Just kidding. Are they stock tyres? Was the truck in a smash up that may have damaged the gears of the servo or bent anything on the steering? When trying to steer on the carpet, does the servo keeps whining like it is spinning, some other noise, or does it just make noise for the normal amount of time and then stop?
I'm assuming you are talking about the TRX-4 Bronco? If it is, then it's most likely the plastic servo horn that's stripped out (the black part attached to the servo). Traxxas offers a metal servo horn for $6 and you can probably get that so it doesn't happen again.