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Question:

Car suspension oscillations?

I‘m kind of confused as to what to do on this problem. I know that ωo (k/m)^1/2 which is the natural frequency, but I‘m not sure what to do with it. Could someone give me a hand?A car’s front suspension has a natural frequency of 0.45 Hz. The car’s front shock absorbers are worn out, so they no longer adequately perform their function of damping out oscillations of the front of the car (i.e., assume thedamping constant b 0). (a) At what frequency do you expect that the frontsuspension will experience resonant vibration (i.e., at what frequency will the amplitude of the front of the car oscillate with maximum amplitude)? (b) Now, assume that the car is driving on a bumpy road with bumps spaced roughly 40m apart. At a certain speed, the driver notices that the car begins to shake violently. What is the car’s speed?

Answer:

volcanic rock as far as i know. its a naturally occurring element in the earth
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For an underdamped system, such as a car with worn shocks, the max amplitude of the oscillation is at the natural frequency. This frequency is where external forces at the natural frequebcy will add energy to the system in phase and cause the amplitude to increase. a) 0.45 Hz b) The natural frequency would require that the car travel 40 m every 1/0.45 seconds dv*t at constant speed, so 40v/0.45 v40*0.45 m/s ___________________-

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