Bah, can no long remember the name of the mower type. all i can remember is "gangs" blades are setup on a drum. and you just roll across the yard. they are old fashioned push mower (without an engine) the mower type reduces amount of HP needed by the tractor by a good amount compared to a rotating finishing mower. problem is they do not do so well in taller grass. *ggrr what is the name of them*
REEL type mowers. was what i was trying to remember.
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as far as deflating tires. to get a little more ground contact between tire and ground. it depends.
if you can deflate the tires to a point were side walls of the tires bend some you can get some extra contact to the ground. but major con of this, is you get to a point were there is simply not enough air / pressure in the tire to keep the tire on the rim. and one good turn or bump. and there goes the tire. and possibly needing a new one, due to tire got ripped or torn enough that yes tire will fit back on rim. but there is a good tear in the tire.
do not get me wrong, i will deflate my s-10 blazer tires some for some terrain when i know i will be working non stop on the farm and using the blazer for some better traction. vs having tires maxed at 28PSI and tires will just spin up on a rut, vs ovaling out some or perhaps even denting some, to roll up and over a rut or small log.
if i had a 4 wheeler, and had more of balloon shaped tire. were the side walls of the tire are not flat. but round as well. i might let some pressure out for some better traction, and perhaps less rutting. but again if i let the pressure out, there is higher chance, the tires will come off the rims. and for a 4 wheeler a good chance the rims will spin and the tires will not spin at all.
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traction vs rutting....
if my wheels begin to spin, or do slip some. i am making some pretty good ruts for sure.
if i can keep my tires moving along without slipping, less likely i am going to make ruts, and if i do, the ruts are not all that bad. and for most part end up compacting the dirt, or the dirt slides out from under my tires some. and need a lawn roller to kinda flatten things back out afterwards.
heavier machines do make deeper ruts (more weight to compact dirt, or cause mud to slide to the outside of the tires) but do you really need to be scalping the yard down to 1/2" height? raise the deck up some, and let the grass grow a little taller. it can help hide some rutting / low spots within the yard.