QUESTION $4$

Consider a two$-$degrees$-$of$-$freedom system shown below.

What is the amplitude of vibration of mass $1$ oscillating at the input frequency? $($This is just another way of asking for the amplitude of the particular solution$).$ The answer must be positive. Use scientific notation with $3$ significant figures. Omit units.

Use

$m1=3kg$

$m2=2kg$

$k1=106\frac{N}{m}$

$k2=100\frac{N}{m}$

$k3=166\frac{N}{m}$

$F1=435cos(3\mathrm{.}3t)N$

$F2=0.$