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 $$cos$$⁡ωtω≠ωo is applied to the oscillator. The maximum displacement of the oscillator will be proportional to

Correct option is 21mωo2−ω2

Questions

A particle of mass m is attached to a spring of spring constant ‘k’ and has a natural frequency $ω_{o}$ . An external force F(t) proportional to $\cos ωt (ω \neq ω_{o})$ is applied to the oscillator. The maximum displacement of the oscillator will be proportional to

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mωo2+ω2

1mωo2−ω2

1mωo2+ω2

mωo2−ω2

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detailed solution

Correct option is B

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 cos⁡ωtω≠ωo is applied to the oscillator. The maximum displacement of the oscillator will be proportional to

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Ready to Test Your Skills?

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A particle of mass m is attached to a spring of spring constant ‘k’ and has a natural frequency $ω_{o}$ . An external force F(t) proportional to $\cos ωt (ω \neq ω_{o})$ is applied to the oscillator. The maximum displacement of the oscillator will be proportional to