The taper provided in the nose of the tailstock barrel is Morse taper.

A faceplates are used to hold work that is too large or of such a shape that it cannot be held in a chuck or between centers. Faceplates are equipped with several slots to permit the use of bolts to secure the work, so that the axis of the workpiece may be aligned with the lathe centers. When work is mounted off – center, a counterbalance should be fastened to the faceplate to prevent imbalance and the resultant vibrations when the lathe is in operation.

Morse taper is used on spindle nose of the lathe headstock.

Advantage of tailstock spindle having left handed threads is that it ensure that the barrel advances with clockwise movement of hand wheel.