INPHO

Consider a heavy rod mass \(m\) and length \(L\) in between the two light rods (perpendicular and fixed). The whole set up is in the horizontal plane. The heavy rod is given an initial angular velocity \(\omega\). Find \(\omega \) such that the light rod always remains in contact with it and it comes to rest finally as shown. A magnetic field \(B\) exists perpendicular to the plane. Let the resistance of the heavy rod be \(R\) and that of the light rods be 0.

If \(\omega = a \cdot \dfrac{B^2 L}{mR} \), submit your answer as \(a\).

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