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 (omega is any positive constant): (a) sinomegat-cosomegat (b) sin^(3)omegat (c) 3cos(pi//4-2omegat) (d) cosomegat+cos3omegat+cos5omegat (e) exp(-omega^(2)t^(2)) (f) 1+omegat+omega^(2)t^(2)

Which of the following functions of time represent (a) simple harmonic

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 (omega is any positive constant): (a) sinomegat-cosomegat (b) sin^(3)omegat (c) 3cos(pi//4-2omegat) (d) cosomegat+cos3omegat+cos5omegat (e) exp(-omega^(2)t^(2)) (f) 1+omegat+omega^(2)t^(2)
Answer» SOLUTION :(a) Simple harmonic, `T = (2pi//omega)`, (b) periodic, `T =(2pi//omega)` but not simple harmonic, (c) simple harmonic, `T = (pi//omega)`, (d) periodic, `T = (2pi//omega)` but not simple harmonic, (E) non-periodic, (F) non-periodic (PHYSICALLY not acceptable as the FUNCTION `to oo` as `t to oo`