Prugernt Namesing

Q$1)$ The lasding gear of an aiplahe can be idealined as the spring$-$maes$-$damper system shown in Fig. $1.$ If the nanway surface is described by $y(t)=ysin(wt).$ Moreovet, the stiffness of the spring K$=500000\frac{N}{m}$ and damping of the damper c$=160000$ Assume m$=2000$kg and y$=0,2$m and w$=160$rad$/$s $.$

Determine the following :

I. The displacement amplitade of the landing gear of the airplane.

II$.$ The dyamic force amplitude on the base.

III. The amplitude of the displacement of the landing gear of the airplane relative to the base.