On a smooth inclined plane at \( 30^{\circ} \) with the horizontal a thin current carrying metal...

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On a smooth inclined plane at \( 30^{\circ} \) with the horizontal a thin current carrying metallic rod is placed parallel to the horizontal ground. The plane is located in a uniform magnetic field of \( 0.15 \) tesla in the vertical direction. For what value of current can the rod remain stationary ? The mass per unit length of rod is \( 0.30 \mathrm{~kg} \mathrm{~m}^{-1} \).
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