An independent front suspension of a passenger car carries a mass (sprung mass) of 454.5 kg...

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An independent front suspension of a passenger car carries a mass (sprung mass) of 454.5 kg (or an equivalent weight of 1000 lb). The suspension spring rate is 22 kN/m (125 lb/in.). The mass of the tire/ wheel assembly (unsprung mass) is 45.45 kg (or an equivalent weight of 100 lb) and the equivalent tire stiffness is 176 kN/m (1000 lb/in.). The damping ratio of the suspension produced by the shock absorber is 0.3. If the car is traveling on a sinusoidal road profile with a wave- length of 5 m (16.4 ft) and an amplitude of 5 cm (2 in.), estimate the lowest vehicle speed at which the tire may lose contact with the road. An independent front suspension of a passenger car carries a mass (sprung mass) of 454.5 kg (or an equivalent weight of 1000 lb). The suspension spring rate is 22 kN/m (125 lb/in.). The mass of the tire/ wheel assembly (unsprung mass) is 45.45 kg (or an equivalent weight of 100 lb) and the equivalent tire stiffness is 176 kN/m (1000 lb/in.). The damping ratio of the suspension produced by the shock absorber is 0.3. If the car is traveling on a sinusoidal road profile with a wave- length of 5 m (16.4 ft) and an amplitude of 5 cm (2 in.), estimate the lowest vehicle speed at which the tire may lose contact with the road.