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Q.

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

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Detailed Solution

Ncos⁡β=mgNsin⁡β=mω2Rsin⁡βmgcos⁡β=mω2Rcos⁡β=gω2R=100.25×10=4⇒ Not possible ⇒ β=0
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