# Midpoint between forces

1. Apr 20, 2014

### analysis001

1. The problem statement, all variables and given/known data
I am trying to model an equilibrium for the attached picture. The picture is of a square with a small circle in the center of the square. There is a force from the sides of the square that attracts particles to the edges. There is also a force from the circle that attracts particles towards the circle. The two forces are the same value. I am trying to draw the equilibrium, where if a particle lands there, it stays in that place because the two forces are attracting it equally. It is a lot harder than I thought it would be because it is a circle inside of a square. Ideally I would like to mathematically model the equilibrium but I'm not really sure how to. Any thoughts or ideas would be greatly appreciated. Sources that you find would also be helpful. The second image I attached is just showing the direction a few particles move for reference.

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• ###### P2.jpg
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2. Apr 21, 2014

### Staff: Mentor

Same magnitude everywhere?