Center of Gravity Information Interesting Read.More Math stuff

[lennyzx11]

After starting a spirited discussion earlier this year on the physics of moving the rear tires outward causes and effects, I thought I'd bring something else to the table I've ran across.

Original thread http://www.tractorbynet.com/forums/owning-operating/360777-physics-question-leverage.html

This is an in depth article and calculator on determining where the Center of gravity is on a vehicle.

Technical Articles

Baseline Your Suspenison

What is interesting to me that I didn't know was how they found the vertical height of the COG(center of gravity).
This can be done with a tractor I believe and changes to the physical configuration of the setup figured. Like with a ballast box, filled tires Brush hog or FEL connected with full bucket or not, etc.

Anyway there's the link and I'm looking forward to everyone weighing in. I gotta admit I'll probably be trying it one day to see on my Kubota for "just wondering".
(It would be interesting to where old Cubs and other offset tractors COG is located.)

Yes. it is a slow day at work and I'm caught up....
Lenny

 

[Piston]

It appears that article is referring to the lengthwise (or Longitudinal) center of gravity. What you want for a tractor is the transverse (side to side) center of gravity. That is, if your trying to find the point at which it would tip over sideways.

It hasn't been too long since I last studied this, but already the theory and mathematics are fading away. I'm by no means an expert, but have dabbled in it in the past.

 

[lennyzx11]

One link didn't show up. (I fixed it) it shows the initial how to for figuring the front to back and side to side COG. Sorry about that.

The point was knowing where the exact point of the COG is in all three dimensions. Once that is known, if it gets "past center" of a tire (or two?) contact patch, then the tractor would tip. (Unless you could drive out of it but doubtful at that point)
This actually could also be used for the Longitudinal when the tractor is going down a hill or up a slope for theory in when it would flip or raise the rear wheels off the ground and have no braking ability.

But my butt is more tuned to that calculation than any math!

There's a lot of smart people hanging out here I've noticed.
They've about decided what color tractor is the best, rotary or flail mower is better, wheel spacers or not, so something new to discuss.

PS... And Piston with that attachment of yours. You are just showing off! Ow you've made my head hurt...

 

[Piston]

Those are all stability calculations/formulas. They are related to ships in water but I'm sure the theory is similar, instead of buoyancy counteracting the tipping motion, it would be the hard ground under the tractor.

It's pretty difficult to come up with hard and fast calculations because there are so many variables. The biggest being the width of the tractor and incline of the hill, but then there are other factors to consider such as how hard or soft is the ground, are the wheels turned hard over or straight ahead, is the tractor perfectly perpendicular to the I'll or at an angle, and of course any weight will change the calculation, such as a 3 point hitch implement raised or off the ground (or none at all), is there anything in the bucket and what height etc.

It's way past my intelligence level to come up with an answer, but the theory can be interesting.

And yes, it makes my head hurt as well!

 

[oosik]

Piston,

If those are the type of calcs you are into - any discussion on that level zipped so fast over my head, I didn't even notice it. :confused2: