Oscillations

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What is simple harmonic motion?
Periodic motion about an equilibrium position, whereby acceleration is proportional to displacement and acts towards equilibrium position.
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What is a free oscillation?
Frequency of system is natural frequency.
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What is a forced oscillation?
Force is applied continuously to the system. The frequency is that of the vibration force.
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When displacement is 0, what is velocity and acceleration?
Velocity is maximum, acceleration is 0
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When velocity is 0, what is displacement and acceleration?
Acceleration is maximum, displacement is maximum
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When acceleration is 0, what is velocity and displacement?
Velocity is maximum, displacement is 0
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Time period for a mass-spring system oscillating
2π√m/k
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Time period for a pendulum system oscillating
2π√l/g
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Natural frequency =
1/T
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Where is kinetic energy maximum?
When displacement is 0
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Where is potential energy maximum?
When displacement is maximum
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What is damping?
Occurs when energy is transferred out of a system resulting in reduced amplitude
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What is light damping?
When oscillations are reduced slowly
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What is critical damping?
When oscillations are stopped in the quickest time possible
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What is overdamping?
When amplitude is reduced to 0 within one oscillation
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What is resonance?
Occurs when the frequency of a system is forced to be equal to the natural frequency of the system
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What happens when resonance occurs?
Rate of energy transfer is maximum, driving force is π/2 out of phase and ahead of oscillations, amplitude is maximum
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How does damping affect resonance?
Damping decreases the effect of resonance, and causes the natural frequency to decrease
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Why are ductile materials used for damping?
They can undergo significant plastic deformation before breaking. Therefore it can absorb energy when being deformed.
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Other cards in this set

Card 2

Front

What is a free oscillation?

Back

Frequency of system is natural frequency.

Card 3

Front

What is a forced oscillation?

Back

Preview of the front of card 3

Card 4

Front

When displacement is 0, what is velocity and acceleration?

Back

Preview of the front of card 4

Card 5

Front

When velocity is 0, what is displacement and acceleration?

Back

Preview of the front of card 5
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