Resonance Demonstration

The simulation visualises how standing waves develop on a rope when one end is free or fixed, illustrating the fundamental principles of resonance and natural frequencies. By observing the wave patterns, students see how boundary conditions affect node and antinode placement.

Three interactive steps let learners experiment with forced vibrations: a hand‑shaken spring attached to a cart, a vertically driven mass‑spring system, and multiple masses on a driven beam. Sliders and input fields allow adjustment of driving frequency, amplitude, mass, spring constant, and damping coefficient, while real‑time graphs plot amplitude versus frequency and displacement over time.

Through these activities students discover the resonance curve, calculate the quality factor (Q), and understand how energy is transferred and amplified at the natural frequency. The model reinforces concepts of forced oscillation, damping, and the relationship between frequency, amplitude, and system parameters.