Why does a longer stick fall over slower than a shorter one?

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A longer stick falls slower than a shorter stick due to the effects of torque and angular acceleration. While a longer stick has a greater torque due to its length and weight, this does not directly translate to a faster fall. The distribution of mass and the center of mass play crucial roles in the dynamics of the fall. Understanding the relationship between torque and angular acceleration is essential to solving the problem. A diagram illustrating these forces and torques would aid in clarifying the concepts involved.
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Homework Statement


Why does a longer stick fall over slower when pushed?

So for example, you have a 3-meter stick and a 1-meter stick. You hold them so they run from the floor toward the ceiling. You let go of each stick and they fall as a tree would. Why does the longer stick fall slower than the shorter stick?

Homework Equations



The Attempt at a Solution


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I tried to tie this problem into a torque idea but using torque at the center of mass indicates that the larger stick should fall faster as there is more torque being applied to it since the leer is longer and it is also heavier. I have no idea how to go about this problem no

Any suggestions would be greatly appreciated.
Thanks
 
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I think we need to see some equations!
 
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Please draw a diagram of a falling meter stick, show the forces and the torques, and then you can go from there.
 
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GoCubs12 said:
the larger stick should fall faster as there is more torque being applied to it since the leer is longer and it is also heavier.
But what equation relates torque to angular acceleration?
 
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