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 (ω is any positive constant):(a) sin ωt – cos ωt(b) sin3 ωt(c) 3 cos (π/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 (ω is any positive constant):


(a) sin ωt – cos ωt


(b) sin3 ωt


(c) 3 cos (π/4 – 2ωt)


(d) cos ωt + cos 3ωt + cos 5ωt


(e) exp (–ω2t2)


(f) 1 + ωt + ω2t2



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