Figure P27.70 shows a (1.0-mathrm{m}, 0. 350-mathrm{kg}) horizontal metal rod attached to two ropes, each of which

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Figure P27.70 shows a \(1.0-\mathrm{m}, 0. 350-\mathrm{kg}\) horizontal metal rod attached to two ropes, each of which makes an angle of \(30^{\circ}\) with the horizontal. Each rope then drapes over a pulley and is attached to a vertical rod of mass \(m\). Assume the pulleys have negligible mass. There is a \(0.25-\mathrm{T}\) magnetic field in the region of the rod, parallel to the \(x y\) plane, oriented \(45^{\circ}\) from the long axis of the horizontal rod. When the horizontal rod is made to carry a current \(I\), suddenly the rod moves upward until the ropes holding it make an angle of \(5.0^{\circ}\) with the horizontal. What was the value of \(I\) ?

Data from Figure P27.70

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