How Does Car Suspension Behavior Change With a Malfunctioning Shock Absorber?

[sparsh]

Hi

The question is

In practice the suspension system of cars consists of a spring under compression combined with a shock absorber.which damps the vertical oscillations of the car . Drwa sketch graphs one in each case to illustrate how the vertical height of the car above the road will vary with time as the car just passes over a hump if the shock absorber is a) functioning properly b) improper functioning...

when a driver of mass 80kg steps into a car of mass 920 kg the vertical height of the car decreases by 2cm . If the car is driven over a series of equally spaced humps the amplitude of vibration becomes much larger for a ertain velocity.
- Explain why this occurs and calculate the particular velocity .

Please help me out with the above problems. I could not get anything related to it .

 

[member 553083]

The suspension system of a car consists of a spring and a shock absorber, which is designed to damp the vertical oscillations of the car when it passes over a hump. When the shock absorber is functioning properly, the vertical height of the car above the road will vary in a sinusoidal manner with time, as the car passes over the hump, with the amplitude of the oscillation gradually decreasing until it reaches a steady state. However, when the shock absorber is not functioning correctly, the amplitude of the oscillation will increase dramatically, resulting in a much higher vertical height of the car above the road.When a driver of mass 80kg steps into a car of mass 920 kg, the vertical height of the car decreases by 2cm. This is due to the additional weight of the driver, which causes the spring to compress slightly. When the car is travelling at a certain velocity over a series of equally spaced humps, the amplitude of vibration will increase due to the increased inertia of the car. This is because the car has more momentum at this velocity and therefore is able to overcome the damping forces of the shock absorber more easily. To calculate the particular velocity at which this occurs, we can use the equation v=√2gh, where g is the acceleration due to gravity and h is the height of the hump.