Two equal negative charge – q are fixed at the fixed points
and
on the Y-axis. A positive charge Q is released from rest at the point
on the X-axis. The charge Q will
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By symmetry of problem the components of force on Q due to charges at A and B along y-axis will cancel each other while along x-axis will add up and will be along CO. Under the action of this force charge Q will move towards O. If at any time charge Q is at a distance x from O. Net force on charge Q


i.e., 
As the restoring force F net is not linear, motion will be oscillatory (with amplitude 2a) but not simple harmonic.
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