Tree as a lever

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Arbor Vista

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Could someone explain in Arborist terms the advantage or disadvantage of placing a tug-line aloft in a tree with a pull parallel to its height or with a pull towards the ground? As the angle increases, does the moment change, does the force required to bend the moment change? Thanks for your input.
Phil
 
Pull straight down a telephone pole would be inline compression, no tourque/ leverage. Pull perpendicular to pole would be fully leveraged. Leveraged being a measure of sideways/ non-inline pull/push. Things working in axises; so that a pull straight up on telephone pole or pull straight down is inline axis; axis of pulls perpendicular across as leveraged. Other pulls having vector of some inline and some leveraged force. Pull inline on ratchet, no advantage; pull perpendicular to ratchet; full advantage; every degree less than perpendicular is loss of leverage potential.

Leveraged Force would be potential leveraged force X sine. Potential leveraged force would be height of hitch X line tension; or length of hand from bolt X force input on ratchet.

So, at 90degrees/ perpendicular pull to pole, sine is 1; so recieves full potential leveraged force. Sine of 70 degrees is ~.94; so pole recieves potential X 94% etc.

Similair to this Leverage of Lean Calculator. Only rope angle is leveraged on straight spar(instead of spar leaning), and center of gravity is hitchpoint.






30 degrees from inline, gives 50% of potential leverage. A 30 degree lean, places top of pole to be hover over 50% of the fall distance; height of top of pole would be 86.6% of pole's vertical height; as given by cosine of 30. Can also use Windows Calculator Freebie and set View -> Scientific; to punch in angle, then find sine and cosine easily to multiply potentials by for leverage and height readouts. Lean height and gravity force direction gives right angle at top, so can use geometry of right angles.

i was just talking to Tom about how a 30degree/1o'clock lean can give error on rake trick, better to pace off!
 
The Tree Spyder is correct, I'm not articulate or mensa enough to go there. The less of an angle means more force in pulling, also, and this is very important, it gets you away from the tree. When the tree hits the ground, there should be lots of room between the tree top and you. None of this pull the rope and run nonsense.
 

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