im so lost with this question, i have tried a lot and cannot solve it :(adsbygoogle = window.adsbygoogle || []).push({});

A particle of unit mass moves on a straight line under a force having potential energy V (x) =

x3=(x^4 + a^4) where and a are positive constants. Sketch the graph of V (x).

(a) Find the period of small oscillations about the position of stable equilibrium

(b) Suppose the particle passes the origin, moving in the positive x-direction with speed v[0]. Show

that the particle will subsequently pass the point x = a if and only if v^2[0] > =a. Find a further

condition on v^2[0] for the particle to subsequently pass the point x = -a

(square brackets represent a subscript)

Thansk in advance----aa.

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# Stable equilibrium question

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