(Solved): Consider the following suspension system that is initially at horizontal equilibrium. The moment o ...

Consider the following suspension system that is initially at horizontal equilibrium. The moment of inertia of the bar with respect to the rotating point is $J=10\mathrm{kg}{\mathrm{m}}^2$ and $?=1\mathrm{m}$. The system is described by the transfer function $G(s)$ from the input force $P(t)$ to the angular displacement response $?(t)$ of the bar. Given that the system has the following desirable specifications: $?G(j0){?}_{dB}=?32dB$ and damping ratio $?=0.3$, a) Find the values of the unknown system parameter $k$. (Numeric) b) Draw the magnitude bode diagram for the given system. Calculate and label the key specifications on the diagram. (Numeric)