Displacement, Velocity and Acceleration in Simple Harmonic Motion
Simple harmonic motion is sinusoidal – it can be expressed in terms oforfunctions or a sum ofandfunctions.
orall imply simple harmonic motion.
Ifthen we can find the velocityand the accelerationby differentiation:
This is illustrated in the diagram below.
Notice thatandhave opposite signs, andislarger in magnitude.
The displacement leads the velocity byof a cycle and the velocity leads the acceleration byof a cycle.