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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):
exp (–ω2t2)
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Solution
Non-periodic motion
The given function `exp(-omega^2"r"^2)` is an exponential function. Exponential functions do not repeat themselves. Therefore, it is a non-periodic motion.
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