A rough disc is rotating at a constant angular speed of 5 revolutions per minute about a vertical axis. The axis is perpendicular to the plane of the disc and passes through the centre of the disc. A particle, $$\(P\)$$, of mass $$\(m \mathrm{~kg}\)$$ is placed on the disc at distance $$\(0.2 \mathrm{~m}\)$$ from the axis. The particle does not move relative to the disc. The coefficient of friction between $$\(P\)$$ and the disc is $$\(\mu\)$$. Find the smallest possible value of $$\(\mu\)$$. (6)

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