A block of mass $$l0$$ kg in contact against the inner wall of a hollow cylindrical drum of radius I m. The coefficient of friction between the block and the inner wall of the cylinder is $$0.1$$. The minimum angular velocity needed for the cylinder to keep the block stationary when.the cylinder is vertical and rotating about its axis, will be (g$$ $$=$$ $$l0$$ $$m/s2)

Question

A block of mass $$l0$$ kg in contact against the inner wall of a hollow cylindrical drum of radius I m. The coefficient of friction between the block and the inner wall of the cylinder is $$0.1$$. The minimum angular velocity needed for the cylinder to keep the block stationary when.the cylinder is vertical and rotating about its axis, will be (g$$ $$=$$ $$l0$$ $$m/s2)

Infinity Learn · Accepted Answer

fL $$=$$ μN $$=$$ μmrω$$2fs$$ $$=$$ mgfs ≤ fL   ⇒  mg ≤ μmrω$$2$$⇒ ω ≥ gμr ⇒ ωmin $$=$$ $$10$$ $$rad/s$$

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