Question

6. 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 w = 30 rad/s. When full, your favorite plastic cup has a mass of m-1kg. The system you have in mind therefore looks like this: (t)Csin wt 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 k2 100 N/m. The two damping coefficients are b1 Ns/m and b2 100 Ns/m. 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, you should use a computer to generate the Bode plots cor- responding to the four possible transfer functions G(s)x and turn the plots in with your work.

Answer 1