Help with Car Shocks Physics Problem

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When a car rolls over a hill, the forces that determine whether it will jump or stick to the road include gravity and the combined effects of the car's shock absorbers. The shock absorbers can be modeled as springs and dampers, where the spring force is proportional to compression and the damping force is proportional to velocity. To analyze the situation, a differential equation can be formulated that incorporates these forces along with the constant speed of the car. Understanding these dynamics is crucial for predicting the car's behavior during the maneuver. This analysis is essential for solving the physics problem effectively.
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Hey everyone,

I have this little problem in my physics class and I need some help.When a car rolls over a hill, which forces are applied to determine if the car will jump or stick to the road. I know there's gravity, no acceleration (constant speed) and I need to consider the four shocks of the car as one. I'd need a differential equation out of that.

Thanks

:confused:
 
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Well, here's a starter.

In simple terms, the force a spring exerts is proportional to the amount by which it's been compressed. The force a simple damper exerts is proportional to the velocity at which it's being actuated.
 
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