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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 sin

^{2}ωt cos^{2}ωt

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#### Solution

**y = A sin ^{2} ωt cos^{2} 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 sin^{2} ωt cos^{2} ωt. As a result, it does not depict basic harmonic motion.

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