An 90 kg person steps into a car of mass 2600 kg, causing it to sink 2.35 cm on its springs. Assuming no damping, with what frequency will the car and passenger vibrate on the springs?

1 answer

The spring constant is
k = (90*9.8N/0.0235 m) = 3.75^10^4 N/m

and the vibration frequency is

w = [1/(2 pi)]*sqrt(k/Mtotal)

Mtotal = 2690 kg

w = ___ s^-1