Out of the following functions representing motion of a particle which represents S.H.M.: (2011 Pre)n(i) $y = \sin \omega t - \cos \omega t$n(ii) $y = \sin^3 \omega t$n(iii) $y = 5\cos\left(\frac{3\pi}{4} - 3\omega t\right)$n(iv) $y = 1 + \omega t + \omega^2 t^2$
Only (iv) does not represent SHM
Solution:
(i) Linear combination of sine and cosine represents SHM. (ii) $y = \sin^3\omega t$ is an oscillatory motion but not SHM. (iii) Simple cosine function with phase shift represents SHM. (iv) Non-oscillatory. Thus, only (i) and (iii) represent SHM.
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