How to get tis relation any hints:

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The discussion focuses on solving a problem related to surface tension and vector components. Participants emphasize the importance of balancing horizontal components for equilibrium, specifically referencing the relationship T1 = T2 + T3cos(θ). Clarification is sought on how to find the components of a vector, with a suggestion to use resources like HyperPhysics for guidance. The conversation highlights the necessity of understanding vector relationships within the context of the larger problem. Ultimately, applying the method of finding components is suggested as a way to resolve the issue.
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t1.jpg


please help me :) to get tis relation.
 
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Assuming those vectors add to zero, just add the horizontal components.
 
Doc Al said:
Assuming those vectors add to zero, just add the horizontal components.

:confused: still not clear :confused:
 
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The statement T_1= T_2+ T3cos(\theta) is only true if, "T1", "T2", and "T3" are the lengths of the vectors shown and the horizontal components sum to 0. (If both T1 and T2 are horizontal and T3 isn't, as shown, the vectors them selves cannot sum to 0.)

Since T1 and T2 are both horizontal, you need to look at the horizontal component of T3. Drop a perpendicular from the tip of T3 to the horizontal. You get a right triangle with angle \theta and hypotenuse of length T3. The horizontal component of T3, Tx then satisifies cos(\theta)= T_x/T_3 so T_x= T_3 cos(\theta).
 
t2.jpg


HallsofIvy said:
horizontal components sum to 0.

yes u r right, i was solving a problem on surface tension. For the equilibrium of the drop, the horizontal components must balance each other.
 
Doc Al said:
Do you have a specific question? Where did this relationship come from? I assume it's part of a larger problem?

yes, its a part of a larger problem; problem on surface tension.

Doc Al said:
Do you know how to find components of a vector? Read this: http://hyperphysics.phy-astr.gsu.edu/HBASE/vect.html#vec5"

:approve: yes i know to find components, BTW i appreciate ur help u always replies to my posts; thanks for ur valuable time :smile:
 
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sphyics said:
yes, its a part of a larger problem; problem on surface tension.



:approve: yes i know to find components, BTW i appreciate ur help u always replies to my posts; thanks for ur valuable time :smile:
Doc Al's point was "Apply that method (of finding components) and you will answer your own question!"
 
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