Question
Which of the following function represents:
(a) simple harmonic motion,
(b) periodic but not simple harmonic motion,
(c) non-periodic motion: (i) a cosωt + b sin ωt (ii) sin ωt + sin 2 ωt
(iii) sin2 ωt ± cos 2 ωt
(iv) log |cos (ωt) |
(V) e–ωt
(vi) cos2 ωt + cos ωt
Solution
(i) Simple harmonic
(ii) periodic but not simple harmonic motion
(iii) non-periodic
(iv) periodic but not simple harmonic motion
(v) non-periodic
(vi) periodic but not simple harmonic motion
