Physics-
General
Easy

Question

For the system shown in figure, the rod is light and all the surfaces are frictionless. The time period of motion of block for small oscillations of the rod, is

  1. 2 pi square root of fraction numerator m over denominator k subscript 1 end subscript plus k subscript 2 end subscript end fraction end root    
  2. 2 pi square root of fraction numerator m a to the power of 2 end exponent over denominator k subscript 1 end subscript a to the power of 2 end exponent plus k subscript 2 end subscript left parenthesis a plus b right parenthesis to the power of 2 end exponent end fraction end root    
  3. 2 pi square root of fraction numerator m open square brackets k subscript 1 end subscript a to the power of 2 end exponent plus k subscript 2 end subscript left parenthesis a plus b right parenthesis to the power of 2 end exponent close square brackets over denominator k subscript 1 end subscript k subscript 2 end subscript a to the power of 2 end exponent end fraction end root    
  4. 2 pi square root of fraction numerator m over denominator k subscript 1 end subscript end fraction end root    

The correct answer is: 2 pi square root of fraction numerator m open square brackets k subscript 1 end subscript a to the power of 2 end exponent plus k subscript 2 end subscript left parenthesis a plus b right parenthesis to the power of 2 end exponent close square brackets over denominator k subscript 1 end subscript k subscript 2 end subscript a to the power of 2 end exponent end fraction end root

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