Question

x(t) m v km/hr k/2 c k/2 y(t) Y Road surface One cycle

          x(t)
m
v km/hr
k/2
c
k/2
y(t)
Y
Road surface
One cycle

Added by Amanda D.

Engineering Mechanics: Dynamics

J. L. Meriam, L. G. Kraige, J. N. Bolton 8th Edition

Chapter 8

Instant Answer

Solved by Expert Madhur L

06/16/2023

Step 1

First, we need to find the frequency of the road surface. We know that the wavelength is 6m, so the frequency can be calculated as f = v/λ, where v is the velocity of the vehicle. Converting 20 km/hr to m/s, we get v = 5.56 m/s. Therefore, f = 5.56/6 = 0.9267 Hz. Show more…

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Figure 6 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 1200 kg. The suspension system has a spring constant of 400 kN/m and a damping ratio of ζ=0.5. The road surface varies sinusoidally with an amplitude of Y= (0.01+4) m and a wavelength of 6m. If the vehicle speed is 20 km/hr, Identify the frequency ratio, r, for the system. Identify the displacement amplitude of the vehicle.