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An automobile having a mass of m= 1650kg is subjected to vibration in the vertical direction while travelling on a rough road. The road has a sinusoidal waveform with an amplitude Y = 0.07m, and a wavelength of A = 6.5m. Assuming that the automobile can be modelled as a single degree of freedom spring-mass-damper system with an equivalent stiffness k = 460kN/m. Sketch the system described above and construct the equation of motion. Determine the values for damping ratio, C, and/or the damping coefficient, c, so that passengers will experience a 12% reduction in vibration when the automobile is travelling at: a. low speed (5km/h 100km/h) c. Plot the vibration amplitude of the vehicle as a function of or c, and the vehicle speed v. Note that the speed of the vehicle for questions a. and b. can be selected within the specified range. Hint: Part a, b, and c of this question can be solved and plotted together. It may be impossible to solve question a. on its own.

An automobile having a mass of m= 1650kg is subjected to vibration in the vertical direction while travelling on a rough road. The road has a sinusoidal waveform with an amplitude Y = 0.07m, and a wavelength of A = 6.5m. Assuming that the automobile can be modelled as a single degree of freedom spring-mass-damper system with an equivalent stiffness k = 460kN/m. Sketch the system described above and construct the equation of motion. Determine the values for damping ratio, C, and/or the damping coefficient, c, so that passengers will experience a 12% reduction in vibration when the automobile is travelling at: a. low speed (5km/h 100km/h) c. Plot the vibration amplitude of the vehicle as a function of or c, and the vehicle speed v. Note that the speed of the vehicle for questions a. and b. can be selected within the specified range. Hint: Part a, b, and c of this question can be solved and plotted together. It may be impossible to solve question a. on its own.

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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PLs see the question in the attached image.

An automobile having a mass of m= 1650kg is subjected to vibration in the vertical direction while travelling on a rough road. The road has a sinusoidal waveform with an amplitude Y = 0.07m, and a wavelength of A = 6.5m. Assuming that the automobile can be modelled as a single degree of freedom spring-mass-damper system with an equivalent stiffness k = 460kN/m. Sketch the system described above and construct the equation of motion. Determine the values for damping ratio, C, and/or the damping coefficient, c, so that passengers will experience a 12% reduction in vibration when the automobile is travelling at: a. low speed (5km/h <v < 50km/h) b. high speed (v > 100km/h) c. Plot the vibration amplitude of the vehicle as a function of or c, and the vehicle speed v. Note that the speed of the vehicle for questions a. and b. can be selected within the specified range. Hint: Part a, b, and c of this question can be solved and plotted together. It may be impossible to solve question a. on its own. Note: You will require Matlab to solve this question
Transcribed Image Text:An automobile having a mass of m= 1650kg is subjected to vibration in the vertical direction while travelling on a rough road. The road has a sinusoidal waveform with an amplitude Y = 0.07m, and a wavelength of A = 6.5m. Assuming that the automobile can be modelled as a single degree of freedom spring-mass-damper system with an equivalent stiffness k = 460kN/m. Sketch the system described above and construct the equation of motion. Determine the values for damping ratio, C, and/or the damping coefficient, c, so that passengers will experience a 12% reduction in vibration when the automobile is travelling at: a. low speed (5km/h <v < 50km/h) b. high speed (v > 100km/h) c. Plot the vibration amplitude of the vehicle as a function of or c, and the vehicle speed v. Note that the speed of the vehicle for questions a. and b. can be selected within the specified range. Hint: Part a, b, and c of this question can be solved and plotted together. It may be impossible to solve question a. on its own. Note: You will require Matlab to solve this question
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can u pls show me me how you solve this question in the matlab 

 

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