# Oscillations

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- Created by: Opugh
- Created on: 18-05-14 15:57

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- Oscillations
- Simple Harmonic Motion
- Force is proportional to the displacement from the equilibrium position and always towards it
- F = -kx
- Can relate this to F = ma

- F = -kx
- Angular Velocity
- w = theta / t
- x = A cos (theta)
- x = A cos (wt)
- v = -Aw sin (wt)
- a = -Aw^2 cos(wt)

- v = -Aw sin (wt)

- x = A cos (wt)
- F = -kx
- F = -kA cos(wt)

- Graphs
- x = cos
- V = - sin
- Displacement differentiated

- a = -cos
- Velocity differentiated

- Max/Mins
- Dispacement and Acceleration are equal but opposite
- Zero displacement/ acceleration - max velocity

- Energy
- Total energy is constant
- KE varies with velocity
- PE is max at max x
- KE + PE = total
- This is only true if no energy is lost - closest we can get is vacuum

- Force is proportional to the displacement from the equilibrium position and always towards it
- Natural frequency - oscillates when left alone
- Forced oscillation
- Driving frequency

- Damping
- Loss in energy
- Under
- Over
- Critically

- Loss in energy
- Resonance

- Simple Harmonic Motion

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