MCQ
Which of the following equations does not represent a simple harmonic motion?
  • A
    $\text{y = a}\sin\omega\text{t}$
  • B
    $\text{y = b}\cos\omega\text{t}$
  • C
    $\text{y = a}\sin\omega\text{t + b}\cos\omega\text{t}$
  • $\text{y = a}\tan\omega\text{t}$

Answer

Correct option: D.
$\text{y = a}\tan\omega\text{t}$
$\text{S.H.M.}$ is one which is bounded within well defined limits, periodic and oscillatory. The first four equations represent $\text{S.H.M.}$ but the fifth equation does not represent $\text{S.H.M.}$

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