Electrical force between two objects

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The discussion revolves around solving a physics problem involving two charged objects, m1 and m2, connected by a rope, where m2 is suspended from the ceiling. The goal is to determine the unknown distance x when m2 is moved a distance d from m1, while ignoring gravity and friction. Two equations have been identified: one relating the distance between the objects and the other involving the sine of angle a. However, the user struggles to incorporate the components of the electrical force into their calculations, indicating a need for a third equation. The challenge lies in accurately calculating the forces acting on m2 to find the solution.
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I tried to solve the following problem:
There are 2 objects . The object m1 with charge q and the object m2 with charge q.(same charge).The object m2 is connected with a rope to the ceiling.

at the initial state , m1 and m2 were on the same height.
When the object m2 is placed in distance d from the object m1, the following situation occurs:

[url]http://i.stack.imgur.com/KhKjc.png[/url]

Please ignore the force of gravity between the masses and ignore any kind of friction.
just consider the tension , electrical force and mg.

You have to find x.

You can use the parameters k(Coulomb's constant), q , L , d , mg.

I was able to find only 2 equations that would help to solve the problem but one is still missing.
 
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IAmCurious said:
I tried to solve the following problem:
There are 2 objects . The object m1 with charge q and the object m2 with charge q.(same charge).The object m2 is connected with a rope to the ceiling.

at the initial state , m1 and m2 were on the same height.
When the object m2 is placed in distance d from the object m1, the following situation occurs:

[url]http://i.stack.imgur.com/KhKjc.png[/url]

Please ignore the force of gravity between the masses and ignore any kind of friction.
just consider the tension , electrical force and mg.

You have to find x.

You can use the parameters k(Coulomb's constant), q , L , d , mg.

I was able to find only 2 equations that would help to solve the problem but one is still missing.

2 equations should be enough. The unknowns are x and the tension in the rope.
 
I checked my equations and they are not correct. I wasn't able to calculate the components of the electrical force.
Could you please write the equations you have found ?

The equations that I found are :

1) r ^ 2 = (L-Lcos a) ^ 2 + (x+d) ^ 2
(r is the distance between the two objects)

2) sin a = x / L

3) as you can see ΣFx = 0 and ΣFy = 0 (The object m2),
but without the components of the electrical force I wansen't able to calculate anything.
 
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