A 0.5 kg mass on a spring (k = 50 N/m) is damped with a damping constant b = 2 kg/s. What is the damping ratio?

Correct answer: B. 0.2

  • A. 0.1
  • B. 0.2
  • C. 0.3
  • D. 0.4

Explanation

Damping ratio ζ = b / (2√(mk)) = 2 / (2 × √(0.5 × 50)) = 2 / (2 × √25) = 2 / 10 = 0.2.

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