Unit 5 simple harmonic motion
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- Created by: megan
- Created on: 23-03-13 11:19
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- Simple Harmonic Motion
- The maximum displacement from the equilibrium position is the amplitude of the swing
- The pendulum will have zero velocity at maximum displacement
- At zero displacement the pendulum will have maximum velocity
- acceleration is at maximum when the displacement is maximum and zero when the displacement is in the middle.
- Displacement of a pendulum is x=A cos wt
- Combining this with f=-kx give F= -k A cos wt
- a= (-k/m) A cos wt
- Combining this with f=-kx give F= -k A cos wt
- Acceleration happens in the opposite direction of the displacement, when displacement is zero so is the acceleration.
- Kinetic energy of a pendulum varies during its swinging motion
- at each end of the swing the bob is stationary, so it has zero ke.
- The ke is at maximum when the bob passes through the central position.
- The maximum displacement from the equilibrium position is the amplitude of the swing
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