Which of the following functions of time represent (a) simple harmonic, (b) periodic but not simple harmonic, and (c) non-periodic motion? Give period for each case of periodic motion (ω is any positive constant):
(a) sin ω t – cos ω t
(b) sin3 ω t
(c) 3 cos (π/4 – 2ω t)
(d) cos ωt + cos 3ω t + cos 5ω t
(e) exp (–ω 2 t 2)
(f) 1 + ω t + ω 2 t 2
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