equations of motion, and conducting experiments that vary the moment of inertia to understand oscillation behavior.

Contribution

It presents a quantitative model of the Wilberforce pendulum and experimental analysis considering the mass and moment of inertia as key parameters.

Findings

Oscillation ratio varies with moment of inertia

Conversion factor quantifies energy transfer between modes

Derived equations match experimental observations

Abstract

This paper shows the study of interesting mechanical properties of Wilberforce pendulum. Analyzing qualitatively of the pendulum, it is able to know how the phenomenon occurs. By setting of the quantitative model, equation of the motion is derived. Considering the mass and moment of inertia of the spring, the experiment was done by changing the moment of inertia as the main parameter. The results were analyzed by defining oscillation ratio and conversion factor.