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The answer will depend on what b and k are! And since you have not bothered to provide that crucial bit of information, I cannot provide a more useful answer.

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Q: Will damped oscillations occur for any values of b and k?
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Define damped oscillation?

Damped oscillation refers to a type of repetitive motion in which the amplitude of the oscillations decreases over time due to the presence of a damping force or mechanism. This damping force absorbs the energy of the system, causing the oscillations to gradually decrease in magnitude until they come to rest.


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Is it possible to have damped oscillations when a system is at resonance?

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Advantage of critical damping over under damping and over damping?

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