A mechanical system is comprised of a pendulum $($point mass $m$ and thin rod of length $L$ and $2$ mass less springs with coefficients $k_1$ and $k_2$ connected in series. Spring $k_1$ is connected to the pendulum's rod at a distance $h$ away from the pivot point of the pendulum $($see diagram$).$ When the system is displaced from equilibrium at a small angle $$ and then released, it undergoes simple harmonic motion $($SHM$).$

Find the angular frequency of SHM$,{}_{SHM}.$

Given variables: $m,L,h,,k_1,k_2,$ for small angle approximation: $sin()$~~$$ and $cos()$~~$1$