The car is modeled as springs connected to two bars. The bottom of the left tire is the origin. The car chassis is represented by a bar of mass M. The position of the chassis is given by and :

The left tire is always on a flat surface, while the right tire periodically goes over a bump. The bump is defined as follows:

The distance between the wheels must always remain fixed, and the car chassis must always have a fixed length:

Derive the equations of motion using Newton's law:

Define the parameters associated with the system:

Solve and visualize the solution: