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Cool science trick...your kids can do...

dasari4kntr

By dasari4kntr
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Catalpha Sr. Hero

Catalpha

Posted
Posted
  On 8/27/2020 at 6:25 PM, Epic said:

How is it possible?

Load Fulcrum? Center of Gravity? ---- time to look up

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Creating a resisting moment further away from the support with the toothpicks provides stability to the system. 

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Ellen Celebrity

Ellen

Posted
Posted
  On 8/27/2020 at 6:25 PM, Epic said:

How is it possible?

Load Fulcrum? Center of Gravity? ---- time to look up

Expand  

An easier way to understand why the arrangement is static is to think about energy. The arrangement will be static if it is in a minimum of energy. Addition of the two toothpicks to the rope/bottle arrangement introduces a geometric constraint that makes this arrangement a minimum of energy.

I don't know if you are familiar with the concept of virtual work, but basically, to analyze if a situation is at an energy minimum, we presume we move the assembly as allowed by its geometry by a very small distance, and see if energy is increased or decreased. If energy increases for all possible movements, then we are at an energy minimum and have static equilibrium.

First, consider the initial configuration, with only 1 toothpick, the rope and the bottle. If the bottle goes down. energy is reduced. Since the toothpick is completely free to rotate about the table, the bottle can go down, and we are not at equilibrium.

In the second situation, the two additional toothpicks add a constraint. If the "original" toothpick is rotated a bit, the bottle will go up, as the new "vertical" toothpick would force the new horizontal toothpick, in the rope, to move towards the table. Since we are pivoting about the table, this horizontal movement has to be along an arc and the horizontal movement has to be accompanied by a vertical movement in the up direction, which will raise the bottle a bit. This movement is therefore not allowed to occur spontaneously.

Note that this requires enough friction with the table. If there is no friction, a combination sliding/rotating movement is allowed and the arrangement is not stable. This is related in forces term to the fact that there must be an horizontal friction between the vertical toothpick and the original table-supported toothpick, as the "vertical" toothpick is not completely vertical.

 

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Physics stack exchange

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