PhysicsChapter 3: Simple Harmonic Motion
Damped Oscillations
Damped oscillations
Definition
Damped oscillations are oscillations whose amplitude decreases with time because mechanical energy is dissipated by resistive forces.
Formula / Key Relation
Real oscillating systems experience resistance such as: friction; air resistance; internal material resistance. A common damping force is: Fd = −bv Equation: *mẍ+bẋ+kx=0 For underdamped motion, amplitude decreases approximately exponentially: A(t)=A₀e(−bt/2m) Thus displacement may be represented as: x=A₀e(−bt/2m)cos(ωdt+φ) Energy also decreases with time. Fd=-bv mẍ+bẋ+kx=0 A=A₀e(−bt/2m)**
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Review the key facts, formulas and checks before you move on.Damped Oscillations
Sticky Notes · Quick Revision
Damping:
- Amplitude ↓
- Energy ↓
- Time ↑
60-second revision
- Resistance causes oscillation amplitude to decay.
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