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essentially my "problem statement" is to determine what the mg in the equation T=2π√(I/mgL) is being used to represent

## Homework Equations

T=2π√(I/mgL)

## The Attempt at a Solution

in a nutshell, i solved a difficult problem in a way that my professor probably didnt intend for the problem to be solved---but i know I can get full credit if i correctly justify my answer. so the equation T=2π√(I/mgL) is for the period of a pendulum.

my question is as follows: is the mg part of the equation being used to

(1) to ONLY to represent F

_{g}?

or

(2) to represent the total downward forces acting on the pendulum?

for my actual hw assignment, the pendulum is hanging from a sheet of charge, so in that case could i say that the equation for T is T=2π√(I/(F

_{g}+F

_{e})L) ?

when i do this

**i get the correct answer**but as i said i need to be very specific in my proof/explanation for my answer since im sure this is an alternative method to solve the problem rather than using gauss' law. this method makes the most sense to me which is why i want to use it.