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A uniform circular disc of mass m and ra...

A uniform circular disc of mass m and radius a,can rotate in a vertical plane about a horizontal axis through a point O on its circumference.The disc is held with the diameter OA through O horizontal and then released. If a constant frictional couple of `(mga)/(2 pi)` opposes the motion, the angular speed when OA is vertical will be
1) `sqrt(g/2a)`

2) `sqrt(g/a)`

3) `sqrt(g/3a)`

4) `sqrt(2g/3a)`

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