Unformatted text preview: m ¨ x =kxb ˙ x + u ( t ) where you are assuming that the nominal mass of a person on board the car will be about 90 kg. When you call the parts department for possible parts, they tell you that the only options for you are two packages available. One package with a spring whose constant is k 1 = 12960 kg m and damper whose coefficient is b 1 = 1680 kg s/m. Another package comes with the spring constant/damping coefficent of k 2 = 2250 kg m and and b 2 = 300 kg s/m. Which package do you pick for your system to give a more pleasing ride? In this case, a more pleasing ride is determined by the time response to a unit step. In particular, you want for the peak response to be as low as possible....
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 Spring '08
 CITRIN
 Electromagnet, Laplace, following differential equation

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