5. Consider modeling the vertical suspension system of a small sports car as a single degree of freedom system of the form: mx + cx + kx = 0 where m is the mass of the car and c and k are the equivalent damping and stiffness of the four-shock-absorber-spring systems. The car deflects the suspension system 0.05 m under its own weight. The suspension is designed to have a damping ratio of 0.3. a) Calculate the suspension system's equivalent damping and stiffness coefficients, if the car has a mass of 1500 kg. Also, determine the natural frequency. b) Then, with the same suspension, if two passengers, a full gas tank, and luggage totaling 350 kg are loaded in the car, determine the natural frequency and damping ratio. c) Comparatively discuss the results provided in parts (a) and (b) in terms of damping capacity, natural frequency, the amplitude of vibration, and time duration for vibration to nearly stop.

5. Consider modeling the vertical suspension system of a small sports car as a single degree of freedom system of the form: mx + cx + kx = 0 where m is the mass of the car and c and k are the equivalent damping and stiffness of the four-shock-absorber-spring systems. The car deflects the suspension system 0.05 m under its own weight. The suspension is designed to have a damping ratio of 0.3. a) Calculate the suspension system's equivalent damping and stiffness coefficients, if the car has a mass of 1500 kg. Also, determine the natural frequency. b) Then, with the same suspension, if two passengers, a full gas tank, and luggage totaling 350 kg are loaded in the car, determine the natural frequency and damping ratio. c) Comparatively discuss the results provided in parts (a) and (b) in terms of damping capacity, natural frequency, the amplitude of vibration, and time duration for vibration to nearly stop.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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