Complex harmonic motion
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In physics, complex harmonic motion is a complicated realm based on the simple harmonic motion. The word "complex" refers to different situations. Unlike simple harmonic motion, which is regardless of air resistance, friction, etc., complex harmonic motion often has additional forces to dissipate the initial energy and lessen the speed and amplitude of an oscillation until the energy of the system is totally drained and the system comes to rest at its equilibrium point.
In physics, complex harmonic motion is a complicated realm based on the simple harmonic motion. The word "complex" refers to different situations. Unlike simple harmonic motion, which is regardless of air resistance, friction, etc., complex harmonic motion often has additional forces to dissipate the initial energy and lessen the speed and amplitude of an oscillation until the energy of the system is totally drained and the system comes to rest at its equilibrium point. F=-cv. The diagram shown on the right indicates three types of damped harmonic motion. Critically damped: The system returns to equilibrium as quickly as possible without oscillating. Underdamped: The system oscillates (at reduced frequency compared to the undamped case) with the amplitude gradually decreasing to zero. Overdamped: The system returns (exponentially decays) to equilibrium without oscillating. See video: https://www.youtube.com/watch?v=aCocQa2Bcuc
See also
Cymatics Lissajous curve Double pendulum Resonance
References
Text derived from https://en.wikipedia.org/w/index.php?oldid=1323487193 under CC BY-SA 4.0; modifications have been made.