I have tugged a little of everything over past 3 years ( & 450,000 miles), even new V nose Toyhaulers. In a dually I only notice the reduced mpg with flat nose trailers no difference in handling - however they are all empty enroute to dealers.
If a person is having sway issues, one or more of 4 things is going on:
1. The trailer is not 10-15% front heavy balanced, if you are pulling 10,000 lbs you better have 1000 to 1200 lbs weight on that ball at least. > provided the hitch and truck are capable and not overloaded.
2. the trailer is not sitting level when loaded and hooked up, a nose high setup is just asking to put yourself in the ditch (buy a proper drop hitch, top of ball should be approx 18-19" once connected and loaded) excessive nose down is bad too.
3. The trailer axles are not aligned properly - but should have tire wear issues bringing that the light quickly.
4. The tow vehicle is not properly matched to the load and / or has had suspension modified (3/4 ton owners w 6" lift yes I'm talking to you) and is squatting etc excessively thus affecting handling & trailer sway.
How do you know how much tounge weight is on your hitch? Weigh Safe
Cautionary note, just don't click this link and buy blindly, this is a 3" shank hitch rated for 21K bumper pull, only real truck need apply
Yes they make smaller ones for you Chevy and Ram owners
with regular 2" & 2.5" receivers (as pictured below) the 3" version scale goes to 2500 lbs tounge weight.
https://www.amazon.com/gp/product/B07CSFVQTR/?tag=sxsweb24-20
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