# Solve it if you can

Classical Mechanics Level pending
• 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 $$\lfloor x \rfloor$$.

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