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 rads-1. The radius of the disc is 50 cm. Find the minimum coefficient of friction between disc and coin so that the coin does not slip (g = 10 ms-2).
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a
0.1
b
0.2
c
0.3
d
0.4
answer is B.
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Detailed Solution
f1=μmg,friction will provide the necessary centripetal force f = mw2rf ≤ fl ⇒mw2r ≤μmgμ≥ω2rg=22×50/10010μ≥0.2