Hi Folks:
Drew invited me over here to help with the dialogue a bit as I was the 'bigfooter' that originally threw up the force numbers.
Admittedly, I used a basic moment diagram to determine the torque experienced at the base of tree when a 700 lb force, traveling at 20 mph is applied at 45 feet from the anchor point (vertical cantilever).
I like that Ben (I think it was Ben) included the elasticity of the tree, but I'm not certain that would change the torque experienced at the base much (Ben or others, please correct me if I'm wrong) as it changes the vector of the force as the tree bends, and adds the weight of the displaced tree from bending to the force....I was dealing with rough numbers.
I simply wanted to show that a 700 lb weight, traveling at a certain speed, could create the torque needed to topple a 24" diameter trunk tree. Which, if I'm not mistaken is around 225,000 ft.lbs of force (again, someone please correct me if I'm wrong).
SO, a 700 lb object, traveling at 20 mph creates 6256 lbs of force.
This 6256 lbs of force, applied perpendicular to a beam at 45 feet creates 281,500 ft.lbs of torque at the base. I have a Free Body Diagram showing this, but unfortunately the forum won't let me upload from my comp. I'm sure this portion of the calculation won't be disputed as described.
So, in the end, I say that 700 lbs, traveling at the proper speed can create the torque needed to snap/topple the tree.
O.....