A vehicle is modelled as a combined mass-spring-damper system that oscillates in the vertical direction only. The driver of the vehicle travels along a road whose elevation varies sinusoidally as shown in Figure 2. The mass of the vehicle, which includes the driver, is 2500 kg. The stiffness and damping of the shocks are 40 kN/m and 3000 kg/s respectively. i. Determine the amplitude of vibration of the vehicle when it travels at a constant speed of 90 km/hr along the sinusoidal road. y/m 0.6 ►Velocity of vehicle m 0.4 ► Rigid massless tyre 0.2 distance (m) 20 60 80 -0.2 Figure 2

A vehicle is modelled as a combined mass-spring-damper system that oscillates in the vertical direction only. The driver of the vehicle travels along a road whose elevation varies sinusoidally as shown in Figure 2. The mass of the vehicle, which includes the driver, is 2500 kg. The stiffness and damping of the shocks are 40 kN/m and 3000 kg/s respectively. i. Determine the amplitude of vibration of the vehicle when it travels at a constant speed of 90 km/hr along the sinusoidal road. y/m 0.6 ►Velocity of vehicle m 0.4 ► Rigid massless tyre 0.2 distance (m) 20 60 80 -0.2 Figure 2

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

A vehicle is modelled as a combined mass-spring-damper system that oscillates in the vertical
direction only. The driver of the vehicle travels along a road whose elevation varies sinusoidally
as shown in Figure 2. The mass of the vehicle, which includes the driver, is 2500 kg. The stiffness
and damping of the shocks are 40 kN/m and 3000 kg/s respectively.
i.
Determine the amplitude of vibration of the vehicle when it travels at a constant speed of
90 km/hr along the sinusoidal road.
y/m
0.6
►Velocity of vehicle
m
0.4
► Rigid massless tyre
0.2
distance (m)
20
60
80
-0.2
Figure 2

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