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A metallic hemisphere is having dust on ...

A metallic hemisphere is having dust on its surface. The sphere is rotated about a vertical axis passing through its centre at angular speed `omega = 10 "rad" s^( –1)`. Now the dust is visible only on top `20%` area of the curved hemispherical surface. Radius of the hemisphere is R = 0.1 m. Find the coefficient of friction between the dust particle and the hemisphere [`g = 10 ms^(–2)`].

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