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| 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» Solution :`cosomegat+ cos3omegat+ cos5omegat` is a periodic function but not SIMPLE HARMONIC. The time periods of each periodic function are `(2pi)/(OMEGA), (2pi)/(3omega)` and `(2pi)/(5 omega)`. SINCE `(2pi)/(omega)` is the multiple of the other two periods , the given sum is periodic with time period `(2pi)/(omega)` | |