A live center is one way of holding a workpiece in the headstock of a lathe, whereas a dead center is used to hold the work in the tailstock:

Name: A live center is one way of holding a workpiece in the headstock of a lathe, whereas a dead center is used to hold the work in the tailstock:
Brand: Quizplus
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Question

Quizplus · Accepted Answer

both live centers and dead centers are used in the tailstock.the live center rotates with the work whereas the dead center does not rotate.

A Live Center Is One Way of Holding a Workpiece