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A vibrating system consists of a mass of 200 kg and a spring of stiffness 80 N/mm. The circular frequency of un-damped vibration is:

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  1. 20 rad/s
  2. 40 rad/s
  3. 80 rad/s
  4. 60 rad/s

Answer (Detailed Solution Below)

Option 1 : 20 rad/s
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Detailed Solution

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Concept:

The circular frequency (natural frequency in rad/s) for undamped free vibrations is given by:

Where,

  • = stiffness of the spring (in N/m)
  • = mass (in kg)

Given:

Mass,

Stiffness,

Calculation:

 

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