A car and its suspension system idealized as a damped spring-mass system, with natural frequency 0.5 Hz and damping coefficient 0.2.
Suppose the car drives at a speed V over a road with sinusoidal roughness. assume the roughness wavelength is 10 m, and its amplitude is 20 cm. At what speed does the maximum amplitude of the vibration occur and what is the corresponding vibration amplitude?
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A car and its suspension system are idealized as a damped spring—mass system, with natural frequency 0.5Hz and damping coefficient 0.2 as shown in figure 4 below. Suppose the car drives at speed V over a road with sinusoidal roughness. Assume the roughness wavelength is 10m, and its amplitude is 20cm. At what speed does the maximum amplitude of vibration occur, and what is the corresponding vibration amplitude?
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