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Mechanical Engineering QUESTION #2442
Question 1
Resonance in a forced vibration system occurs when:
  • The forcing frequency is less than \(\omega_n / 2\)
  • The forcing frequency \(p\) equals the natural frequency \(\omega_n\): \(p = \omega_n\)✔️
  • The damping ratio exceeds 0.5
  • The amplitude is less than the static deflection
Correct Answer Explanation
Resonance occurs when the excitation frequency \(p\) equals the natural frequency \(\omega_n\). For an undamped system, the amplitude theoretically becomes infinite at resonance.