How long does it take for a cut tree to fall flat to the ground?

[Batman123]

I am trying to work out the time taken for a tree that has been cut at its base to fall flat to the ground. More detailed picture here ...http://i.imgur.com/RYS3D.png"
The tree is not experiencing wind resistance, and is pivoting from the centre of the trees base. the tree also starts at zero velocity and then accelerates towards the left

I have been looking at the problem myself and think it must be something to do with an inverted pendulum.

Regards Batman

 

[member 553083]

The time taken for the tree to fall flat to the ground can be calculated using the formula T = 2π√(L/g), where L is the length of the tree from its base to the center of mass, and g is the acceleration due to gravity. So in this case, if the tree has a length of L meters, it will take T = 2π√(L/g) seconds for the tree to fall flat to the ground.