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Asked Nov 26, 2019
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Is it possible to have dsmped oscillations when a system is at resonance?will dsmped oscillations occur for any values of b and k? Explain

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Expert Answer

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Step 1

Resonance is known as the phenomenon in which natural frequency of the system is equal to the applied frequency of an external force.

At resonance, the amplitude of vibration is unbounded. That means the amplitude is increasing rapidly and tends to infinity since continuous energy supply from source is given.

Step 2

Write the expression

xe
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xe

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Step 3

Substituting this form gives an auxiliary equation for λ

...
mi? +bえ+k=0
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mi? +bえ+k=0

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Physics

Vibrations

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