For the systems shown below: Write the equation of motion of the one$-$story, one$-$bay frame shown using the horizontal motion at roof level as your degree of freedom $($your solution must still include a FULL dof definition$).$ The flexural rigidity of the beam and columns is as noted and the system effective stiffness should be expressed$/$defined in terms of the parameters shown in the figures. The mass lumped at the beam is m; otherwise, assume the frame to be massless and neglect damping. Check your results from the frame $($a$)$ using Equation $1\mathrm{.}3\mathrm{.}5$ in your textbook. Comment on the effect of base fixity by comparing the two equations of motion.