A web rewinding apparatus comprising a turret winder and a mandrel cupping assembly is disclosed. The turret winder has a rotatably driven turret supporting a plurality of rotatably driven mandrels capable of engaging cores upon which a web material is convolutely wound thereabout. The mandrel cupping assembly has a plurality of cupping arms each cooperatively associated with one of the plurality of mandrels and having a mandrel cup for releaseably engaging the unsupported ends of the cooperatively associated mandrel. The mandrel cupping assembly has a cupping arm support having a hold-open cam track and a hold-closed cam track. Each cupping arm is carried in a radial path while disposed in either of the hold-open cam track or said hold-closed cam track. A first actuator disposes the cupping arm from the hold-open cam track to the hold-closed cam track.