Which one of the following does not represent simple harmonic motion? Here y denotes the instantaneous displacement. Here, A and B are constants and co is the angular frequency. - Physics

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MCQ

Which one of the following does not represent simple harmonic motion? Here y denotes the instantaneous displacement. Here, A and B are constants and co is the angular frequency.

Options

  • y = A sin ωt cos ωt 

  • y = A sin ωt + B cos ωt 

  • y = A sin 2 ωt

  • y = A sin2 ωt cos2 ωt  

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Solution

y = A sin2 ωt cos2 ωt  

Explanation - 

A SHM can be expressed using the sine or cosine functions, or a linear mixture of the two. y = A equation The product of two functions is sin2 ωt cos2 ωt. As a result, it does not depict basic harmonic motion. 

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