What is the condition for resonance to occur in a driven mechanical oscillator with damping?
Answer and explanation
Correct answer: C. The driving frequency matches the natural resonant frequency of the oscillating system
- Step 1: Resonance occurs when energy transfer from the external periodic driver to the system is maximized. Step 2. This occurs when the driving frequency omega equals the system's undamped natural frequency omega_0. Answer: The driving frequency matches the natural resonant frequency of the oscillating system. Why not the others: At resonance, driving force and velocity are in phase, while displacement lags the driver by 90 degrees.
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