In the US it's called spanking, and would be carried out manually, via a belt (using the buckle if you're a true sociopath), a "switch" - a small, whiplike sapling or tree branch, or a paddle which looks like a small cricket bat.

When I was in primary school in the 90's, it was technically still allowed by the state, and was threated by teachers, but I don't believe it was ever actually done, and I believe is illegal now.

That said, this entire thread is a shitshow and further convinces me that no one has any idea what they're doing or probably even any coherent idea of why they're raising children in the first place or what they want for those children, and reinforces my decision to opt-out of the whole idea.