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(b) For the spring-mass system shown in figure 3 , given that \( K=6 \) \( \mathrm{N} / \mathrm{m}, \mathrm{f}_{\mathrm{v}}=5 \mathrm{~N}-\mathrm{s} / \mathrm{m} \), and \( \mathrm{M}=1 \mathrm{~kg} \), where \( \mathrm{K}, \mathrm{f}_{\mathrm{v}} \) and \( \mathrm{M} \) are spring constant, coefficient of viscous friction, and mass respectively. (i) Determine the transfer function, G(s) \( =X_{1}(s) / F(s) \). [15 Marks] (ii) Obtain the poles of the system. [5 Marks] Figure 3

The spring-mass system consists of the following blocks (i) A force due to the spring (ii) A force due to the damper (iii) The force acting on the mas

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