Posted by **Dwayne** on Tuesday, May 3, 2011 at 11:38am.

A particle P of mass m=1 moves on the x-axis under the force field

F=36/(x^3) - 9/(x^2) (x>0).

Show that there is a single equilibrium position for P and that it is stable. Find the period of small oscillations about this point.

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