Q.

If the damping ratio is equal to 1, a second-order system is                    

A. having maginary roots of the characteristic equation
B. underdamped
C. critically damped with unequal roots
D. critically damped with equal roots
Answer» D. critically damped with equal roots
Explanation: the time response of a system with a damping ratio of 1 is critically damped. but the roots of the characteristic equation will be equal and equal to negative of the natural undamped frequency of the system.
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