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Question

A L shaped rod whose one rod is horizontal and other is vertical is rotating about a vertical axis as shown with angular speed . The sleeve shown in figure has mass m and friction coefficient between rod and sleeve is . The minimum angular speed  for which sleeve cannot sleep on rod is –

  1. omega equals square root of fraction numerator g over denominator mu l end fraction end root  
  2. omega equals square root of fraction numerator mu g over denominator l end fraction end root  
  3. omega equals square root of fraction numerator l over denominator mu g end fraction end root  
  4. None of these  

The correct answer is: omega equals square root of fraction numerator g over denominator mu l end fraction end root


    as f = N = mg
    or, m2 = mg   = square root of fraction numerator g over denominator mu l end fraction end root

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