Final answer:
The active suspension system controls vehicle balance by adjusting shock absorber pressure during uneven weight distribution. Frequency and period of car oscillations are calculated using the car's mass and suspension system's force constant to determine the natural frequency.
Step-by-step explanation:
The active suspension system adjusts vehicle balance by adjusting the fluid or air pressure of shock absorbers or struts when too much weight is suddenly shifted to the wheel. To understand this, consider the physics of a shock absorber, which is designed to damp motion and dissipate energy in a car, much like the resistance in an RLC circuit. The mass of the car and the spring constant of the suspension system determine the resonant frequency of the car's oscillations.
For example, if a car's mass (including its load) is 900 kg and the force constant (k) of the suspension system is 6.53×104 N/m, the frequency (f) of oscillations can be calculated using the equation for the natural frequency of a mass-spring system: f = (1/2π) ∙ √(k/m). Similarly, the period (T) of the oscillations, which is the inverse of the frequency, can be determined using T = 1/f.