What would the shape of the graph have to be to correctly show the acceleration, of a particle undergoing Simple Harmonic Motion varies with its displacement, from its equilibrium position on an acceleration vs displacement graph
The shape of the graph would be a sinusoidal curve, similar to a sine or cosine wave. The amplitude of the curve would vary depending on the parameters of the simple harmonic motion system, such as the amplitude and frequency of the oscillation. The acceleration would be zero at the equilibrium position and reach a maximum value at the maximum displacement from equilibrium. The acceleration would then decrease as the particle moves back towards the equilibrium position.
