In the above diagram, a rod $$AB$$ of mass $$m$$ and length $$L$$ is held such that the length of the rod is symmetric in semi-circle (massless)$$PQS$$ about $$P$$. Now, the rod is left.

Find the velocity of end $$B$$ when the center of rod reaches $$S$$.

Details and Assumptions:

• Radius of fixed vertical circle (frictionless), $$R = 10\text{ m}$$.

• Length of rod, $$L = 2\sqrt{19} \text{ m}$$.

• $$g = 10\text{ m/s}^2$$

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