(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

2 small spheres of charge "q" suspended from strings of length "l" are connected at a common point. one sphere has mass m, the other 2m. Assume angles theta_1 and theta_2 that strings make with vertical are small. (a) how are theta_1 and theta_2 related? (b) show that the distance r btw spheres is (3k*q^2*l/(2mg))^(1/3)

2. Relevant equations

Refer to question

3. The attempt at a solution

My attempt involved taking the cos and sin of both angles and getting particular geometric lengths. Ultimately, from these I got the angle from the horizontal that the higher ball is at with respect to the lower ball. I won't list this here as this is largely a dead end.

It would be far too hard to separate theta 1 and theta 2 in the component eqns. The math should be far easier than this considering all the other questions were much simpler (and this is only question 3 of 7). My guess is I can use the approximation somewhere. Assuming that the 2 balls are roughly on the same horizontal plane makes for an easy solution (angle1 = 2*angle 2), but I was hesitant to employ this particular approximation.

I realize this question is more complicated, so I hope there are any takers out there.

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# Homework Help: 2 differently weighted, charged balls hanging from strings that connect at common pt

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