JEE Advanced Mechanics Problem

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

  • \(g = 10\text{ m/s}^2 \)


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