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I've done lots of reading and watched lots of videos, I know simple calculus, I understand moment of inertia and torque, small angle approximations and parallel axis theory. I've done dimensional analysis which resulted in:

[tex]T=\sqrt{\frac{I}{mgb}}[/tex]

where T = Period, I = Moment of inertia, m = Mass and b = distance from center of mass to pivot.

I know dimensional analysis doesn't give any constants, and I've seen in books that the actual equation is

[tex]T=2\pi\sqrt{\frac{I}{mgb}}[/tex]

but I'd like to be able to prove this. I know it has to do with angular acceleration and angular frequency, but not sure how. Can anyone point me in the right direction? Most the videos I watch just make the jump and say "we've previously shown why... [tex]\omega^2=\sqrt{\frac{mgb}{I}}[/tex] but I can't find any previous videos that show! :D

I think it's the [tex]\omega^2[/tex] that I can't see where it comes from.

Any help much appreciated!

K

(p.s. If the Latex is messed up I'm probably working on fixing it, I've not used it much)