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

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Homework Help Overview

The discussion revolves around the dynamics of falling sticks of different lengths, specifically comparing a 3-meter stick to a 1-meter stick. The original poster is exploring why the longer stick appears to fall more slowly when released.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to relate the problem to torque, questioning how torque at the center of mass affects the falling motion of the sticks. Some participants suggest the need for equations and diagrams to clarify the forces and torques involved.

Discussion Status

Participants are actively engaging with the problem, offering suggestions for visual aids and equations to better understand the relationship between torque and angular acceleration. There is an ongoing exploration of the assumptions regarding the effects of length and weight on the falling motion.

Contextual Notes

There is a mention of the original poster's confusion regarding the expected outcome based on torque considerations, indicating a potential gap in understanding the relationship between torque, angular acceleration, and the physical behavior of the sticks.

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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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