Free and Forced oscillations
Free Oscillation: Free oscillations refer to the natural, unforced vibrations of a system that occur when the system is displaced from its equilibrium position and then released.
The system oscillates at its natural frequency until energy dissipates due to damping.
For example, swinging a pendulum allows it to move freely back and forth without any additional force once released.
Forced Oscillation: This happens when an external force continuously acts on a system to keep it oscillating.
The frequency of oscillation is determined by the external force rather than the system’s natural frequency.
An example would be a child on a swing being pushed periodically.
Differences:
Source of Oscillation: Free oscillations originate from an initial disturbance, while forced oscillations require a continuous external influence.
Frequency: Free oscillations occur at the system's natural frequency, whereas forced oscillations can occur at a frequency dictated by the external force.
Energy Dissipation: In free oscillations, the system will gradually lose energy over time, while in forced oscillations, energy is consistently supplied from the external force.
In Practice: Free oscillations are seen in systems like clocks or musical instruments, where the natural frequency is significant for performance.
Forced oscillations are critical in systems like an electrical circuit with an alternating current, where maintaining constant oscillation is necessary for proper functioning.