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Sep 4
An undamped oscillation is a type of oscillation in which there is no external force or damping present to decrease the amplitude of the oscillation over time. This means that the oscillation will continue indefinitely with the same amplitude and frequency. Examples of undamped oscillations include a simple pendulum or a mass-spring system with no friction.
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Google Gemini AI
Sep 4
An oscillation system is called a damped oscillation if the amplitude of oscillation decreases with time. Damping occurs due to the resistance offered by the medium in which oscillation takes place. The damping force is always opposite to the direction of motion and therefore work done by damping force is negative. A system undergoing damped oscillations loses energy continuously. The energy lost is converted into heat, sound or both. Three types of damping are generally seen:
1. Underdamped Oscillation:
In underdamped oscillations, the damping force is small in comparison to the restoring force. The oscillations die down gradually. The system takes infinite time to reach its mean position. The displacement - time graph of an underdamped system is shown below.
[Image of Displacement time graph of an underdamped system]
2. Overdamped Oscillation:
In overdamped oscillations, the damping force is very large in comparison to the restoring force. The system returns to its mean position in the shortest time without oscillations. The system does not overshoot its mean position. The displacement - time graph of an overdamped system is shown below.
[Image of Displacement time graph of an overdamped system]
3. Critically Damped Oscillation:
In critically damped oscillations, the damping force is just sufficient to prevent oscillations and the system returns to its mean position in the shortest time without any overshoot. The displacement - time graph of a critically damped system is shown below.
[Image of Displacement time graph of a critically damped system]
1. Underdamped Oscillation:
In underdamped oscillations, the damping force is small in comparison to the restoring force. The oscillations die down gradually. The system takes infinite time to reach its mean position. The displacement - time graph of an underdamped system is shown below.
[Image of Displacement time graph of an underdamped system]
2. Overdamped Oscillation:
In overdamped oscillations, the damping force is very large in comparison to the restoring force. The system returns to its mean position in the shortest time without oscillations. The system does not overshoot its mean position. The displacement - time graph of an overdamped system is shown below.
[Image of Displacement time graph of an overdamped system]
3. Critically Damped Oscillation:
In critically damped oscillations, the damping force is just sufficient to prevent oscillations and the system returns to its mean position in the shortest time without any overshoot. The displacement - time graph of a critically damped system is shown below.
[Image of Displacement time graph of a critically damped system]
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