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the oscillation of a body or system with its own natural frequency and under no external influence other than the impulse that initiated the motion(also called free vibrations, opposed to forced oscillations)

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• Liquid sloshing mode
• Vibrating metal plate
• Stretched string

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The damping is a resistance offered to the oscillation. The oscillation that fades with time is called damped oscillation. Due to damping, the amplitude of oscillation reduces with time. Reduction in amplitude is a result of energy loss from the system in overcoming external forces like friction or air resistance and other resistive forces. Thus, with the decrease in amplitude, the energy of the system also keeps decreasing.

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simple harmonic motion is a special type of periodic motion where the restoring force on the moving object is directly proportional to the object's displacement magnitude and acts towards the object's equilibrium position

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the oscillations whose amplitude remains constant with time are called undamped oscillations.

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-Mass on a spring
-Uniform circular motion
-Mass of a simple pendulum
-Scotch yoke

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A guitar string stops oscillating a few seconds after being plucked. To keep swinging on a playground swing, you must keep pushing. Although we can often make friction and other non-conservative forces small or negligible, completely undamped motion is rare. In fact, we may even want to damp oscillations, such as with car shock absorbers.

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-The electronic oscillation (if the losses incurred in the electrical system could be compensated)

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Forced oscillations occur when an oscillating system is driven by a periodic force that is external to the oscillating system.

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Swings