Question

The weight applied to one side of the bonnet of the car is around 750 N....

The weight applied to one side of the bonnet of the car is around 750 N. The spring constant of the spring in the car is 25kN/m. The mass of the car is listed in the handbook as 1120 kg. Calculate the natural frequency of the car suspension. (Remember that a car has four parallel springs in the suspension system)

ANSWER: [1.5 Hz]

Whilst driving along a particularly undulating stretch of road the driver noticed that at a speed of 70 km/h the car bounced up and down dramatically as it went over the humps. Calculate how far apart the undulations in the road are likely to have been, if the effect noticed was due to resonance of the car suspension system.

ANSWER: [13 m]

Solutions much appreciated :)

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