Wall Road
New member
Any ideas about keeping the chain from riding up on the tree trunk?
Any ideas about keeping the chain from riding up on the tree trunk?
hi, just adding another visual aid to this awesome idea. Good Luck and be safe.
Rhett
Being the geek that I am, I did the exact calculation. The mechanical advantage is actually
F2/F1 = sin a/sin b,
where a is the angle between the post and the ground (75.5 degrees in Rhett's drawing of an 8' post leaned over 2' against the tree), and b is the angle between the post and the chain down to the tree (14.5 degrees in Rhett's drawing). This formula assumes that you're pulling in a perfectly horizontal direction (i.e. your tractor hitch is as high as the top of the post, or you're pulling with a really long chain so that it's essentially parallel to the ground).
Note that it's not the length of the post per se, but rather the angles that determine the mechanical advantage. (Just like with a normal lever the mechanical advantage isn't dependent on the absolute lenght of the lever, but rather on the ratio of the lengths on either side of the fulcrum). However, for a given distance from the base of the tree, a longer post will give you a steeper angle and therefore more mechanical advantage. And more importantly a longer post means that the mechanical advantage is maintained longer (i.e. you can pull the chain a lot further before the post tips over).
For what it's worth, as the angle b gets really, really small, Rhett's simplified formula gets closer and closer to being exact. In his example, the actual mechanical advantage is 3.873:1, which is within about 3% of his back-of-the-envelope calculation of 4:1. If the post was 10x closer to the tree, the angle b would be 1.43 degrees, and the mechanical advantage would be 39.987:1, which is within 0.03% of the 40:1 ratio his formula would predict.
jcaron2,
Nice job with the calcs, being an engineer, I agree. With that in mind, the person using this method must absolutely take into consideration the added mechanical advantage on the cable or chain used from the top of the pole to the tree trunk. I would strongly recommend using a chain as they typically wont whip around as a cable does when it breaks.