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inferno298
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E&M Problem -- 2 Charged Masses Hanging on Strings
Two charges of identical mass m, one with charge q, the other with charge 2q, hang from strings
of length l from a common point. Assume q is sufficiently weak so that any angle you're looking
for is very small, and find an approximate expression for the angle each charge makes with
respect to the vertical. Check (and show) that the units work out, and that the limiting behavior
for large mass, large length, and/or small q are at least sensible.
Coulombs Law
E=(1/4*pi*episolon)(q' R/R)
First I am not sure what to do with the mass, if its really even needed.
Also I am given lengths, but it doesn't specify that they are the vectors themselves, otherwise I would just use the r' vector to the charge and the r vector to some random point charge in the middle to grab the vertical angle.
I think there is another way I am missing though. Any help or insight would be appreciated.
Homework Statement
Two charges of identical mass m, one with charge q, the other with charge 2q, hang from strings
of length l from a common point. Assume q is sufficiently weak so that any angle you're looking
for is very small, and find an approximate expression for the angle each charge makes with
respect to the vertical. Check (and show) that the units work out, and that the limiting behavior
for large mass, large length, and/or small q are at least sensible.
Homework Equations
Coulombs Law
E=(1/4*pi*episolon)(q' R/R)
The Attempt at a Solution
First I am not sure what to do with the mass, if its really even needed.
Also I am given lengths, but it doesn't specify that they are the vectors themselves, otherwise I would just use the r' vector to the charge and the r vector to some random point charge in the middle to grab the vertical angle.
I think there is another way I am missing though. Any help or insight would be appreciated.