A vehicle with mass (m_{e q}=1,050 mathrm{~kg}) and suspension stiffness (k_{e q}=435,000 mathrm{~N} / mathrm{m}) is traveling

Question:

A vehicle with mass \(m_{e q}=1,050 \mathrm{~kg}\) and suspension stiffness \(k_{e q}=435,000 \mathrm{~N} / \mathrm{m}\) is traveling with a velocity \(V\) on a sinusoidal road surface with amplitude \(=0.011 \mathrm{~m}\) and a wavelength of \(5.3 \mathrm{~m}\) (Figure P2.9).

a. Determine the critical speed of the vehicle.

b. Select an appropriate amount of damping for the suspension system.

c. With the damping selected in part b, should the vehicle be operated above or below the critical speed so that the amplitude of the vehicle is small? Justify your answer.

d. With the damping selected in part b, should the vehicle be operated above or below the critical speed so that the amplitude of the vehicle is small relative to the road profile? Justify your answer.

Figure P2.9