Which of the function 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), sinomegat-cosomegat

Which of the function of time represent (a) simple harmonic. (b) perio

1.	Which of the function 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), sinomegat-cosomegat
Answer» Solution :`sinomegat-cosomegat= sqrt(2)[sinomegatcos((pi)/(4))-cosomegatsin((pi)/(4))]= sqrt(2)sin(OMEGAT-(pi)/(4))` It is SIMPLE HARMONIC with a time PERIOD `T = (2PI)/(omega)`