4) The figure below shows a simple model of a motor vehicle that can vibrate in the vertical direction while traveling over a rough road. The vehicle has a mass of 1200kg. The suspension system has a spring constant of 500 kN/m and a damping ratio of = 0.3. If the vehicle speed is 30 km/hr, determine the displacement amplitude of the vehicle. The road surface varies sinusoidally with an amplitude of Y = 0.04m and a wavelength of 6m. x(1) m v km/h y(1) Road surface One cycle (a)

4) The figure below shows a simple model of a motor vehicle that can vibrate in the vertical direction while traveling over a rough road. The vehicle has a mass of 1200kg. The suspension system has a spring constant of 500 kN/m and a damping ratio of = 0.3. If the vehicle speed is 30 km/hr, determine the displacement amplitude of the vehicle. The road surface varies sinusoidally with an amplitude of Y = 0.04m and a wavelength of 6m. x(1) m v km/h y(1) Road surface One cycle (a)

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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Concept explainers

Free Damped Vibrations

Free vibration is a type of vibration in which the external force is removed after giving the initial displacement to a body/system. In other words, in this type of vibration, force is applied at the initial displacement of the system, and after the initial displacement, force is removed, and the system vibrates at the natural frequency.

Question

4) The figure below shows a simple model of a motor vehicle that can vibrate in the
vertical direction while traveling over a rough road. The vehicle has a mass of
1200kg. The suspension system has a spring constant of 500 kN/m and a damping
ratio of = 0.3. If the vehicle speed is 30 km/hr, determine the displacement
amplitude of the vehicle. The road surface varies sinusoidally with an amplitude of Y
= 0.04m and a wavelength of 6m.
x(1)
v km/h
y(1)
Road surface
One cycle
(a)

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