The second order system with the transfer function 4/(s2 + 2s + 4) has a damping ratio of ___________________?

Correct answer: B. 0.5

  • A. 2.0
  • B. 0.5
  • C. 1.0
  • D. 4.0

Explanation

Compare the denominator with s² + 2ζωₙs + ωₙ²: here ωₙ² = 4 gives ωₙ = 2, and 2ζωₙ = 2 gives ζ = 0.5. Thus the system is underdamped.

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