Two equal negative charges -q are fixed at point (0, a) and (0, -a). A positive charge Q is released from rest at the point (2a, 0) on the x-axis. What type of oscillations does the charge Q execute?

Explanation

Let x be the displacement of charge Q at any time t. Now by finding the net force on Q and then its acceleration .a.
`a= 2kQ q(-x)/(m(x^(2) + l^(2))^(3//2))`
We can find that `a prop -x` not valid. Therefore charge Q will execute oscillations but not SHM.