One other thing to try is the quick-change mandrel that Dremel has for the rotary tools. Because of how the mandrel and wheels are designed, it locks the cut off wheel in place so it has no chance of spinning.
Quik-Lok (or however it's spelled) is the best advancement in rotary tools in a long time, I love mine
When your lightsabers gutter and die in your hands,
your blaster packs run dry of charge,
your words of power dry up in your throat and I am still standing, what will you do then?
Bookmarks