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

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In summary, the conversation discusses the reason why a longer stick falls slower than a shorter stick when pushed. The person attempts to use the concept of torque to explain this, but is unsure how to proceed. They request for equations and a diagram to better understand the problem.
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GoCubs12
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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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  • #2
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?
 

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

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

The reason a longer stick falls over slower than a shorter one is due to the difference in their center of mass. The center of mass is the point at which an object's mass is evenly distributed. A longer stick has a greater distance between its center of mass and its base, making it more stable and less likely to fall over quickly.

Does the weight of the stick affect its falling speed?

Yes, the weight of the stick does have an impact on its falling speed. Heavier objects have a greater force of gravity acting on them, causing them to fall faster. However, in the case of a longer stick, the difference in center of mass has a greater effect on its falling speed than its weight.

How does the shape of the stick affect its falling speed?

The shape of the stick can also play a role in its falling speed. A longer stick with a wider base will have a lower center of mass, making it more stable and less likely to fall over quickly. On the other hand, a shorter stick with a narrow base may have a higher center of mass, making it more top-heavy and prone to falling over faster.

Can a longer stick ever fall over faster than a shorter one?

In certain situations, a longer stick may fall over faster than a shorter one. This can occur if the longer stick is not perfectly straight and has a slight curve or bend, causing its center of mass to be closer to the base and making it less stable.

Is there a scientific explanation for this phenomenon?

Yes, the phenomenon of a longer stick falling over slower than a shorter one can be explained by the principles of physics, specifically the concept of center of mass. The location of an object's center of mass in relation to its base plays a crucial role in its stability and falling speed.

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