Use modal analysis to find the steady$-$state displacement$2-$ Use modal analysis to find the steady$-$state displacement of each mass when $F_1=4t$ and $F_2=$

$0$ for two degree of freedom system shown in Figure Q$3$

where: $m_1=4kg{m}_2=2kg{k}_1=k_2=0\mathrm{.}5k\frac{N}{m}{k}_3=k_4=1k\frac{N}{m}$

The natural frequencies and corresponding mode shapes are:

${}_1=7\mathrm{.}210ra\frac{d}{s}\{x{\}}_1=\{[1$

$0\mathrm{.}490]\}$

${}_2=11\mathrm{.}410ra\frac{d}{s}\{x{\}}_2=\{[1$

$-0\mathrm{.}740]\}$