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Question

A mass of 5 kg is suspended from a spring of stiffness 46 kN/m. A dashpot is fitted between the mass and the support with a damping ratio of 0.3. Calculate the damped frequency.

A
14.56 Hz
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B
14.28 Hz
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C
14.42 Hz
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D
14.14 Hz
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Solution

The correct option is A 14.56 Hz

The natural undamped frequency is given by
fn=12πkMfn=12π460005=15.26Hz
The damped frequency is given by
f=fn1δ2=15.26×10.09=14.56Hz


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