A measuring device is provided for a motor vehicle, with a bracket (1), with a joint (8), which is connected to the bracket (1) and which has a joint housing (20) and a pivot pin (19) mounted movably in same. A component (2) is provided which is connected to the joint (8) and which is mounted pivotably on the bracket (1) via the joint (8). An angle measuring device (17, 18) is provided, by which the angle (φ) of the component (2) in relation to the bracket (1) can be determined. An analyzer (23) is connected to the angle measuring device (17, 18) and has a double differentiator (24), which is connected to the angle measuring device (17, 18) and which is followed downstream by a summer or integrator (26) via the intermediary of a calculating unit (25).