Which of the function 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 (omega is any positive constant), cosomegat+cos3omegat+cos5omegat

Which of the function of time represent (a) simple harmonic. (b) perio

1.	Which of the function 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 (omega is any positive constant), cosomegat+cos3omegat+cos5omegat
Answer» <html><body><p></p>Solution :`cosomegat+ cos3omegat+ cos5omegat` is a periodic function but not <a href="https://interviewquestions.tuteehub.com/tag/simple-1208262" style="font-weight:bold;" target="_blank" title="Click to know more about SIMPLE">SIMPLE</a> <a href="https://interviewquestions.tuteehub.com/tag/harmonic-1015999" style="font-weight:bold;" target="_blank" title="Click to know more about HARMONIC">HARMONIC</a>. The time periods of each periodic function are `(2pi)/(<a href="https://interviewquestions.tuteehub.com/tag/omega-585625" style="font-weight:bold;" target="_blank" title="Click to know more about OMEGA">OMEGA</a>), (2pi)/(3omega)` and `(2pi)/(<a href="https://interviewquestions.tuteehub.com/tag/5-319454" style="font-weight:bold;" target="_blank" title="Click to know more about 5">5</a> omega)`. <a href="https://interviewquestions.tuteehub.com/tag/since-644476" style="font-weight:bold;" target="_blank" title="Click to know more about SINCE">SINCE</a> `(2pi)/(omega)` is the multiple of the other two periods , the given sum is periodic with time period `(2pi)/(omega)`</body></html>