Physics-
General
Easy

Question

A uniform solid cone of mass m, base radius ‘R’ and height 2R, has a smooth groove along its slant height as shown in figure. The cone is rotating with angular speed ‘w’, about the axis of symmetry. If a particle of mass ‘m’ is released from apex of cone, to slide along the groove, then angular speed of cone when particle reaches to the base of cone is

  1. fraction numerator 3 omega over denominator 13 end fraction    
  2. fraction numerator 4 omega over denominator 13 end fraction    
  3. fraction numerator 5 omega over denominator 13 end fraction    
  4. fraction numerator 9 omega over denominator 13 end fraction    

The correct answer is: fraction numerator 3 omega over denominator 13 end fraction



    omega subscript 2 end subscript equals omega subscript text new  end text end subscript equals fraction numerator 3 omega over denominator 13 end fraction

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