States differ a to how heavy a towed trailer can be before brakes are required. While a towed vehicle may not technically be a trailer, case law in some states may have made it so.
http://www.rvibrake.com/Towing-Laws-s/1826.htm
Some States are as low as 1,500lbs, while some are as much as 10,000lbs. Some don't specify a tow weight, but require a certain stopping distance. But the typical tow weight limitation is 2,000 or 3,000lbs. Only one State (Missouri) has no limit at all.
However, the State limit on trailers without brakes is often a moot point, as typically non-diesel motorhomes have a 2,000lb maximum towed weight before the vehicle requires brakes.
There may be a few motorhomes out there that are the exception, but I think you will find most motorhomes require brakes for tow weights over 2,000lbs.