A particle of mass (m) moves in one dimension in a potential (V(q)=-C q e^{-lambda q}) where

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A particle of mass \(m\) moves in one dimension in a potential \(V(q)=-C q e^{-\lambda q}\) where \(C\) and \(\lambda\) are positive constants. Write down the Lagrangian and find the point of stable equilibrium. In the small-oscillation approximation find the angular frequency of the normal mode.

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