Damping is beneficial only when:

\(\frac{\omega }{{{\omega _n}}} = 1\)

\(\frac{\omega }{{{\omega _n}}} < 1\)

\(\frac{\omega }{{{\omega _n}}} < \sqrt2\)

\(\frac{\omega }{{{\omega _n}}} > \sqrt 2\)

Damping is beneficial only when: Correct Answer \(\frac{\omega }{{{\omega _n}}} < \sqrt2\)

Explanation:

Important Points

For all the value of the damping ratio, the transmissibility is less than one when the ratio of natural and forced frequency is greater than root 2.
For all the value of damping ratio, the transmissibility is greater than one when the ratio of natural and forced frequency is less than root 2 and here the chances of getting infinite frequency is also there when the ratio will be 1, so we have to provide damping here only.

Feb 20, 2025

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