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Question

Which of the following equation does not represent a simple harmonic motion:

A
$$y=a\sin\omega t$$
B
$$y=a\cos\omega t$$
C
$$y=a\sin\omega t+b\cos\omega t$$
D
$$y= a\tan\omega t$$
Solution
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Correct option is D. $$y= a\tan\omega t$$
Standard equation of $$S.H.M$$ $$ \dfrac {d^2 y}{dt^2}=-\omega^2 y$$, is not satisfied by $$y=a\tan \omega t$$

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