Displaystyle T2pi sqrt frac m k shows the period of oscillation is independent of the amplitude though in practice the amplitude should be small. A simple harmonic progressive wave is a wave which continuously advances in a given direction without change of form and the particles of the medium perform simple harmonic motion about their mean position with the same amplitude and period when the waves pass over them. This equation represents a simple harmonic motion.
Here k is a positive constant and x is the displacement of the particle from the assumed origin.
The position of an object in simple harmonic motion is described by a sine function that depends on an amplitude of the motion A an angular frequency time t and a starting condition called the phase shift. When an object moves to and fro along some line then the motion is simple harmonic motion. Simple Harmonic Motion or SHM is defined as a motion in which the restoring force is directly proportional to the displacement of the body from its mean position. X t A cos 2 p f t x t Acos 2pi f t xtAcos2pf t x left parenthesis t right parenthesis equals A cosine left parenthesis 2 pi f t right parenthesis.