The equation of dicp lament, velocity and acceleration for Simple harmonic motion . Can you simplify these equation step by step by using the famous symbols such as dx/dt rather than x^.

Displacement in Simple Harmonic Motion

 

    

The behaviour of a simple harmonic oscillator is expressed in terms of its displacement x from equilibrium, its velocity x, and its acceleration x at any given time. If we try the solution x-Acosit where A is a constant with the same dimensions as x, we shall find that it satisfies the equation of motion x +wx = 0 for - Awsinwt and -Aw Displacement in Simple Harmonic Motion 5 coswt Another solution x = Bsinwt is equally valid, where B has the same dimensions as A, for then x - Bcosit and