An old car being moved by a magnetic crane pickup is dropped from a short distance above the ground. Neglect any damping effects of its worn-out shock absorbers and calculate the natural frequency fn in cycles per second (Hz) of the vertical vibration which occurs after impact with the ground. Each of the four springs on 1000-kg the car has a constant of 17.5kN/m. Because the center of mass is located midway between the axles and the car is level when dropped, there is no rotational motion. State any assumptions.
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