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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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SUMMARY
The forum discussion focuses on calculating the force exerted by surface tension on a thread submerged in a soap solution, specifically addressing two cases involving semicircular shapes. The derived formula for the tension in the thread is T = πF/(2L), where F is the force exerted by the endpoints and L is the length of the thread. Participants clarify the role of surface tension, δ, and its relationship with the force and length of the thread, emphasizing the need for integration to accurately determine the forces involved.
PREREQUISITES- Understanding of surface tension and its physical implications
- Basic knowledge of forces and equilibrium in physics
- Familiarity with integration techniques for calculating forces
- Ability to analyze free body diagrams (FBD) in mechanics
- Study the principles of surface tension in fluids
- Learn how to derive forces using free body diagrams
- Explore integration methods for calculating forces in curved geometries
- Investigate the effects of varying thread lengths on tension in fluid mechanics
Physics students, mechanical engineers, and anyone interested in fluid dynamics and the mechanics of surface tension in liquids.
About your Method 1, Can we narrow down our region? What is the significance of having no vertical forces along the dotted lines?
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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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