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Damped Oscillations

A mass of 5 k...

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 critical damping coefficient in Ns/m .

A

939

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B

949

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C

959

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D

969

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Solution

The correct option is A 959
The critical damping coefficient is given by
$c_{c} = \sqrt{4 M k} = \sqrt{4 \times 5 \times 46000} = 959 N s / m$

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