An electromechanical chassis actuator includes a single electric motor and two screw drives. The two screw drives use a common threaded spindle. A spindle nut of the first screw drive is rotationally fixed to the electric motor's rotor and engages the threaded spindle in a back-driveable manner. A spindle nut of the second screw drive is selectively coupled to the electric motor's rotor by a coupler and engages the threaded spindle in a self-locking (not back-driveable) manner. When the coupler is in an engaged position, the actuator operates in a level-adjustment mode. When the coupler is in a released position, the actuator operates in a damping mode.