Question

Which of the following functions of the time represent (a) SHM (b) periodic but not SHM (c) non periodic. Give the period for each case of periodic motion.
1. sinwt-coswt
2. sin³wt
3. 3cos(π/3-2wt)
4. coswt+cos3wt+cos5wt
5. e-w²t²
6. 1+wt+w²t²
7. sinwt+coswt
8. logwt
9. sinwt+cos2wt+sin4wt
10. sin²wt.​

Answer 1

1. periodic but not SHM
2. periodic but not SHM
3. periodic but not SHM
4. periodic but not SHM
5. non periodic
6. non periodic
7. periodic but not SHM
8. periodic but not SHM
9. periodic but not SHM
10. periodic but not SHM