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Home » 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 (w is any positive constant):(a) (b)
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 (w is any positive constant):
(a) \exp \left(-\omega^{2} t^{2}\right)
(b) 1+\omega \mathrm{t}+\omega^{2} \mathrm{t}^{2}
CBSE | Class 11 | NCERT | Oscillations | Physics
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 (w is any positive constant):
(a) \exp \left(-\omega^{2} t^{2}\right)
(b) 1+\omega \mathrm{t}+\omega^{2} \mathrm{t}^{2}

(a) \exp \left(-\omega^{2} \mathrm{t}^{2}\right)

It’s a one-time exponential function that doesn’t repeat. As a result, the motion is non-periodic.

(b) The given function 1+\omega t+\omega^{2} t^{2}

It is non-periodic.

i

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