Oscillations

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What is displacement?
The distance from equilibrium
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What is amplitude?
The maximum displacement from equilibrium
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What is a period?
The time taken to complete a full oscillation
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What is frequency?
The number of complete oscillations per unit time
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What is the equation for angular frequency?
w= 2π/T
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What is the equation for acceleration in SHM?
a= -w^2x
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What is simple harmonic motion?
Oscillating motion for which the acceleration of the object is directly proportional to its displacement and directed towards a fixed point
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What direction does acceleration act?
Opposite to the displacement
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Does the period depend on the amplitude?
No, it is independent
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What is an isochronous oscillator?
One where the period is independent of the amplitude
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What shape does a graph for displacement against time for an SHM oscillator have?
Sinusoidal
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What equations are used for displacement?
x= Acoswt or Asinwt
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What is the equation for velocity of a simple harmonic oscillator?
v= w(A^2-x^2)^1/2
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What is the equation for maximum velocity?
v= wA
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When is an oscillator damped?
When an external force reduces the amplitude of its oscillations
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What is a free oscillation?
When a mechanical system is allowed to oscillated without any external forces
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What is the frequency of free oscillation?
The natural frequency
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What is a forced oscillation?
When a periodic driver force is applied to the oscillator
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What is the frequency of a forced oscillation?
The driving frequency
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What happens when the driving frequency is equal to the natural frequency?
The object will resonate
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What happens as the amount of damping increases?
The amplitude of vibration decreases, the maximum amplitude occurs at a lower frequency than natural, and the peak on the graph becomes flatter
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Other cards in this set

Card 2

Front

What is amplitude?

Back

The maximum displacement from equilibrium

Card 3

Front

What is a period?

Back

Preview of the front of card 3

Card 4

Front

What is frequency?

Back

Preview of the front of card 4

Card 5

Front

What is the equation for angular frequency?

Back

Preview of the front of card 5
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