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Easy

Question

A smooth wedge of mass m and angle of inclination 60° rests unattached between two springs of spring constant k and 4k, on a smooth horizontal plane, both springs in the unexpended position. The time period of small oscillations of the wedge (assuming that the springs are constrained to get compressed along their length) equals

  1. pi open parentheses 1 plus fraction numerator 1 over denominator 2 end fraction close parentheses square root of fraction numerator m over denominator k end fraction end root    
  2. pi open parentheses 1 plus fraction numerator 1 over denominator square root of 3 end fraction close parentheses square root of fraction numerator m over denominator k end fraction end root    
  3. pi open parentheses 1 plus fraction numerator 2 over denominator square root of 3 end fraction close parentheses square root of fraction numerator m over denominator k end fraction end root    
  4. none of the above    

The correct answer is: pi open parentheses 1 plus fraction numerator 1 over denominator 2 end fraction close parentheses square root of fraction numerator m over denominator k end fraction end root

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