Model the motion of a car as it goes down a bumpy road.
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 .
X
The left tire is always on a flat surface, while the right tire periodically goes over a bump. The bump is defined as follows.
In[1]:=
X
The distance between the wheels must always remain fixed, and the car chassis must always have a fixed length.
In[2]:=
X
Derive the equations of motion using Newton's law.