# Tree cutting word problem

## Homework Statement

a tall tree and a short tree of the same mass density and width are cut at the base at the same time. why does the small tree hit the ground first?

## Homework Equations

none. its a word problem

## The Attempt at a Solution

gravity id pushing in different ways?

simple hint: How far does the top of the tree have to move for a small and for a large tree? could a tree that's twice as tall move twice as fast?

harder: replace the tree with a pole with length l. suppose it's at an angle A from the vertical. Draw a free body diagram and find all the forces. You could also find the speed at angle A with conservation of energy. Solve the differential equation for the movement of the tree. (probably needs to be done numerically)
A problem is what the initial angle, or the initial speed of the tree would be.

phinds
Gold Member
2021 Award
saying that a word problem has no relevant equations is just silly. If there are no equations, then you are not going to get any answer.

saying that a word problem has no relevant equations is just silly. If there are no equations, then you are not going to get any answer.

really? because the answer above you helped me and they didnt use any equations?

phinds