Solve it if you can
- A man of mass \(M\) stands at point \(A\) on a horizontal lamina which is free to rotate about a fixed point \(O\). Initially both are at rest.The man then walks along the circle with \(OA\) as diameter (\(OA=a\)). Returning to his starting point.
\(I\) is moment of inertia of lamina about \(O\).
If the angle turned is \(x\) times the value in picture, find \(\lfloor x \rfloor \).