A particle of mass m is attached to a spring of spring constant ‘k’ and has a natural frequency ωo. An external force F(t) proportional to cosωtω≠ωo is applied to the oscillator. The maximum displacement of the oscillator will be proportional to
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a
mωo2+ω2
b
1mωo2−ω2
c
1mωo2+ω2
d
mωo2−ω2
answer is B.
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Detailed Solution
For forced oscillations x=x0sin(ωt+Φ) and F=Focos(ωt) where x0=Fe/mω02−ω22+bωm2 here damping is zero ( b=0 )
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A particle of mass m is attached to a spring of spring constant ‘k’ and has a natural frequency ωo. An external force F(t) proportional to cosωtω≠ωo is applied to the oscillator. The maximum displacement of the oscillator will be proportional to