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Rotation of Man with the Wall of Rotor

A person with a mass m stands in contact against the wall of a cylindrical drum (rotor) (Fig. 11). The coefficient of friction between the wall and the clothing is μ.
Fig. 11
When the rotor starts rotating about its axis, the person is thrown away from the center. Due to centrifugal force at a particular speed ω, the person stays stuck to the wall even if the floor is removed, because the friction force balances its weight in this condition.
From Fig. 11,
Friction force (F) = Weight of person (mg)
⇒ μR = mg
⇒ μFc = mg [here Fc = centrifugal force]
⇒ μmωmin2r = mg
∴ 36648.png

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