As a Mission Crew Commander Air Battle Manager on AWACS, we use triangulation by drawing three lines from the movement of our aircraft and plot the direction of radio frequency from enemy SAM sites to plot their location, Can also do the same thing with a downed pilot that needs rescue.
Pretty cool. But doesn’t this assume the density of all the terrestrial material, in that area so defined, is evenly distributed? Seems highly unlikely. And what of the variability of altitude? And lakes as well as any bodies of water? Water has greater density than soils.
He is absolutely correct. There is a geological marker on the point. It’s in Moncure near about the old post office. I remember a field trip as a kid we walked to the post office and they showed us it on the way back. Very cool to see this.
Would have been cool if he did it with out any water along the coast, so we could get an idea of where the center actually was. Or even do this test, then run it through a computer to get the actual center.
The cutout represents coastal bodies of water completely changing the actual COM for the state if it were simply based on land mass and not mapped area.
This is only in 2 dimensional space. In 3 dimensional space he would need the mass distribution of the state and a given depth to base the model off. In 4 dimensional space he would also need the mass changest through time and a given time range.
@@kylesowry7219 no it has to be viewed in 2D if you introduce a 3rd Dimension the center will lay within the object. You can get an approximation but depending on the object shape you can have multiple viable points that lay on opposing sides. The string would have to be able to pass through the object to correctly show the center.
Set it on the edge of a table or on a small cylinder till it just balances. Draw a line at the edge. Then rotate it (90deg ideally) and repeat. You can also rotate around a different axis and get the third point. (x,y,z) This works better than a pin and string for large and complex objects. I'm just a farmer and not a researcher at a fancy university, so what the hell do i know?
@@deanoverlie224 No, geometry is about shapes. This is physics. You find the center point of the object or the center of mass and balance it. Don't try and correct me. It's literally physics. It's not geometry.
You're are both wrong this is applied trigonometry..... See how dumb that sounds. It's a plumb line and that is geometry, sorry just facts. Physics only applied to the balancing of a cardboard cut out not finding the center of it. There is always someone smarter than you, so be more humble in the future okay.@@patricklouie7737
250km due east of dead horse camp.. this is centre of that land mass.. centres anciently believed to be sacred.. there's a g 10m by 10m Square with a dome... its gold. Fascinating
So, for the record here, the North Carolina School of Science and Mathematics is a HIGH SCHOOL. There's no such thing as a "researcher" from there, since they're all teachers. A lot of the teachers there have incredibly lofty credentials with crazy degrees, who may have been researchers in the past, but this is a teacher... teaching. Probably a math or physics class, and using this as a starting point before getting into irregular geometry or physics calculations.
If you've ever experienced the gravity anomaly near Charlotte you know this two dimensional oversimplification is not going to give a close approximation of the CoM of real NC.
This is one of the best examples of how computational methods are used. A machine can center, or converge upon iteration, much quicker than we can physically.
The way I know to do this is to support the object on three fingers and then slowly bring the fingers closer together. If the object is too big, three objects with similar contact size and coefficients of friction should work if you grab two of them and slide in with them...
Note that the center of mass is actually slightly different than the point with lowest average difference to every point. E.g. where you would want to put the capital, power plant, or something like that. Which happens to be the same as the median. Not the median of all of the x and y values, but a definition of the median which generalizes to more dimensions. Called the "geometric median." Which, despite the name, is totally different than the "geometric mean" just to confuse people. And both of these definitions of "center" are totally different than ones taught in geometry. You might have heard of a bunch of different ways to find the center of a triangle, using things like a compass and straightedge. And those points will often be very far away from the center of mass and the geometric median. This is mostly because these definitions of center don't have any nice method to calculate them. Without cutting out shapes and dangling them.
Another way to do this is to toss it spinning into the air and film it at a high frame rate to see what point it is spinning around. Technically air resistance plays a factor, but that’s beside the point.
It is more accurately the centroid of North Carolina. The center of mass only works with three geometric dimensions and a 4th mass dimension. If the mass distribution is uniform, then the centroid and center of mass are the same point.
Any line passing though the center of mass divides the state on two equal areas. Could be some practical use out of it. E.g. fair splitting the state between two rival gangs, LOL Or between two police departments :)
They’ve been doing this test for years it’s not a new thing. Besides this it is very difficult to practically determine the center of mass of an irregular object.
There is no thing as center of gravity, it only exists for spheres or circles in 2d. Center of gravity other wise is from the perspective of the thing that is experiencing, that perceived center of gravity will shift from different positions
This is okay in 2D but you obviously can’t let the string go through a 3D object and draw three lines through the object. This also is assuming there is no friction at the pin.
I like how he clarified that it is the center of mass of this particular cutout of the state, not necessarily that of the state itself, with u even mass distribution etc.
At least he did mention that this was a cutout of the Great State of North Carolina. I'm pretty sure that the center of gravity in actually would be different because western part of the state is home of some of the tallest mountain east of the Mississippi River
It could as easily prove the lengths this man will go to deter the kinds of people who will critique every single word he says. Almost like he's some sort of a scientist or something. Imagine that
@@jonnyb9982Considering I just saw a short where a college student loudly stated it takes 365 days for a photon to go around the earth one time...no, it isn't arrogance.
This could only be possible given that thickness is uniform all through out. Nothing fancy or any mind-blowing here, the computation itself of center of mass has the same idea. What he had done is a physical demonstration of integrating to get the center of mass.
He is right but he forgot to mention one thing. The center of mass of an object is affected by weight. Take a sledge hammer for example, it's center of mass won't be in the middle due to the fact that the weight of the sides are unequal. 🤓
![[FINALE] 💸ที่แท้พ่อเป็นผู้ถือหุ้นบริษัทพันล้าน เขากลับใจตอนนี้ก็สายไปแล้ว🙇🏻♂️#ละครคุณธรรม #short](http://i.ytimg.com/vi/yFwgjTFISUI/mqdefault.jpg)
You missed the opportunity to do the center of mass of Massachusetts
nah too many islands you'd never get them to stay put long enough
Its just a giant Masshole in the middle
@@haulperrel2547 the Cape's always a pain in the rear lol
Mass is at the beginning, not in the center
Get it? MASSSSS achoo shits
Im glad he clarified it was the centre mass of the cardboard cutout and not the actual state
Wait... I thought this was a recreation of him holding up the whole state and hanging a giant rope across it. I feel cheated.
yea, he cleaned it up right at the end... good job for being accurate
You’re thinking wayy too hard 😂
If you wanted to find the actual state's centre of mass, you'd need to recreate it with the proper distribution of mass
😂😂😂
the center of mass of north carolina is also the most boring point in north carolina. Sanford is close to being the most depressing place on earth
One good thing is Sandra's donuts
Only good things in the Carolina’s are golf resorts
@@samorwhatever4485North Carolina's beaches are pretty nice. I damn near got bit by a shark in south Carolina though so screw that place
I guarantee you there’s at least 1000 places in Saskatchewan Canada that are exponentially worse
@@samorwhatever4485 you are wrong
As a Mission Crew Commander Air Battle Manager on AWACS, we use triangulation by drawing three lines from the movement of our aircraft and plot the direction of radio frequency from enemy SAM sites to plot their location, Can also do the same thing with a downed pilot that needs rescue.
That's awesome!
The many things that can be done with math. Damn cool.
glad he cleared up that he is talking about the cut out
Good information
Pretty cool. But doesn’t this assume the density of all the terrestrial material, in that area so defined, is evenly distributed? Seems highly unlikely. And what of the variability of altitude? And lakes as well as any bodies of water? Water has greater density than soils.
Yeah it's a good video that he stole.
@@shacktimeit all averages out unless you have mt Everest somewhere on the map
@@willpitts4491 Utterly ludicrous assertion. The whole nation isn’t Kansas and Nebraska.
"A researcher finds..." Well, I learned this trick from school back in the 80's
He is absolutely correct. There is a geological marker on the point. It’s in Moncure near about the old post office. I remember a field trip as a kid we walked to the post office and they showed us it on the way back. Very cool to see this.
The good old show step one and step three, but not step two routine. Perfect.
To think humans, and animals alike, so these kinds of calculations in our head a such a rapid rate is the coolest part that wasn't even mentioned
He even discloses he was referring to the cutout. Smart man.
(This is also proof the earth is flat)
You know, nerd humour 🤓
😂
Would have been cool if he did it with out any water along the coast, so we could get an idea of where the center actually was.
Or even do this test, then run it through a computer to get the actual center.
..no it's not
@@jamesmcmanusno it's made of Styrofoam and has the same thickness.
If you had an actual topographical map in this fashion it might be pretty accurate
This Short's narrator conflated center of mass and center of gravity as one and the same when they actually are separate phenomena
Oh thank god he clarified that.
The cutout represents coastal bodies of water completely changing the actual COM for the state if it were simply based on land mass and not mapped area.
The whole time, I was expecting this to be a "your mom" joke.
I can confirm that the center of mass only applies to the cardboard cutout.
I'm from Sanford, and we aren't the center of anything lol
I love that this opens in a way that implies this mysterious unnamed man in the video just discovered this principle lmao
This is only in 2 dimensional space. In 3 dimensional space he would need the mass distribution of the state and a given depth to base the model off. In 4 dimensional space he would also need the mass changest through time and a given time range.
good to know in case north carolina ever starts spinning wildly around its axis
Correct me if I’m wrong, but this only works assuming the object is of uniform density.
I'm pretty sure it works as long as it's mostly flat.
I think you’d be able to do this in 3D for any shape, of any density distribution
Yes you are right. The density has been assumed to be uniform.
Nope.
@@kylesowry7219 no it has to be viewed in 2D if you introduce a 3rd Dimension the center will lay within the object. You can get an approximation but depending on the object shape you can have multiple viable points that lay on opposing sides.
The string would have to be able to pass through the object to correctly show the center.
This is center of gravity. For smaller objects or uniform gravitational fields, this coincides with the center of mass
Good thing he's using a homogenous board and using tools with a margin of accuracy that negates literally any differences.
Since the object is much smaller than the earth it's the same and he determined both
This only works for uniform weight distribution, something that’s equally thick all over
As long as the gravitational field is uniformly acting on the object which is like always, the CoG is the same thing as the center of mass
This technique works great! it's how I found the exact geographic center of my Grandma.
I learned this in geometry the other day
Set it on the edge of a table or on a small cylinder till it just balances. Draw a line at the edge. Then rotate it (90deg ideally) and repeat. You can also rotate around a different axis and get the third point. (x,y,z) This works better than a pin and string for large and complex objects.
I'm just a farmer and not a researcher at a fancy university, so what the hell do i know?
Remember learning this in middle school
I really hope we maintain this level of education and not just rely on satellites/technology
The dry humour of scientist is some of the best 😂
Fun, and a great classroom demonstration for kids. (Private school kids will ask about equal weight distribution and density)
"A researcher spent years finding something we all already knew"
Mabye he researched it so that we could know?
Classic physics experiment.
Well - " geometry " .
@@deanoverlie224 No, geometry is about shapes. This is physics. You find the center point of the object or the center of mass and balance it. Don't try and correct me. It's literally physics. It's not geometry.
You're are both wrong this is applied trigonometry..... See how dumb that sounds. It's a plumb line and that is geometry, sorry just facts. Physics only applied to the balancing of a cardboard cut out not finding the center of it. There is always someone smarter than you, so be more humble in the future okay.@@patricklouie7737
@@deanoverlie224would’ve been closer to the mark with Geography 😅
@@patricklouie7737doesn't make you any less of a duche canoe
250km due east of dead horse camp.. this is centre of that land mass.. centres anciently believed to be sacred.. there's a g
10m by 10m Square with a dome... its gold. Fascinating
So, for the record here, the North Carolina School of Science and Mathematics is a HIGH SCHOOL. There's no such thing as a "researcher" from there, since they're all teachers. A lot of the teachers there have incredibly lofty credentials with crazy degrees, who may have been researchers in the past, but this is a teacher... teaching. Probably a math or physics class, and using this as a starting point before getting into irregular geometry or physics calculations.
Love how he clarified to the art majors Sanford was just a point on the cutout, not the actually city.
If you've ever experienced the gravity anomaly near Charlotte you know this two dimensional oversimplification is not going to give a close approximation of the CoM of real NC.
Good thing everything has uniform density
Ahh, the before times. When we calculated integrals by weighing cut outs of graph paper, and had books full of logarithms.
I’ve seen people use this technique in construction to replace a level and it works
This is one of the best examples of how computational methods are used. A machine can center, or converge upon iteration, much quicker than we can physically.
I always wondered how a plumbis can map the center point of mass
It should be noted that the center of mass for an object is not necessarily its center of gravity. There are exceptions
Yes but only significant when working in the scale of the actual state, not in engineering objects.
Here in Germany I learned this in eighth grade.
It's much easier to just try and balance it on one finger. You can find it in less than five seconds
I thought this was common elementary school knowledge
Wouldn’t the point need to be held at it’s highest point possible? If he rotated the map it would give you different answers
when he said ".just this cutout of it." i felt it was peak humor
Wow thanks a lot for explaining year 7 physics
The way I know to do this is to support the object on three fingers and then slowly bring the fingers closer together. If the object is too big, three objects with similar contact size and coefficients of friction should work if you grab two of them and slide in with them...
Wait a goddamn second is this why the slogan of Sanford is "Well Centered"?
Weighting the cardboard cutout with a representation of population density would be neat.
Using a chalk line would make this demonstration easier to reproduce
Note that the center of mass is actually slightly different than the point with lowest average difference to every point. E.g. where you would want to put the capital, power plant, or something like that. Which happens to be the same as the median. Not the median of all of the x and y values, but a definition of the median which generalizes to more dimensions. Called the "geometric median." Which, despite the name, is totally different than the "geometric mean" just to confuse people.
And both of these definitions of "center" are totally different than ones taught in geometry. You might have heard of a bunch of different ways to find the center of a triangle, using things like a compass and straightedge. And those points will often be very far away from the center of mass and the geometric median. This is mostly because these definitions of center don't have any nice method to calculate them. Without cutting out shapes and dangling them.
Another way to do this is to toss it spinning into the air and film it at a high frame rate to see what point it is spinning around.
Technically air resistance plays a factor, but that’s beside the point.
If someone really hid treasure somewhere in the city of Sanford and points it in the middle of a math class,
I went to this school once and the cutout and the center of gravity point is still there i believe, hanging somewhere
This idea is probably 4,000 years old.
For real
That kinda look like the eclipse getting ready to happen..
Not gonna lie, initially I thought he was a young James Cromwell.
He should have used Massachusetts;
Center of Mass. 🤷🏻 #dadjoke
I was thinking that was the joke, then I just realized I’m terrible at geography
but we do know the centre of mass in Massachusetts: it' your mom! #dadjoke
I thought the centre of it was "achu". Like a sneeze, but not quite
It is more accurately the centroid of North Carolina. The center of mass only works with three geometric dimensions and a 4th mass dimension. If the mass distribution is uniform, then the centroid and center of mass are the same point.
Any line passing though the center of mass divides the state on two equal areas. Could be some practical use out of it.
E.g. fair splitting the state between two rival gangs, LOL
Or between two police departments :)
I swear I'll watch anything at this point
The professor then asks for a volunteer student to demonstrate center of human mass…
They’ve been doing this test for years it’s not a new thing. Besides this it is very difficult to practically determine the center of mass of an irregular object.
The center of mass is where your mom lives.
Bro was dangling me around
There is no thing as center of gravity, it only exists for spheres or circles in 2d. Center of gravity other wise is from the perspective of the thing that is experiencing, that perceived center of gravity will shift from different positions
My science teacher had us do this in like 6th grade maybe 8th it was mind blowing at the time
That last disclaimer was for people watching this in 2024
This is okay in 2D but you obviously can’t let the string go through a 3D object and draw three lines through the object. This also is assuming there is no friction at the pin.
These were the cool physics experiments that actually taught us stuff
I like how he clarified that it is the center of mass of this particular cutout of the state, not necessarily that of the state itself, with u even mass distribution etc.
Ironically, Sanford’s motto is “well centered.”
bro found the moment of inertia in the x and y direction divided them respectively by the mass and thought we wouldn't notice.
Dont mind the unassignable bodies of mass at the edges
At least he did mention that this was a cutout of the Great State of North Carolina. I'm pretty sure that the center of gravity in actually would be different because western part of the state is home of some of the tallest mountain east of the Mississippi River
Excellent point! I’m proud to be from NC and will always love it for its storied natures.
Nope. The beaches have a LOT of tiny rocks so it equals out.
"I was talking about the cutout and not the state" to have to explain this proves the majority of the population is under par in common sense.
No. Just North Carolinians.
It actually proves nothing except for how arrogant you are.
It's dry sarcasm, obviously. Professors love to make those kinds of jokes.
It could as easily prove the lengths this man will go to deter the kinds of people who will critique every single word he says. Almost like he's some sort of a scientist or something. Imagine that
@@jonnyb9982Considering I just saw a short where a college student loudly stated it takes 365 days for a photon to go around the earth one time...no, it isn't arrogance.
Thats y they r always tippyy towards one side ,not centered
Hey i live 2 hours from Sanford. We drive through there to get to Raleigh. It’s wild that’s the mid point considering how close it is to the capital !
Don't know why I needed to know this, but thank you TH-cam!
Glad he was shrewd enough to add the disclaimer to cointer any furure youtubers trying to disect gis lecture on CG
The center of gravity is the letter V
Bro this is our physics book,he did not find anything new💀💀. It is called the plumbline experiment to find to CG of an Irregular lamina
This could only be possible given that thickness is uniform all through out. Nothing fancy or any mind-blowing here, the computation itself of center of mass has the same idea. What he had done is a physical demonstration of integrating to get the center of mass.
Can you do Colorado next time???😂
we did this as a physics homework in middle school ...
Bruh that's genius . If your lifting something like ...say irregular shaped trusses .....
He is right but he forgot to mention one thing. The center of mass of an object is affected by weight. Take a sledge hammer for example, it's center of mass won't be in the middle due to the fact that the weight of the sides are unequal. 🤓
The same exact trick he used here would also find the center of mass of a sledgehammer
another method is to spin the object in two different axis and mark the point of intersection of those axes
Only works if the entire map has the same density and thickness
It should work for every 3d object. The center of mass always dangles right under where it is hung
... Assuming the density is equal throughout the whole object...
If that was the center of mass, why did it fall as soon as he let go when it was balancing on the post?
When you accidentally take double your Adderall
Only of the object is of consistent density. Still cool though.
Glad he clarified hahahaha
Carpenter's have literally known this for thousands of years.
Thanks God he precised that at the end because I was about to say that this is BS. 😂😂😂
is that the Madagascar shape and also the shape of Madagascar reminds me a cruiser sheep shape😂😂😂😂
Where you hang it from changes the center of gravity, making this experiment method useless...
that's not how the center of gravity works, kiddo.