In simple harmonic motion, the velocity of the object is greatest when it has what condition?

In simple harmonic motion, the velocity of the object reaches its maximum when the object passes through the equilibrium position, where the displacement is at a minimum. This is because, at this point, the restoring force is zero, leading to minimum acceleration.

As the object moves towards equilibrium, it accelerates due to the restoring force acting on it, but as it approaches this point, the restoring force diminishes to zero, allowing the object to continue moving at its greatest speed. Thus, when the object is at its minimum displacement (which is considered to be the point closest to equilibrium), the speed is maximized, correlating with the minimum acceleration condition.

The relationship among displacement, velocity, and acceleration is fundamental in understanding simple harmonic motion. By concentrating on these principles, one can see how objects in this motion behave in relation to these physical quantities.