Resonance occurs in an oscillating system when the driving frequency happens to equal the natural frequency. If the frequency of the push equals the natural frequency of the swing, the motion gets big...Resonance occurs in an oscillating system when the driving frequency happens to equal the natural frequency. If the frequency of the push equals the natural frequency of the swing, the motion gets bigger and bigger. We start at low driving frequencies and measure the amplitude of the motion (how far it bounces) at each frequency. So the natural frequency of the system without the vibrator was also \(2.5\text{ Hz}\). Why is the amplitude of the cart larger at one particular frequency?