Limited slip differentials (LSD), methods for making and methods for using such LSDs, and motor vehicles employing an LSD. An LSD for a motor vehicle includes a differential casing that drivingly connects to the driveshaft, and two side gears rotatably mounted inside the casing. Each side gear drivingly connects to a respective axle shaft. One or both side gears includes a respective friction surface. One or more pinion gears are mounted inside the casing and meshingly engaged with the side gears. One or more friction plates are movably mounted inside the casing to selectively engage with and disengage from a friction surface. A centrifugal spring mass, which is mounted to one of the pinion gears, includes circumferentially spaced springs that expand responsive to a predetermined disparity in rotational speed between the side gears and thereby urge the friction plate(s) into engagement with the friction surface(s).