2) For the bicycle to proceed smoothly on the platform it is necessary that:\\
– to the left and right of the points of non-differentiability the sections of the graph are orthogonal;\\
– the length of the side of the square wheel equals the length of a "bump", that is, the arc of the curve with equation $y = f(x)$ for $x \in [-a; a]$.
Establish whether these conditions are satisfied.${ } ^ { 1 }$