(Solved): Consider the two degree-of-freedom system shown as the following figure. Determine(a) the natural fr ...

Consider the two degree-of-freedom system shown as the following figure. Determine(a) the natural frequencies. (b) the modes shapes. Assuming m1=m, m2=3m, k1=k2=k

?? Consider the two degree-of-freedom system shown as the following figure. Determine(a) the natural frequencies. (b) the modes shapes. Assuming \( m \mathbf{1}=\mathrm{m}, \mathbf{m} \mathbf{2}=\mathbf{3} \mathbf{m}, \mathrm{k} \mathbf{1}=\mathrm{k} \mathbf{2}=\mathrm{k} \) (Total 20)