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a) Figure 2 shows a simplified scale down representation of two lead blocks assemblies used as shutters of a radioactive sealed source storage space. The blocks can individually be moved by applying force to it. In this instance, block 2 is moved by applying a force f(t) to it. Using impedance approach, find the transfer functions that relates the motion of block 1 to the force (8 Marks) f(t). -x (1) X= K₂ = 5 N/m oooo y=[1.5 0.625] x K₁ = 4 N/m 0000 R(1) fv₁ = 3 N-s/m M₁ = 2 kg|v₂=3 N-s/m| M₂= 2 kg|fv3= 2 N-s/m [ Figure 2 + b) Find the transfer function of a system described by the state space model -1.5 -[-]+[1] x 4 -x2₂ (1) 3 (8 Marks) c) Give two reasons why an underdamped condition is not desirable in any second order system. (4 Marks)