A particle of mass m moves on the positive half-line x > 0 with potential energy V(x) = Vo (e¬kx + Cx), where the constants Vo, k, C are positive. Find the values of the constants for which there exist equilibrium positions and obtain the frequency of the small oscillations about the stable equilibrium positions.
A particle of mass m moves on the positive half-line x > 0 with potential energy V(x) = Vo (e¬kx + Cx), where the constants Vo, k, C are positive. Find the values of the constants for which there exist equilibrium positions and obtain the frequency of the small oscillations about the stable equilibrium positions.
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Small Oscillations. Analytical Mechanics.
Transcribed Image Text:5.1
A particle of mass m moves on the positive half-line x > 0 with potential energy
V(x) = Vo (e¬kx + Cx),
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where the constants Vo, k, C are positive. Find the values of the constants for which
there exist equilibrium positions and obtain the frequency of the small oscillations
about the stable equilibrium positions.
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