A web rewinding apparatus having a mandrel cupping assembly for releaseably engaging unsupported ends of a plurality of mandrels is disclosed. Each of the plurality of mandrels extends generally parallel to the web winding turret assembly axis. Each of the mandrels is driven in a closed mandrel path about the web winding turret assembly axis. The mandrel cupping assembly comprises a cupping arm turret having a cupping arm turret central axis, a mandrel cup cooperatively associated with each mandrel of the plurality of mandrels, and a first actuator.