To appreciate that different systems can have the same block diagram, consider the mechanical system in Figure $2.$ Write the integro$-$differential equation relating input force $f(t)$ to the mass velocity, $v(t),$ acceleration $($its derivative$),$ and position $($its integral$).$ Note that the inertial force is $M\frac{dv}{dt},$ the spring force is $K{\displaystyle \underset{-}{\overset{t}{}}}v()d,$ and the viscous drag force is $Bv(t).$

Compare the two equations and derive the relation between $M,K,$ and $B$ of the mechanical system with $R,L,$ and $C$ of the electrical system.

Print and report the block diagram of the mechanical system, when $M=1kg,B=0\mathrm{.}1\frac{Ns}{m},$ and $K=1\frac{N}{m}.$ Also simulate and plot its step$-$response.