Ignore the values in the diagram, instead use the values in the text. A spring mass system with two degrees of freedom as shown in

Figure Q$4$ has springs with stiffness of $K_1=19\mathrm{.}4k\frac{N}{m}$ and

$K_2=19\mathrm{.}4k\frac{N}{m}$ connecting the masses $m_1=3kg,m_2=3kg.$

$($i$)$ Determine the natural frequency and;

$($ii$)$ Draw the mode shape.