1.

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) sin ωt – cos ωt (b) sin³ ωt (c) 3 cos (p/4 – 2ωt) (d) cos ωt + cos ³ωt + cos ⁵ωt (e) exp (–ω²t²) (f) 1 + ωt + ω²t²

Answer» 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) sin ωt – cos ωt (b) sin³ ωt (c) 3 cos (p/4 – 2ωt) (d) cos ωt + cos ³ωt + cos ⁵ωt (e) exp (–ω²t²) (f) 1 + ωt + ω²t²


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