Does the function `y=cos^(2)omegat ` represent a periodic of a simple harmonic motion? What is the period of the motion?

Does the function y = sin^2 omegat represent a periodic or a simple harmonic motion ? What is the period of the motion ?

Periodic motion is called harmonic motion, since

The funtion of time representing a simple harmonic motion with a period of pi/omega is :

The displacement of a particle in simple harmonic motion in one time period is

Which of the following funchtions of time represent (a) periodic and (b) non-periodic motion? Give the period for each of period motion. (omega is any positive constant ) (i) sinomegat+cosomegat (ii) sinomegat+cos2omegat+sin4omegat (iii) e^(-omegat) (iv) logomegat

The average energy in one time period in simple harmonic motion is

Identify the function which represent a periodic motion.

Which of the following functions of time represents (a) simple harmonic motion and (b) periodic motion? Given the period for each case. i. Sin omega t - cos omegat ii. Sin^(2)omegat