3. In order to save money for beer, you move into the least expensive apartment in town, which is situated adjacent

to some railroad tracks. You're alarmed to discover that every time a train passes by, the entire place shakes

violently, and your beer is spilled. You decide to mount a drink holder to the wall with a spring and a dashpot.

hoping to insulate your precious elixir from vibrations.

The wall you select vibrates horizontally, roughly sinusoidally, with a frequency of 30 rad/s. When full,

your favorite plastic cup has a mass of m= 1 kg. The system you have in mind therefore looks like this:

(1)

Fi

E

1kg

z(t)=Cint

Rummaging around your closet, you find two different springs and two different dashpots that you might use.

The two spring constants are k, 1 N/m and ky 100 Nm. The two damping coefficients are by 1 N/m

and by 100 Nm. Which spring and which dashpot should you use to minimize the steady-state motion of

the cup?

In order to prove that you made the right choice, generate Bode magnitude plots corresponding to the four

possible transfer functions G(s) - Y(s)/X(s) and turn in the plots in with your other work.