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Question
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):
sin3 ωt
Solution
Periodic, but not SHM
The given function is:
sin3 ωt = `1/3` sin ω t - sin3 ωt
The terms sin ωt and sin ωt individually represent simple harmonic motion (SHM). However, the superposition of two SHM is periodic and not simple harmonic.
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