Determine the amplitude of vertical vibration of the car as it travels at a velocity v = 40 km/h over the wavy road whose contour may be expressed as a sine or cosine function with a double amplitude 2b = 50 mm. The mass of the car is 1800 kg and the stiffness of each of the four car springs is 35 kN/m. Assume that all four wheels are in continuous contact with the road, and neglect damping. Note that the wheelbase of the car and the spatial period of the road are the same at L = 3 m, so that it may be assumed that the car translates but does not rotate. At what critical speed v_c is the vertical vibration of the car at its maximum?

Transcribed Image Text:

OG 261 2 2 -2L