A small bead can slide without friction on a circular hoop that is in a vertical plane and has a...

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A small bead can slide without friction on a circular hoop that is in a vertical plane and has a radius of \( 10 \mathrm{~m} \). The hoop rotates at a constant rate about a vertical diameter. Find the height of the bead (in \( \mathrm{m} \) ) above the bottommost point if the angular velocity of rotation is \( 0.5 \mathrm{rad} / \mathrm{s} \).
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