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Q.

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
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