P5.10 While driving a car on a road, the bumps cause the wheels and the connecting axle to oscillate on the springs. (a) When four 80 kg persons climb into the car, the body sinks by a couple of centimeters. Estimate the spring constant k of each of the four springs. (b) If an axle assembly (axle plus two wheels) has total mass 50 kg, what is the natural frequency of the assembly oscillating on its two springs? (c) If the bumps on a road are 80 cm apart, at about what speed would these oscillations go into resonance?
P5.10 While driving a car on a road, the bumps cause the wheels and the connecting axle to oscillate on the springs. (a) When four 80 kg persons climb into the car, the body sinks by a couple of centimeters. Estimate the spring constant k of each of the four springs. (b) If an axle assembly (axle plus two wheels) has total mass 50 kg, what is the natural frequency of the assembly oscillating on its two springs? (c) If the bumps on a road are 80 cm apart, at about what speed would these oscillations go into resonance?
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Transcribed Image Text:While driving a car on a road, the bumps cause the wheels and the connecting axle to oscillate
on the springs.
P5.10
(a) When four 80 kg persons climb into the car, the body sinks by a couple of centimeters. Estimate
the spring constant k of each of the four springs.
(b) If an axle assembly (axle plus two wheels) has total mass 50 kg, what is the natural frequency
of the assembly oscillating on its two springs?
(c) If the bumps on a road are 80 cm apart, at about what speed would these oscillations go into
resonance?
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