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A uniform circular disc has radius R and...

A uniform circular disc has radius `R` and mass `m`. A particle also of mass `m` is fixed at a point `A` on the wedge of the disc as in fig. The disc can rotate freely about a fixed horizontal chord `PQ` that is at a distance `R//4` from the centre `C` of the disc. The line `AC` is perpendicular to `PQ`. Initially the disc is held vertical with the point `A` at its highest position. It is then allowed to fall so that it tarts rotating about `PQ`. Find the linear speed of the particle at it reaches its lowest position.
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