How can the shape in this picture be descibed mathematically?
I'm reading an article on Boltzmann that contains the following figure:
It is obviously related to harmonic oscillators (since the article says so), but how could I describe this figure mathematically? I've seen it somewhere before, but have no recollection of where.
mathematical-physics mathematical-modeling
asked Jan 4 at 19:20
TheSodesaTheSodesa
1178
add a comment |
I'm reading an article on Boltzmann that contains the following figure:
It is obviously related to harmonic oscillators (since the article says so), but how could I describe this figure mathematically? I've seen it somewhere before, but have no recollection of where.
mathematical-physics mathematical-modeling
asked Jan 4 at 19:20
TheSodesaTheSodesa
1178
4
en.wikipedia.org/wiki/Lissajous_curve
– Lord Shark the Unknown
Jan 4 at 19:20
add a comment |
I'm reading an article on Boltzmann that contains the following figure:
It is obviously related to harmonic oscillators (since the article says so), but how could I describe this figure mathematically? I've seen it somewhere before, but have no recollection of where.
mathematical-physics mathematical-modeling
asked Jan 4 at 19:20
TheSodesaTheSodesa
1178
I'm reading an article on Boltzmann that contains the following figure:
It is obviously related to harmonic oscillators (since the article says so), but how could I describe this figure mathematically? I've seen it somewhere before, but have no recollection of where.
mathematical-physics mathematical-modeling
mathematical-physics mathematical-modeling
asked Jan 4 at 19:20
TheSodesaTheSodesa
1178
asked Jan 4 at 19:20
TheSodesaTheSodesa
1178
asked Jan 4 at 19:20
TheSodesaTheSodesa
1178
asked Jan 4 at 19:20
TheSodesaTheSodesa
1178
asked Jan 4 at 19:20
TheSodesaTheSodesa
1178
1178
4
en.wikipedia.org/wiki/Lissajous_curve
– Lord Shark the Unknown
Jan 4 at 19:20
add a comment |
4
en.wikipedia.org/wiki/Lissajous_curve
– Lord Shark the Unknown
Jan 4 at 19:20
4
4
en.wikipedia.org/wiki/Lissajous_curve
– Lord Shark the Unknown
Jan 4 at 19:20
en.wikipedia.org/wiki/Lissajous_curve
– Lord Shark the Unknown
Jan 4 at 19:20
add a comment |
1 Answer
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Lissajous figure with $x = sin (4 t)$ and $y = sin (7 t)$.
Count the number of extrema along the top and along the side to get the ratio of frequencies.
answered Jan 4 at 19:55
David G. StorkDavid G. Stork
10.1k21332
Just get out your oscilloscope and a couple of sine wave generators. (From my high school physics lab)
– marty cohen
Jan 4 at 20:32
add a comment |
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1 Answer
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1 Answer
1
active
oldest
votes
active
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votes
active
oldest
votes
Lissajous figure with $x = sin (4 t)$ and $y = sin (7 t)$.
Count the number of extrema along the top and along the side to get the ratio of frequencies.
answered Jan 4 at 19:55
David G. StorkDavid G. Stork
10.1k21332
Just get out your oscilloscope and a couple of sine wave generators. (From my high school physics lab)
– marty cohen
Jan 4 at 20:32
add a comment |
Lissajous figure with $x = sin (4 t)$ and $y = sin (7 t)$.
Count the number of extrema along the top and along the side to get the ratio of frequencies.
answered Jan 4 at 19:55
David G. StorkDavid G. Stork
10.1k21332
Just get out your oscilloscope and a couple of sine wave generators. (From my high school physics lab)
– marty cohen
Jan 4 at 20:32
add a comment |
Lissajous figure with $x = sin (4 t)$ and $y = sin (7 t)$.
Count the number of extrema along the top and along the side to get the ratio of frequencies.
answered Jan 4 at 19:55
David G. StorkDavid G. Stork
10.1k21332
Lissajous figure with $x = sin (4 t)$ and $y = sin (7 t)$.
Count the number of extrema along the top and along the side to get the ratio of frequencies.
answered Jan 4 at 19:55
David G. StorkDavid G. Stork
10.1k21332
edited Jan 4 at 20:47
answered Jan 4 at 19:55
David G. StorkDavid G. Stork
10.1k21332
answered Jan 4 at 19:55
David G. StorkDavid G. Stork
10.1k21332
answered Jan 4 at 19:55
David G. StorkDavid G. Stork
10.1k21332
10.1k21332
Just get out your oscilloscope and a couple of sine wave generators. (From my high school physics lab)
– marty cohen
Jan 4 at 20:32
add a comment |
Just get out your oscilloscope and a couple of sine wave generators. (From my high school physics lab)
– marty cohen
Jan 4 at 20:32
Just get out your oscilloscope and a couple of sine wave generators. (From my high school physics lab)
– marty cohen
Jan 4 at 20:32
Just get out your oscilloscope and a couple of sine wave generators. (From my high school physics lab)
– marty cohen
Jan 4 at 20:32
add a comment |
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4
en.wikipedia.org/wiki/Lissajous_curve
– Lord Shark the Unknown
Jan 4 at 19:20