1.

Which of the following functions of time represent (a) simple harmonic, (6) 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 5 ωt(e) exp (-ω2 t2)(f) 1 + ωt + ω2t2Here 'ω' is any positive constant

Answer»

(a) It represents S.H.M. of period T = 2μ/ω.

(b) It represents periodic motion of period, T = 2π/ω, but it is not a S.H.M.

(c) It represents a S.H.M. of period 2π/2ω i.e., π/ω.

(d) It represents a periodic motion of period 2π ω, but it is not a S.H.M.

(e) It represents a non-periodic motion.

(f) It represents a non-periodic motion.



Discussion

No Comment Found

Related InterviewSolutions