A particle is held at rest on a smooth, circular track, which is an arc of radius

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A particle is held at rest on a smooth, circular track, which is an arc of radius a. The track is standing in a vertical plane, and it is fixed to a horizontal surface. The points O and A are such that OA is horizontal, as shown in the diagram. The particle is released from rest and proceeds to slide down the track.

a. Find the speed of the particle at the point where it is just about to lose contact with the track.

b. Find the greatest reaction force on the particle while it is in contact with the track.

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