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Saitama
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Chestermiller said:
About your Method 1, Can we narrow down our region? What is the significance of having no vertical forces along the dotted lines?
Surface tension - thread in soap solution
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Homework Help Overview
The discussion revolves around a problem related to surface tension in a soap solution, specifically focusing on the forces acting on a thread submerged in the solution. Participants explore the balance of forces due to surface tension and the weight of the thread, considering different configurations of the thread and the effect of the soap film.
Discussion Character
- Exploratory, Assumption checking, Problem interpretation
Approaches and Questions Raised
- Participants discuss the initial setup of the problem, questioning whether to analyze it in a vertical or horizontal plane. There are attempts to derive expressions for the forces due to surface tension and how they relate to the weight of the thread. Some participants express confusion regarding the integration of forces and the impact of symmetry on the calculations.
Discussion Status
The discussion is ongoing, with various interpretations being explored. Some participants have provided insights into the forces acting on the thread and the role of surface tension, while others are still grappling with the calculations and assumptions made in the problem. There is no explicit consensus yet, but several productive lines of reasoning have emerged.
Contextual Notes
Participants note the complexity of the problem, particularly in relation to the geometry of the thread and the soap film. There are mentions of potential negative values in calculations, indicating possible misunderstandings or misapplications of the principles involved. The need for careful consideration of the direction of forces is also highlighted.
About your Method 1, Can we narrow down our region? What is the significance of having no vertical forces along the dotted lines?
- #32
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Pranav-Arora said:About your Method 1, Can we narrow down our region? What is the significance of having no vertical forces along the dotted lines?
I used as a free body the region of film and string between the dotted lines. There are only two vertical forces acting on this free body, the force F downward, and the force of the frame at the top (pointing upward). The force of the frame between the dotted lines (pointing upward), by Newton's third law, is the same as the force of surface tension between the dotted lines acting downward on the frame.
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