Resonance of a mass–spring oscillator

Theory

A driven, damped oscillator responds with the largest amplitude when the driving frequency matches its natural frequency $f_0=\frac{1}{2\pi }\sqrt{k/m}$ — this is resonance. Here $k=40$ N/m and $m=1$ kg, so $f_0\approx 1.01$ Hz.

What to observe

• The middle system (1.0 Hz) builds up a huge amplitude.
• The others stay small.

Try this

• Change the damping of a spring.
• Sweep the frequency of one support slowly.

Also available in: Ressonância de um oscilador massa–mola (Português) · Resonancia de un oscilador masa–resorte (Español)