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

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The time it takes for a cut 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 and g is the acceleration due to gravity. The tree pivots from its base and starts at zero velocity, accelerating as it falls. The discussion suggests that the scenario resembles an inverted pendulum. Wind resistance is not a factor in this calculation. Understanding this physics principle can help accurately determine the fall time of a tree.
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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
 
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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.
 
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