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Q.

As the expression is involving sine function, which of the following equations does not represent a simple harmonic motion?

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a

y=asin⁡ωt

b

y=acos⁡ωt

c

y=asin⁡ωt+bcos⁡ωt

d

y=atan⁡ωt

answer is D.

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Detailed Solution

Standard equation of S.H.M. d2ydt2=−ω2y is not satisfied by y=atan⁡ωt which will be periodic.Clearly, this equation does not represents SHM.
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