The relationship between the force f(t) and the displacement x(t) of a spring-mass system (with a mass M, viscous damping D and spring constant K) is\(M\frac{{{d^2}x\left( t \right)}}{{d{t^2}}} + D\frac{{dx\left( t \right)}}{{dt}} + Kx\left( t \right) = f\left( t \right)\)X(s) and F(s) are the Laplace transforms of x(t) and f(t) respectively. With M = 0.1, D = 2, K = 10 in appropriate units, the transfer function \(G\left( s \right) = \frac{{X\left( s \right)}}{{F\left( s \right)}}\;is\)

• A. \(\frac{{10}}{{{s^2} + 20s + 100}}\)
• B. s2 + 20s + 100
• C. \(\frac{{10{s^2}}}{{{s^2} + 20s + 100}}\)
• D. \(\frac{s}{{{s^2} + 20s + 100}}\)