Physics
Fluid-Mechanics
Easy

Question

In the arrangement shown in the figure m subscript A over m subscript B equals 2 over 3  and the ratio of density of block B and the liquid is 2: 1 The system released from rest. Then

  1. Block B will oscillate but not simple harmonically
  2. Block B will oscillate simple harmonically
  3. The system will remain in equilibrium
  4. None of the above

The correct answer is: Block B will oscillate but not simple harmonically


    text  Let  end text m subscript A equals 2 m comma m subscript B equals 3 m
text  When block-B is inside the liquid  end text a subscript 1 equals fraction numerator m subscript A g minus open parentheses m subscript B g minus text  upthrust on  end text B close parentheses over denominator m subscript A plus m subscript B end fraction equals g over 10
    When block -B is outside the liquid
    a subscript 2 equals fraction numerator m subscript B g minus m subscript A g over denominator m subscript A plus m subscript B end fraction equals fraction numerator 3 m g minus 2 m g over denominator 5 m end fraction equals g over 5

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