Which of the following equations does not represent a simple harmonic motion

y - α ω t

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y = α ω t

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y = α ω t + b c o s ω t

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y = α t a n ω t

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Solution

The correct option is C $y = α t a n ω t$
Standard equation pf $S H M \frac{d^{2} y}{d t^{2}} = - ω^{2} y,$ is not satisfied by $y = a tan ω t .$
Hence,
option $(D)$ is correct answer.

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Which of the following equations does not represent a simple harmonic motion

The correct option is C y=αtanωtStandard equation pf SHMd2ydt2=−ω2y, is not satisfied by y=atanωt.Hence,option (D) is correct answer.

The correct option is C $y = α t a n ω t$
Standard equation pf $S H M \frac{d^{2} y}{d t^{2}} = - ω^{2} y,$ is not satisfied by $y = a tan ω t .$
Hence,
option $(D)$ is correct answer.