Comprehension

A vibratory system consists of a mass 12.5 kg, a spring of stiffness 1000 N/m, and a dashpot with damping coefficient of 15 Ns/m.

The value of logarithmic decrement is:

  1. 0.422
  2. 1.32
  3. 0.68
  4. 0.66

Answer (Detailed Solution Below)

Option 1 : 0.422

Detailed Solution

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ξ=C2km=15223.6=0.0671

Logarithmic decrement =2πξ1ξ2=2π×0.067110.06712=0.422

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