Swings.

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Simple Harmonic Motion
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Presentation transcript:

Swings

Bridges

Damped Harmonic Motion Energy lost to friction will result in the amplitude decreasing over time.

In many instances damping is a desired effect In many instances damping is a desired effect. For example, shock absorbers in a car remove unwanted vibration.

a sprung system 3-Jan-19

http://ngsir.netfirms.com/englishhtm/Resonance.htm

Bridge dampers 3-Jan-19

http://www.acoustics.salford.ac.uk/feschools/waves/flash/truck.swf

Mr Anderson walks back to HS38 with his 2/3 full cup of coffee, invariably he will spill some…

Resonance ~Driven or Forced Harmonic Motion When a system is disturbed by a periodic driving force and then oscillates, this is called forced oscillation. A system is said to have a ‘natural’ or resonance frequency ( fo ) which is independent of the frequency of the driving force. If the driving force frequency matches the natural frequency… Driving Force then the amplitude can becoming large (and potentially dangerous). This is called Resonance. Resonance frequencies will be explored in Waves (standing waves / harmonics) & AC Circuits (tuning radios).

If the driving force frequency matches the natural frequency…then the amplitude can becoming large (and potentially dangerous). This is called Resonance. The peoples movement (side to side wobble) was synchronised, not a random movement… The frequency of the peoples sideways movement matched the natural frequency of the bridge… The vibration developed when a large number of people picked up the slight sideways movement of a bridge and locked into it… People adjusted their gait (how you walk) in order to stay balanced…

Driven Harmonic Motion If the driving force matches the natural frequency: (for springs) Driving Force (for pendulums) Then the amplitude keeps increasing. This is called Resonance. Web Link: Driven Harmonic Motion