The mass point m is attracted by two force centers distant a.
At the beginning, the point is at rest a / 2 perpendicular to the center 1.
Determine the path along which the mass point will move.
The point mass m performs oscillatory motion about center point 1 since the net force acting on m is always directed towards center point 1.Due to symmetry Fy components cancel each other out.
For the detailed Free body diagram of m please find the attached image.
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