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Hi,

I was given the setup in the attachment and was asked to find the angular frequency of small oscillations around the equilibrium. m1=m; m2=√3m

I have found L = 1/2*(3+√3)*mR

and the point of equilibrium to be at tgθ=m2/m2=√3

Do I now substitute cosθ≈1-1/2[itex]\dot{θ}[/itex]

and then write down Euler-Lagrange?

## Homework Statement

I was given the setup in the attachment and was asked to find the angular frequency of small oscillations around the equilibrium. m1=m; m2=√3m

## Homework Equations

## The Attempt at a Solution

I have found L = 1/2*(3+√3)*mR

^{2}[itex]\dot{θ}[/itex]^{2}+ mgRcosθ+√3mgRsinθand the point of equilibrium to be at tgθ=m2/m2=√3

Do I now substitute cosθ≈1-1/2[itex]\dot{θ}[/itex]

^{2}and sinθ≈θand then write down Euler-Lagrange?