k F X m (a) Figure Q1 Figure Q1 shows a forced spring-mass system with damping, where mass m = 1 kg, spring constant k = 0.2 N/m, and damping coefficient c = 0.3 N-s/m. This forced spring-mass system with damping can be described by the following differential equation: dx(t) c dx(t), k + +. m dt m x(t) = F(1) m dt² Determine: (i) Laplace Transfer Function of this system, (ii) This system's steady state gain, damping ratio and natural frequency.