Oscillations and Periodic Harmonic Motion
Simple Harmonic Motion :
Simple Harmonic Motion : Harmonic Motion that is sinusoidal .
A displacement X , that varies sinusoidally may be functionally represented as follows :
X = Xm Cos ( wt + q ) X = Xm Sin ( wt + q )
The amplitude , Xm , and the phase , q , depends on how motion was started ( depend on initial conditions ). The angular frequency , w , depends on intrinsic properties of the system . For example , when a mass on spring oscillates , the frequency of oscillation and phase of oscillation depend on how the motion was started ( how far the mass was pulled , and how hard it was pushed when released ).