- #1
Troubleshooting Line Tension: Expert Tips and Solutions
In summary, the conversation is about a physics problem involving finding the tension and reaction force at point A in a system of forces. The person asking for help has made some calculations and is unsure if they are correct. They are also asked to determine the components of the reaction at point A and to clarify their calculations.
- #2
tiny-tim
Science Advisor
Homework Helper
- 25,839
- 258
Hi drkidd22! 
Show us what you've tried, and where you're stuck, and then we'll know how to help!
Show us what you've tried, and where you're stuck, and then we'll know how to help!
- #3
drkidd22
- 59
- 0
So I have this so far trying to find Tbd.
It will be the same for Tbe as they are the same distance away from A.
It will be the same for Tbe as they are the same distance away from A.
- #4
drkidd22
- 59
- 0
distance on horizontal=√(18^2+18^2)=18*√2 ft
distance on vertical=21 ft
∴θ=angle in between pole & cable=tan-1(18*√2/21)=50.479 degree
Σall horizontal force=0
1680=2T sinθ
∴T=1088.944 lb
Σall vertical force =0
R=2T cosθ [R= reaction force at A ]
∴R=1385.924 lb
Not sure if it's correct
distance on vertical=21 ft
∴θ=angle in between pole & cable=tan-1(18*√2/21)=50.479 degree
Σall horizontal force=0
1680=2T sinθ
∴T=1088.944 lb
Σall vertical force =0
R=2T cosθ [R= reaction force at A ]
∴R=1385.924 lb
Not sure if it's correct
- #5
pongo38
- 739
- 27
How many components are there to the reaction at A (at most)? You ask if it is correct. But you could determine this yourself by recognising that there are at most 6 equilibrium equations for the whole thing...
- #6
drkidd22
- 59
- 0
There are three forces at A
Fx
Fz
Fy
Fx
Fz
Fy
- #7
pongo38
- 739
- 27
So have you calculated any of them so far?
(By the way your physicsp148.doc document has just one line and it is sloppy, or incorrect or inconsistent. If T is a force, why do the units have ft at the end?)
(By the way your physicsp148.doc document has just one line and it is sloppy, or incorrect or inconsistent. If T is a force, why do the units have ft at the end?)
- #8
pongo38
- 739
- 27
when you say "1680=2T sinθ ", exactly what free body diagram are you considering the equilibrium of?
FAQ: Troubleshooting Line Tension: Expert Tips and Solutions
What is line tension?
Line tension refers to the force that exists between two immiscible phases, such as a liquid and a gas, at their interface. It is the result of the difference in intermolecular forces between the two phases and can affect the behavior and physical properties of the interface.
How is line tension measured?
Line tension can be measured using various techniques, such as the drop shape analysis method or the Wilhelmy plate method. These methods involve measuring the shape or deformation of a droplet or interface and using mathematical equations to calculate the line tension.
What factors affect line tension?
Line tension can be affected by factors such as the nature of the two phases, their surface tension, and the presence of surfactants. Temperature and pressure can also have an impact on line tension, as changes in these conditions can alter the intermolecular forces between the phases.
How does line tension impact the stability of emulsions?
Line tension plays a crucial role in the stability of emulsions, which are mixtures of two immiscible liquids. High line tension can lead to the coalescence of droplets, resulting in the separation of the two phases. Low line tension, on the other hand, can promote the formation of small and stable droplets, leading to a more stable emulsion.
Can line tension be manipulated?
Yes, line tension can be manipulated by changing the properties of the two phases, such as their surface tension and intermolecular forces, or by adding surfactants to the system. By altering these factors, it is possible to increase or decrease line tension and affect the behavior of the interface.
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