Are Identical Masses' Angles Equal for Different Charges?

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In the scenario of two charges with identical masses hanging from the same point, one charge is q and the other is 2q. The discussion revolves around whether both masses will make the same angle with the vertical. The conclusion reached is that, despite the difference in charge, the angles will indeed be equal due to the balancing of forces as per Newton's Third Law. The assumption is made that the masses are large and the charges are small, which supports this conclusion. Therefore, the angles are equal for both masses when the masses are identical, regardless of their charges.
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Homework Statement



I have a problem as follows: "Two charges of identical mass hang from the same point by a thread of length l. One has charge q and the other has charge 2q. Find the angle each mass makes with the vertical."

Now, I got an answer and found that each mass will make the same angle with respect to the vertical. Is this true? When I imagine this scenario in my head it seems like their angles would be different. Are the angles equal for both masses when the masses are equal, regardless of the charges?


Homework Equations





The Attempt at a Solution



There is an assumption that the masses are "large" and the charges are "small".
 
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Ponder Newton's Third Law.
 


Got it- equal and opposite forces. Thank you.
 
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