simple harmonic motion Flashcards

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1
Q

pressure

A

force / area Pascals

increasing force = larger pressure

increasing area = smaller pressure

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2
Q

compression

A

more pressure

peak above x axis

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3
Q

rarefraction

A

less pressure

peak below x axis

less molecules than atmospheric pressure w/ no sound

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4
Q

wave

A

a disturbance within a medium that propagates w/ a velocity that depends on the medium

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5
Q

longitudinal wave

A

energy is transported through the medium w/out permanently transporting matter

sound

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6
Q

medium

A

any material that has:

mass - therefore inertia
stiffness - therefore restoring forces

a material that has these 2 can vibrate

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7
Q

simple harmonic motion

A

simplest form of vibratory motion

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8
Q

what does shm require

A

2 properties of objects

mass
stiffness

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9
Q

spring-mass system

A

spring mass at rest = equilibrium

w/ external force = spring extended

after removing external source = spring compressed
restoring force pulled it back beyond equilibrium –> makes it continue oscillating

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10
Q

hooke’s law

A

the restoring force is proportional to the displacement

when this condition is satisfied, the object undergoes SHM

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11
Q

quantifying shm

A

described by a periodic fucntion sine

more complex motions or signals can be represented as a sum of many sine waves - fourier analysis

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12
Q

visual representation of shm

A

x axis = distance or time

y axis = displacement, amplitude, or pressure

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13
Q

parameters of shm

A

amplitude - how big

frequency - how fast
inverse of period - how long

phase - when (where in the cycle)

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14
Q

amplitude

A

measure of magnitude of the oscillation

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15
Q

period

A

time taken to complete one full cycle of motion

measured in units of time

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16
Q

frequency

A

rate of oscillation

how fast the wave repeats

Hz = number of cycles / second

17
Q

frequency & period

A

relationship is reciprocal

f = 1/T

18
Q

if period is halved, what happens to frequency?

A

frequency is doubled

19
Q

wavelength

A

length of 1 cycle of a wave

measured in units of length

higher frequency = smaller wavelength

20
Q

phase

A

where you start

0 degrees
90 degrees
180 degrees
270 degrees

21
Q

formula for shm

A

x(t) = A sin (2 [pi] f t + [phase])

f = 1/T

22
Q

shm as uniform vibratory motion

A

vibratory motion = dot moving around circumference of a circle at a constant rate

if f = 1 Hz, dot goes around circle once / second

23
Q

sound is shm

A

happens when a source acts on a medium w/ mass & stiffness