An automobile is modeled as a single-degree-of-freedom system vibrating in the vertical direction. It is driven along a road whose elevation varies sinusoidally. The distance from peak to trough is 0.2 m and the distance along the road between the peaks is 35 m. If the natural frequency of the automobile is 2 Hz and the damping ratio of the shock absorbers is 0.15, determine the amplitude of vibration of the automobile at a speed of 60 km/hour. If the speed of the automobile is varied, find the most unfavorable speed for the passengers.

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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An automobile is modeled as a single-degree-of-freedom system vibrating in the vertical
direction. It is driven along a road whose elevation varies sinusoidally. The distance from
peak to trough is 0.2 m and the distance along the road between the peaks is 35 m. If the
natural frequency of the automobile is 2 Hz and the damping ratio of the shock absorbers is
0.15, determine the amplitude of vibration of the automobile at a speed of 60 km/hour. If the
speed of the automobile is varied, find the most unfavorable speed for the passengers.
Transcribed Image Text:An automobile is modeled as a single-degree-of-freedom system vibrating in the vertical direction. It is driven along a road whose elevation varies sinusoidally. The distance from peak to trough is 0.2 m and the distance along the road between the peaks is 35 m. If the natural frequency of the automobile is 2 Hz and the damping ratio of the shock absorbers is 0.15, determine the amplitude of vibration of the automobile at a speed of 60 km/hour. If the speed of the automobile is varied, find the most unfavorable speed for the passengers.
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