A car has a unibody-type frame and is sup- ported by four suspension springs, ea

Question

A car has a unibody-type frame and is sup- ported by four suspension springs, each with a force constant of 25200 N/m. The com- bined mass of the car’s frame and everything inside it (the engine, the seats, the passengers, etc.) is 1120 kg. Because of worn-out shock- absorbers, the car vibrates up and down every time it is driven over a pothole.
What is the frequency of this vibration? Answer in units of Hz.

Explanation / Answer

Spring in parallel has K(equivalent) = K1 + K2 + K3 ..... => for the question with 4 spring with K = 25,200 N/m we have K(equi) = 4*25,200 = 100,800 N/m T= 2pi*square root(m/k) = 2*pi*square root(1120/25,200) =1.32 sec Frequency = 1/T= 0.75 Hz

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