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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):
3 cos `(π/4 – 2ω"t")`
Solution
SHM
The given function is:
`3cos[pi/4 - 2omegat]`
`= 3cos[2omegat - pi/4]`
This function represents simple harmonic motion because it can be written in the form: `acos(omegat + phi)`
Its period is `(2pi)/(2omega) = pi/omega`
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