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
      • Angular Velocity
        • w = theta / t
        • x =  A cos (theta)
          • x = A cos (wt)
            • v = -Aw sin (wt)
              • a = -Aw^2 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
    • Natural frequency - oscillates when left alone
    • Forced oscillation
      • Driving frequency
    • Damping
      • Loss in energy
        • Under
        • Over
        • Critically
    • Resonance

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