Home › MCQs › Mechanical Engineering › Question #2388
Back to Questions
Mechanical Engineering QUESTION #2388
Question 1
The standard second-order closed-loop transfer function is written as:
  • \(Y(s) = \frac{2\zeta\omega_n}{s^2+2\zeta\omega_n s+\omega_n^2}\)
  • \(Y(s) = \frac{\omega_n^2}{s^2+2\zeta\omega_n s+\omega_n^2}\)✔️
  • \(Y(s) = \frac{\omega_n^2}{s^2+\omega_n^2}\)
  • \(Y(s) = \frac{1}{s^2+2\zeta s+1}\)
Correct Answer Explanation
The standard second-order system: \(Y(s)=\frac{\omega_n^2}{s^2+2\zeta\omega_n s+\omega_n^2}\) where \(\omega_n\) is the undamped natural frequency and \(\zeta\) is the damping ratio. Poles: \(s=-\zeta\omega_n\pm\omega_n\sqrt{\zeta^2-1}\).