A forced oscillator is a system that is driven by an external periodic force, causing it to oscillate at a frequency determined by that force. This can be seen in various physical systems, such as a swing being pushed at regular intervals or a mass-spring system subjected to an external driving force. The response of the oscillator depends on its natural frequency and the frequency of the applied force. When the frequency of the external force matches the natural frequency of the oscillator, resonance occurs, leading to increased amplitude of oscillation. This phenomenon can be observed in many contexts, including mechanical systems, electrical circuits, and even in acoustic systems. Understanding forced oscillators is essential in fields like engineering and physics, as it helps predict system behavior under external influences.