# JEE Advanced Mechanics Problem

**Classical Mechanics**Level 5

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 \(S\).

Round your answer to the nearest integer

**Details and Assumptions**:

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

Length of rod, \( L = 2\sqrt{19} \text{ m} \).

\(g = 10\text{ m/s}^2 \)