A vibrating system consists of a mass of (40 mathrm{~kg}) and a spring of stiffness (25 mathrm{~N}

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A vibrating system consists of a mass of \(40 \mathrm{~kg}\) and a spring of stiffness \(25 \mathrm{~N} / \mathrm{mm}\) and damper. The damping provided is only \(15 \%\) of the critical value. Determine

(a) the damping factor,

(b) critical damping coefficient,

(c) damped natural frequency,

(d) logarithmic decrement, and

(e) ratio of two successive amplitudes.

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