Note that the follow HW is to be solved using two methods.

$($a$)$ Modal analysis method, AND

$($b$)$ NASTRA$($N$)/($F$)$EMAP

Please describe how your process. Also create a table comparing the following results from two methods:

Mode frequencies and mode shapes $($vectors$)$

Steady$-$state displacement magnitudes

steady$-$state displacement magnitudes

Obtain the$-$displacements of m$1,$m$2$ and m $3$ for the forces applied on m $1$ and m $3$ as shown below.

All masses $=1$kg

All springs $=4($N$)/($m$)$

All dampers $=5$N$($s$)/($m$)$

Q$1=20$sin$(10$t$)$

Q$3=15$sin$(10$t$)$

Use the modal analysis

method, that is$,$ solving first

for the eta values and then

transforming back to the q