For some reason i cannot edit my post, so i apologize for the double post in advance, Here is the link For The Backup of the noose. Link removed for copyright reasons.
I Couldnt isolate the Noose in particular, So this is the Base Vehicle File, All the original Cars for GTA IV , Just download this file, and place it Here,
C:\Program Files (x86)\Rockstar Games\Grand Theft Auto IV\pc\models\cdimages ... Your root folder may be located in a differnt place because im running Win 7. So the first part may be incorrect, just get to your root folder, Open Pc, Open Models, Cd Images, the copy the downloaded file into there, when prompted to replace old file say Yes, and your vehicles should all be back to Stock, Anymore questions just post.