Oscillations (M5) Flashcards

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1
Q

Energy graph of an oscillation

A

PE U shape
KE upside down U shape
Total E straight line

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2
Q

Free oscillation

A

The motion of a mechanical system displaced from its equilibrium position and then allowed to oscillate without and external forces.

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3
Q

Forced oscillation

A

An oscillation in which a periodic driver force is applied to an oscillator.

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4
Q

Phase difference

A

The difference in displacement between two oscillating objects or the displacement of an oscillating object at different times.
Symbol: phi

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5
Q

Isochronos oscillator

A

An oscillator that has the same period regardless of amplitude.

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6
Q

Defining equation for simple harmonic motion

A

SHM is a common kind of oscillating motion for which the acceleration of the object is given by
a = -w^2x where w^2 is constant.

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7
Q

Damping

A

An oscillation is damped when an external force that acts on the oscillator has the effect of reducing the amplitude of its oscillations.

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8
Q

Light damping

A

Damping that occurs when the damping forces are small and the period of the oscillations is almost unchanged.

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9
Q

Heavy damping

A

Damping that occurs when the damping forces are large and the period of the oscillations increases slightly with the rapid decrease in amplitude.

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10
Q

Resonance

A

The increase in amplitude of a forced oscillation when the driving frequency matches the natural frequency of the oscillating system.

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11
Q

Natural frequency

A

The frequency of a free oscillation

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12
Q

Driving frequency

A

The frequency of a driving force

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13
Q

Oscillating motion

A

Repetitive motion of an object around its equilibrium position.

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14
Q

Equilibrium position

A

The resting position of an object in an oscillation

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15
Q

Angular frequency

A

A quantity used in oscillating motion equal to the product of frequency and 2pi
Symbol: w
w = 2pif
w = 2pi/T

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16
Q

Derivation of v in an oscillation

A

1) Total energy = KE + PE so KE = TE - PE

2) PE = 1/2 kxx
PEmax = 1/2 kAA

3) KE = 1/2 kAA - 1/2 kxx
= 1/2 k(AA - xx)

4) F = ma
kx = ma = mwwx
k = mww
1/2 mvv = 1/2 mww(AA - xx)
vv = ww(AA - xx)
v = w rt(AA - xx)

5) v is max when x = 0
vmax = w rt(AA) = wA

17
Q

Energy-displacement graph for simple harmonic oscillator

A

Total energy: constant at max
KE: 0 to max to 0
PE: max to 0 to max