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A block of mass 10 kg is in contact against 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

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a
10πrad/s
b
10rad/s
c
102πrad/s
d
10rad/s

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detailed solution

Correct option is D

To keep the block stationary,   Frictional force ≥ Weight  μN≥Mg  Here, N=Mω2r r=1 m,μ=0.1  For minimum ω,μMω2r=Mg ω=gμr=100.1×1=10rads-1

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