No Living Man

[Halbarad]

Just to address Hot and Crispy's statement which, strangely, no-one bothered to do

Same kind of sword, same race of hobbit, different results. Frodo probably missed...

After Weathertop, Aragorn found something:

'Look!' he cried; and stooping he lifted from the ground a black cloak that had lain there hidden by the darkness. A foot above the lower hem there was a slash. 'This was the stroke of Frodo's sword,' he said. 'The only hurt that it did his enemy, I fear...'

Frodo did strike at the feet of his enemy, but he definitely missed. Probably had his eyes closed, or his stroke went astray when he hit the ground.

[the phantom]

Yes, Frodo missed. Between Weathertop and Rivendell, his right arm gave him no trouble and he was even able to brandish a sword at the fords. He would not have been able to do that had his sword actually touched TWK.

Also, Frodo's sword remained intact, did it not? Aragorn said "all blades perish that pierce that dreadful King". If Frodo's sword did not perish, then it did not touch TWK.