A coin is placed at the edge of a horizontal disc rotating about a vertical axis through its axi...

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A coin is placed at the edge of a horizontal disc rotating about a vertical axis through its axis with a uniform angular speed \( 2 \mathrm{rad} \mathrm{s}^{-1} \). The radius of the disc is \( 50 \mathrm{~cm} \). Find the minimum coefficient of friction between disc and coin so that the coin does not slip \( \left(g=10 \mathrm{~m} \mathrm{~s}^{-2}\right) \).
(1) \( 0.1 \)
(2) \( 0.2 \)
(3) \( 0.3 \)
(4) \( 0.4 \)
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