Friction Hitches            

Trees are a wonder of extremes in our world.  No species of life has ever been able to get so much out of Nature, live in such an accord; as to be able to have grown bigger or heavier, let alone then sustain themselves biologically and structurally in this environment.  They also are the stiffest, strongest life, thus allowing them to be the example too, of the most leveraged structure.  This most leverage-able structure multiplies forces of the most massive size and weight; therefore trees deal with the most loaded mechanics too.  The fact that trees stand tall rather than lay down, takes the extremes of leveraged forces, and adds the ability to fall into them.  This gives impacting multipliers, as well as changing equations as the movement causes the tree's force to change speed and leveraged angle all at once.

Trees are the top contender to be studied in these categories; that we can learn more from than teach them!  The same forces are present in all things, to less magnified forces.   So, we are able to see these forces that are present in everything; more clearly at this magnification.  In trade for having to contend with such massive dynamic forces brought about by trees being the largest, stiffest, heaviest, highest etc. and to be able to support all that biologically and mechanically with the longest lifespan!

Below is insight into the loads and counter balancing supports, that allow a massive tree to stand on 1 small stump, even as it is whipped around in the wind etc.  No other lifeform has ever had so much size and weight to support, let alone standing so stiffly and then straight up on top of that.  To stand straight up, trees must be stiff, which allows their length to compound their massive weights for massive leveraged force against the support of the singular, small  connection to the ground of the stump.

   Center of Gravity (CG) of a tree is it's Total Force...

The Center of Gravity (CG) is where a tree will hang perfectly balanced from, the sum total of the tree's massive force, direction and leverage in one point to evaluate.   Also, when a whole tree moves, it moves from it's CG! The efficiency of any effort or pivot positions on tree support, are always in consideration to how those forces address the sum total of the tree force/personality, in the CG. This CG / mechanical center; is the sum total expression of the tree's load in a system; the rest of the tree shape is actually just handles by which to effect the CG by, with pivot and effort!

Tree on Side Shows CG

 If you take 2 exactly a like broomsticks and place 10# weights on each one in different places, they will react differently when held the same, and the CG is all that changed!   The shape of the broomstick/ball is just where you can grab in consideration of the CG force.  All things are like that.  Trees size just offer a magnified view of these principles.

Broomstick Grip

The rope doesn't hitch the tree shape 'handle' at CG (total sum of the force point), so logically green end will tip down.  If you pulled down on the opposite (root) end, you might be able to make the tree hang balanced on the rope again.  The pivot of the point the tree hangs by is the rope.  The point where you pull down at is the effort input point.  The pivot point of the rope, and the effort input point that you pull on, just grab the tree as a handle, to affect the total personality/ force (CG) of the tree.  Only these 3 points exist, competing on the shape of the tree; to affect support and movement. 

Tree Hanging Off Balance

As the Center of Gravity of the tree pulls down on one side of the blue arrow (compression/pivot part of stump); tension fiber of the stump pulls down on the other side of the blue arrow as counterbalancing support against the CG force.  Like a see-saw, balanced on the Blue Arrow, with Red Arrow pull down forces on either side.  So the Blue arrow carries both of the leveraged pull downs of the 'Red Arrows' CG and the Tension hold fibers in the stump.  Once again you only have 3 items: the CG, Blue Pivot of compressed fiber and Red stretched fibers (as work effort input), no matter how big the tree.

The CG is what to look for first; it sets the whole mechanics for the system.  The CG is the active force component, dictating all else; the support of the pivot and a tree trunk are not active forces.  They are passive forces, that are only reactions to the CG's force.  In fact, the pivot and pull as passive forces that support a tree, balanced from falling over; don't exist without the pull of the active force - CG initiating them!

Only 3 points to consider

Push and Pull in Small Stump to Support Whole Tree...


  This CG force will push down on closest part of tree stump to it's lean.  This causes that point to be the pivot of the support.  The stump provides this pivot and then the effort input force.  The CG pull causes the responding pivot and the effort to hold positions; as well as their specific location on the small stump.

Line (D) that runs from the CG to the compressed pivot area of the stump, becomes the loaded axis of the mechanics of the support.  Compressions and tensions (pushes and pulls) on this line give the most leveraged support, by definition.  The compressed pivot spot on the stump to the CG is the load's leverage.  As any of these mechanics to maximize, the tree will seek to use both the opposite and equal forces to support, leveraging the most from both pushes in the stump fiber as well as pulls in the stump.
The loaded axis (D) continues from the CG thru the compressed portion of the stump, to the opposite side of the stump.  The most leveraged tension, pulling support will be on this loaded axis, opposite the load of the CG.  The most powerful leverage on that axis is the farthest out from the compressed pivot.  Because this is the most powerful direction and leverage, Nature will use the fibers in these (F) positions for pulling support in the stump, to counterbalance the pull of the CG.
In this way, a tree uses both the pushes and pulls in the stump, to maximize the whole growth to support.  (Co-dominates don't maximize  the whole growth as support) Further yet, the tree will seek to continually improve the leverage of both the push and pull supports in the stump in growth.  As the tree grows in exterior rings, it sets the pivot more towards the loading of the CG so the pivot' push has more leverage over the loading of the CG point, as well as increasing the leveraged distance across to the tension/ pulling fibers side.  

As a tree doesn't replace wood, but seals over, it uses it's resources to give support in the most leveraged locations too, rather than replacing lower leveraged internal lost area of trunks etc.   For only increasing the size across gives more leverage to the mending point!

Growth Increases Leaverage

As all the forces come to bear on the stump, as both pushup of the pivot side and pull back of the tension side support the tree; the stump passes these loads onto the roots.  The roots on the loaded axis from the pivot part of stump towards the CG support against the compression pulling forward.  As the roots on the tension side are extended leverage of pull from the tension side of the stump.

The root crown should be left clean of soil, mulch etc. to both be more biologically healthful, but also so that this root crown is more inspectable for the loads it carries!  All this tree size, had a cost to the system to produce, and the system uses all of it to support the huge massiveness.  The farther roots stretch outward, the more leveraged resistance securing against the massive leveraged lean.  Similar to the increase in stump size in year to year growth giving more leveraged distance to resist pull of the initiating CG.  The spanning wider of roots on the loaded axis give increases in leverage against the pulling force CG.  Co-dominate and included bark as growth faults do not use the total growth area to leverage tree support; therefore fail.