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Question

A block of mass of 10 kg is in contact with the inner wall of a hollow cylindrical drum of radius 1 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 = 10 m/s2)

A
10 rads
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B
102π rads
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C
10 rads
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D
10π rads
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Solution

The correct option is C 10 rads


Limiting friction, fl = μN = μmrω2 (N=mrω2) fs=mgFor block to remain stationary, fs fl mg μmrω2 ω gμr ωmin = 10 rad/s

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