A unit step function \((f(t)=u(t))\) is applied on the mechanical system shown in Fig. 5.6 .1. The output is the horizontal position of the mass which is illustrated in Fig. 5.6 .2. Determine the damping ratio of the system response if \(M=1 \mathrm{~kg}\), \(B=1\).

1) \(\frac{1}{4}\)
2) \(\frac{1}{2}\)
3) \(\frac{1}{\sqrt{k}}\)
4) \(\frac{1}{2 k}\)

Figure 5.6 .1 and Figure 5.6 .2

x(t) x(t) [m] m 0.25 f(t). M B [s]