Understanding resonance graphs using Easy Java Simulations (EJS) and why we use EJS

TL;DR

This paper presents an EJS-based computer simulation that visually demonstrates how the steady-state amplitude of a driven oscillating system depends on driving frequency and damping, aiding physics education.

Contribution

It introduces a novel, interactive EJS simulation that helps learners visualize and understand resonance phenomena and steady-state behavior in oscillating systems.

Findings

Simulation effectively illustrates amplitude variation with frequency.

Model supports understanding of damping effects on resonance.

Educational model is accessible across devices and promotes active learning.

Abstract

This paper reports a computer model- simulation created using Easy Java Simulation (EJS) for learners to visualize how the steady-state amplitude of a driven oscillating system varies with the frequency of the periodic driving force. The simulation shows (N=100) identical spring-mass systems being subjected to (1) periodic driving force of equal amplitude but different driving frequencies and (2) different amount of damping. The simulation aims to create a visually intuitive way of understanding how the series of amplitude versus driving frequency graphs are obtained by showing how the displacement of the system changes over time as it transits from the transient to the steady state. A suggested how to use the model is added to help educators and students in their teaching and learning, where we explained the theoretical steady state equation, time conditions when the model starts allowing data recording of maximum amplitudes to closely match the theoretical equation and steps to collect different runs of degree of damping. We also discuss two design features in our computer model: A) displaying the instantaneous oscillation together with the achieved steady state amplitudes and B) explicit world view overlay with scientific representation with different degrees of damping runs. Three advantages of using EJS include 1) Open Source Codes and Creative Commons Attribution Licenses for scaling up of interactively engaging educational practices 2) models made can run on almost any device including Android and iOS and 3) allows for redefining physics educational practices through computer modeling. 2015 resource: http://iwant2study.org/ospsg/index.php/interactive-resources/physics/02-newtonian-mechanics/09-oscillations/88-shm24