how to get tis relation any hints:

[sphyics]

http://i274.photobucket.com/albums/jj265/sphyiscs/t1.jpg

plz help me :) to get tis relation.

[Doc Al]

Assuming those vectors add to zero, just add the horizontal components.

[sphyics]

Assuming those vectors add to zero, just add the horizontal components.

:confused: still not clear :confused:

[Doc Al]

:confused: still not clear :confused:
Do you have a specific question? Where did this relationship come from? I assume it's part of a larger problem?

Do you know how to find components of a vector? Read this: Resolving a Vector Into Components (http://hyperphysics.phy-astr.gsu.edu/HBASE/vect.html#vec5)

[HallsofIvy]

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, T[sub]x[sub] then satisifies cos(\theta)= T_x/T_3 so T_x= T_3 cos(\theta).

[sphyics]

http://i274.photobucket.com/albums/jj265/sphyiscs/t2.jpg

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.

[sphyics]

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.

Do you know how to find components of a vector? Read this: Resolving a Vector Into Components (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:

[HallsofIvy]

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!"