Physics · Oscillations
The differential equation for a damped forced harmonic oscillator is given by: md2xdt2 = -kx - bv + F0sin(ωt). In steady state, the amplitude A of the oscillation is given by (where ω0 is the natural frequency of the oscillator):
- 1A = F0/m√{(ω2 - ω02)2 + (bωm)2}✓
- 2A = F0/mω - ω0 + bωm
- 3A = F0/mω0 + bωm
- 4A = F0bω
Correct answer
A = F0/m√{(ω2 - ω02)2 + (bωm)2}
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