In a previous work, we established the closet form of the potential generated by a massive inhomogeneous
straight segment. We studied the dynamical behavior in the field of this segment at rest. Now, we plane to explore the
case where the segment is in rotation around the axis perpendicular to the plane of study. We prove the existence of collinear
and isosceles points of equilibrium. Their stability depend both on the rate of rotation as on the parameter governing
the mass distribution of the parabolic profilE of density.