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  • Which of the following functions of time represent (a) simple harmonic, (b) periodic but not simple harmonic, and (c) non-periodic motion (d) cos ωt + cos 3 ωt + cos 5 ωt

Q.14.4 (d) 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):

(d)   cos\; \omega t+cos\; 3\omega t+cos\; 5\omega t

Answers (1)

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Here, each individual function is SHM. But superposition is not SHM. The function represents periodic motion, but not SHM. 

period=LCM(\frac{2\pi}{\omega},\frac{2\pi}{3\omega},\frac{2\pi}{5\omega})=\frac{2\pi}{\omega}

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Sayak

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