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:
Please ignore the force of gravity between the masses and ignore any kind of friction. just consider the tension , electrical force and mg.
m2 : ΣFx,y=0
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.
I wasn't able to calculate the components of the electrical force. 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.