(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

7. A particle of mass m moves (in the region x > 0) under a force F =

−kx+c/x, where k and c are positive constants. Find the corresponding

potential energy function. Determine the position of equilibrium, and

the frequency of small oscillations about it.

2. Relevant equations

dx/dt = [(2/m)(E - V(x)]^1/2

3. The attempt at a solution

dx/[(2/m)(E+ Clnx - (1/2)kx^2]^1/2 = dt

V = -Clnx + (1/2)kx^2]^1/2

i think at equilibrum point V(x) must be zero but then how can i continue? This is en exam question and i must solve it completely correct. Thank you for your answers. (my firt language is not english. Sorry for mistakes.)

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# Homework Help: Kibble problem (linear motion chap. 2)

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