A uniform rod of length L is free to rotate in a vertical plane about a fixed horizontal…

Physics · JEE Main · NTA ExamsRotational Motion

A uniform rod of length L is free to rotate in a vertical plane about a fixed horizontal axis through B. The rod begins rotating from rest from its unstable equilibrium position. When it has turned through an angle θ its average angular velocity ω is given as:
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  1. \(\sqrt{\frac{6 g}{L}} \sin \theta\)
  2. \(\sqrt{\frac{6 g}{L}} \sin \frac{\theta}{2}\)
  3. \(\sqrt{\frac{6 g}{L}} \cos \frac{\theta}{2}\)
  4. \(\sqrt{\frac{6 g}{L}} \cos \theta\)

Answer

(B) 6 g L 2

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