2 Consider a particle of mass m moving in the region x > 0 under the influence of apotentialU (x) = Uoаxc+хаwhere Uo and a are positive constants.Sketch the potential, find the equilibrium point, and determine its sta-(a)bility.Find the frequency of small oscillations about the stable equilibrium(b)point.

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Asked Oct 21, 2019
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2 Consider a particle of mass m moving in the region x > 0 under the influence of a
potential
U (x) = Uo
а
xc
+
х
а
where Uo and a are positive constants.
Sketch the potential, find the equilibrium point, and determine its sta-
(a)
bility.
Find the frequency of small oscillations about the stable equilibrium
(b)
point.
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2 Consider a particle of mass m moving in the region x > 0 under the influence of a potential U (x) = Uo а xc + х а where Uo and a are positive constants. Sketch the potential, find the equilibrium point, and determine its sta- (a) bility. Find the frequency of small oscillations about the stable equilibrium (b) point.

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Expert Answer

Step 1

Given,

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vl9-0.В ) «ва-» х U (x)=U х >0

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Step 2

Part (a): Potential function can be sketched as follows,

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Step 3

Equilibrium point of the functi...

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