Oscillations and Simple Harmonic Motion
- Created by: theninjaemu
- Created on: 26-09-17 11:19
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- Oscillations and Simple Harmonic Motion
- Oscillating motion
- The oscillating object always has to start in an equilibrium position
- When a force is applied, it begins to oscillate
- Eventually the object reaches its maximum displacement, before returning to its equilibrium position
- It then goes to reach its maximum negative displacement, and then returns to the equilibrium
- The graph of an oscillating object is sinusodial
- Terminology
- Displacement: distance from the equilibrium position
- Amplitude: the maximum displacement from the equilibrium position
- Period: The time taken to complete one full oscillation
- Frequency: The number of complete oscillations per unit time
- Phase difference: the differences in displacement for 2 oscillating objects
- Angular frequency
- Used to describe the motion of an oscillating object
- angular frequency = 2(pi) x frequency
- angular frequency = 2(pi)/period
- Simple Harmonic Motion
- acceleration = -(angular velocity)^2 x displacement
- Acceleration is directly proportional to displacement. -(angular frequency)^2 is a constant
- Acceleration acts in the direction opposite to the displacement
- The gradient of the graph of acceleration against displacement is equal to -(angular frequency)^2
- As the amplitude increases, so does the average speed, so the period doesn't change (isochronous oscillator)
- Oscillating motion
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