A particle of mass m moves under the influence of the potential energy V(x) = (1- a x)e¬ax in the region x > 0 and a > 0. Determine the natural frequency of the oscillations for motion restricted to small displacement in the neighborhood of the equilibrium.

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A particle of mass m moves under the influence of the potential energy V(x) =
(1 – a x)e¬ax in the region x > 0 and a > 0. Determine the natural frequency of
the oscillations for motion restricted to small displacement in the neighborhood of the
equilibrium.
Transcribed Image Text:A particle of mass m moves under the influence of the potential energy V(x) = (1 – a x)e¬ax in the region x > 0 and a > 0. Determine the natural frequency of the oscillations for motion restricted to small displacement in the neighborhood of the equilibrium.
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