Problem # $6(20$ Points$)$ Knowing that $m_o$ and $k_o$ are attached to the following system to act

as an absorber$.$ Find the steady state response $($particular solution$)$ of the system. No need to

draw FBD$,$ no need to drive the equations, and no need to write the equations in the standard

form $($In terms of $,{}_n,$ and ${}_d).$

$\left[\begin{array}{cc}\frac{1}{3}M{L}^3& 0\\ 0& m_0\end{array}\right]\left[\begin{array}{c}{}^{}\\ x^{}\end{array}\right]+\left[\begin{array}{cc}\frac{1}{2}MgL+k_0{L}^2& -k_{0}L\\ -k_{0}L& k_0\end{array}\right]\left[\begin{array}{c}\\ x\end{array}\right]=\left[\begin{array}{c}a{F}_0\\ 0\end{array}\right]sint$