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Undamped natural frequency of a second order system has the following influence on the response due to various excitations:

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Undamped natural frequency of a second order system has the following influence on the response due to various excitations:

(a) Increase in speed of response and decrease sensitivity

(b) Decrease in speed of response and increase sensitivity

(c) Has no influence in the dynamic response

(d) Increase oscillatory behavior

The question was asked in unit test.

My question is taken from Time Response of Second Order Systems topic in portion Time Response Analysis, Design Specifications and Performance Indices of Control Systems

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Correct option is (a) Increase in speed of response and decrease sensitivity

For explanation I would say: Undamped natural frequency is the frequency that has suffered damping and gets affected by the increase in the speed of response and decrease in sensitivity.

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