I don't know if this should be on stack overflow or here, but I'm gonna ask it anyway:
I need an equation for the graph of relation between the camber angle (the angle between the ground and the axis of rotation) and contact patch in a tire.
For angle $\theta=0$, the area is a. For some angle $\theta_{max}>\theta$, the area is $a_{max}>a$. For another angle $\theta_{min}>\theta_{max}$, the area theoretically is 0. (This is practically impossible.)
X axis is camber angle, while y axis is contact patch. The graph is a curve with $\theta_{max}$ in the first quadrant. The curve also doesn't start from 0, but from $a$ (area) on y axis, moving up until $a_{max}$, corresponding to $\theta_{max}$ on x axis and then falling until it intersects the x axis at $\theta_{min}$.
Any quick and dirty solution would do, as long as it bears some semblance to the curve I described above. Thanks in advance. Also, I couldn't post the picture of the graph because either the internet is crap, or there's something wrong with my mobile phone, so I'm sorry.