Damped and Forced Oscillations, Resonance problem 15

Resonance occurs in the vibration of piezoelectric crystals which helps to maximise the amplitude of ultrasound waves. A higher amplitude of ultrasound waves means stronger echoes when they reflect off tissues, leading to clearer and more detailed medical images.

Resonance can be dangerous in structures like bridges, where external forces (such as wind, earthquakes, or rhythmic movements from pedestrians or vehicles) match the bridge's natural frequency. This can cause excessive vibrations, leading to structural failure.