Men do cut sheep's wool off with large shears, and send it to the mill.
In Australia, a robot that shears sheep.
Shears come in many sizes and are designed to perform a specific type of cut.
You can cut most carpet tile with a pair of shears or a utility knife.
They must be kept trimmed in or clipped, especially in their earlier stages; trimming with the knife is much to be preferred to clipping with shears.