Physics-
General
Easy

Question

If x comma v text  and  end text a denote the displacement, the velocity and the acceleration of a particle executing simple harmonic motion of time period T , then, which of the following does not change with time?

  1. a squared T squared plus 4 pi squared v squared
  2. fraction numerator a T over denominator x end fraction
  3. a T plus 2 pi v
  4. fraction numerator a T over denominator v end fraction

The correct answer is: fraction numerator a T over denominator x end fraction


    fraction numerator a T over denominator x end fraction equals fraction numerator omega squared x T over denominator x end fraction equals fraction numerator 4 pi squared over denominator T end fraction cross times T equals fraction numerator 4 pi squared over denominator T end fraction equals text  constant  end text

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