Higher Study | Mechanical Vibrations | Damped Free Vibration

Which condition is suitable for indicating instruments in order to get the best results?

ক

Critically damped

খ

Under damped

গ

Damped slightly less than the critical value

Damping is beneficial only when:

ক

<span class="math-tex">\(\frac{\omega }{{{\omega _n}}} = 1\)</span>

খ

<span class="math-tex">\(\frac{\omega }{{{\omega _n}}} < 1\)</span>

গ

<span class="math-tex">\(\frac{\omega }{{{\omega _n}}} < \sqrt2\)</span>

Which of the following diagrams represents the response of a critically damped (ξ = 1) SDOF system to initial conditions?

ক

<img alt="F1 Shubhanshi Ravi 16.10.21 D37" src="//storage.googleapis.com/tb-img/production/21/10/F1_Shubhanshi_Ravi_16.10.21_D37.png">

খ

<img alt="F1 Shubhanshi Ravi 16.10.21 D38" src="//storage.googleapis.com/tb-img/production/21/10/F1_Shubhanshi_Ravi_16.10.21_D38.png" style="width: 433px; height: 300px;">

গ

<img alt="F1 Shubhanshi Ravi 16.10.21 D39" src="//storage.googleapis.com/tb-img/production/21/10/F1_Shubhanshi_Ravi_16.10.21_D39.png" style="width: 472px; height: 301px;">

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