Can a RAPIER or SWORD be TOO LIGHT to CUT?

Can a RAPIER or SWORD be TOO LIGHT to CUT?

A
Ancient Swords
39 Video Views·Feb 13, 2025

I have seen it said that choppy rapiers, or swords in general, are heavier, while some swords, and specifically rapiers, can be too light to cut. Or in other words, we can decide whether a rapier can cut or not by its weight. Does that argument hold any...weight?