PhysicsChapter 3: Simple Harmonic Motion
Resonance
Resonance
Definition
Resonance is the phenomenon in which a periodically driven oscillator responds with a large amplitude when the driving frequency is close to its natural frequency.
Damping Effect
Every oscillator has a natural frequency. An external periodic force has a driving frequency. When: fd ≈ f₀ energy transfer from the driver to the oscillator becomes highly effective. Amplitude rises. Small damping: sharper resonance; larger peak amplitude. Greater damping: lower resonance peak; broader response.
Useful Resonance
Resonance is used in: tuning systems; musical instruments; frequency selection; many mechanical and electrical systems.
Harmful Resonance
Large resonant oscillations can be undesirable in: machines; buildings; bridges; vehicle components.
Formula / Key Relation
Approximate resonance condition: **fd ≈ f₀ or: ωd ≈ ω₀**
Exam preparation
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Review the key facts, formulas and checks before you move on.Resonance
Sticky Notes · Quick Revision
Driver frequency ≈ natural frequency
- → efficient energy transfer
- → large amplitude
60-second revision
- Frequency matching produces a strong forced response.
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