A L shaped rod whose one rod is horizontal and other vertical is rotating about a vertical axis as shown with angular speed ω. The sleeve shown in figure has mass 2m and friction coefficient between rod and sleeve is μ. The minimum angular speed ω for which sleeve cannot slip on rod is
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a
ω=gμl
b
ω=μgl
c
ω=lμg
d
None of these
answer is A.
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Detailed Solution
fr=μN=2mg⇒N=2mgμ ......(i)N=2mω2l ........(ii)From Eqs. (i) and (ii), ω=gμl