Understanding Surface Tension and the Role of Force in U-Shape Wire Frames

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In a U-shape wire frame with a sliding wire dipped in soap, a film forms between the wire and the frame, leading to a force due to surface tension expressed as F = 2Tl, where l is the length of the sliding wire. The discussion clarifies that the film has two surfaces, each contributing to the total surface tension. The change in work done, dW, is related to the change in area dA, with the book stating that 2ldx represents this change. The film is described as having four sides, with one side attached to the slider and three bounded by the frame, but it is emphasized that only the two surfaces contribute to the tension. Ultimately, the surface tension on both surfaces results in the total force being doubled, confirming the equation F = 2Tl.
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If I have a U-shape wire frame and it contains a straight sliding wire and I dip this in soap, a film forms between the sliding wire and the boundary of U shape frame. Why is the force due to surface tension F = 2Tl where l is length of sliding wire?

They say there are 2 layers in contact. Which 2? There is only one film.

Also
##dW=Fdx=(2Tl)dx##
They book says 2ldx is the change in area dA. Why?
##dW = Tdx##
## hence, T= dW/dA##
 
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How many sides does the film have?
 
Bystander said:
How many sides does the film have?
4 sides. 1 stuck withe the slider. 3 bounded by frame.
 
Not edges --- sides?
 
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The film has two surfaces. There is surface tension on each surface.

Chet
 
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Bystander said:
Not edges --- sides?
Understood. 2 surfaces.
Thank you
 
AdityaDev said:
Understood. 2 surfaces.
Thank you
exper2_04.jpg
T
One surface and then flipping this vertically
upload_2014-12-11_10-6-36.png

in this way two surfaces.Each surface has surface tension so F = 2Tl.
 
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