Reacting to an 1876 MIT exam ft. Physics Girl
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- Опубликовано: 17 июн 2024
- Thanks to Dianna from Physics Girl for joining me in this video. We also filmed a video on her channel about a modern MIT physics exam.
• The Hardest Exam I Eve...
MIT 1876 geometry entrance exam. File was available on MIT online archives but old link is now broken and new location unknown.
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This video was filmed at the RUclips Space LA. Наука
Exam shown from 2:51.
Would you be able to pass it?
Will definitely try.
I am a Mechanical Engineer & a Physics and mathematics enthusiast. I will surely attempt.
Immediately came here after watching physics girl
No
Pass I very seriously doubt; are there still marks for an incorrect attempt? The 1st three questions there was I thought a correalation of 1 example!
Key point learned from this collab: long blonde hair game is strong for physicists.
Can confirm
This may be true ... but have you tested this with a Van de Graff generator? 😁
Isn't there a large generator in the lecture theatre where they hold 8.02?
@@vinays1234 wtf man
I think u should try to focus on ur future like being a scientist or something else instead of doing videos on internet n wasting ur time follow a chemistry ideal women Marie curie who gave her 12 year life to research only on radiation n due to radiation died for our better future
@@ganpatikumarchoubey8878 I think you should let people follow their passion, and not tell them what to do and not to.
Good to know I’m stupid at any point in time
Woah look who's here
Have you taken a summer break?
Daily physics uploader...🙌
Thank you for suggesting physics book in your channel...I have bought almost all of your suggestions...
Nah boi, you’re killin’ it with your tensors👌
I hope Diana will get better soon! I had no idea she was featured on your channel!
A geometry exam without any shapes...
Chuckles
Im in danger
You speak the language of the gods!
@@InvinciblePepe he is talking about euclidean geometry
I wish Diana a speedy recovery!
Most toughest exam is that for which you realise a day before that you have studied nothing
Well said
Or the one where, if out of 100 possible questions there are five you cannot answer, those five are the only questions on the exam ... even though you only have to answer any four out of the five.
Welcome to life.
One day (in university) I studied my whole week for a finance test on the day of the exam it was the human ressources teacher that showed up, my finance test was the next week ...
I thought my college biology exam was on Wednesday, but it was on Monday. I learned this when the teacher told us to put away our notes and binders. I somehow got a B on it, despite never studying.
Best wishes for Diana!
Rule in exam #1: Answer the questions, ONLY.
In this case, only points 4-6 need to be answered.
Using the information contained in 1-3.
4-6. No kidding. Astonish me. I can't wight. Or is that a weight of an unstable element. 4-6. Hmm . Are you changing me? Let's go smarty pants. U were saying??????
Great Video!! it was good seeing a older tests from one of my favorite technical and mathematical schools. Its interesting how simplistic mathematics was back then and how difficult and well fleshed out it has become.
These are two of my favorite RUclips education-entertainment creators. You ladies are great!
Whoa! Physics Girl + Tibees. What a dream-team ^^
It doesn't matter as much to forcibly remember the shape "frustum" as it does to have the insight into solving the actual problem.
This has been a learning moment. Thank you!
Einstein, Newton, Diana and Toby.....All of them have two things in common. All of them studied PHYSICS & had/have LONG HAIR.
More than 2 though, they were all also infamously involved with the occult, and they were all interested in separating a technocratic master class from the rest of humanity... that is not these 2 girls but definitely Einstein, Newton, even Ben Franklin, Pythagoras, really anyone who was ever a key figure in this field
@@AJ0223Oh dear... You don't seriously believe this, do you?
Great idea for a video! Hope to see you two working together again in the future!
Honestly I was wanting a collab b/w you and Diana a few days ago and this came to me as a surprise... Beautiful video! And the questions without any "question" was a new one... 👍🏻
Wow😃😃😃 never thought you will Collab with each other. You both are my favourite RUclipsrs and I am so happy to see you both in a single frame.
Please do more such Collab in future also
Yes a cooperation with Dianna! Love her channel!
Nice to see Diana's smile and hear her laughter! So glad to see her on your channel!
It’s so much fun and also so insightful to see physicists solve problems.
I can’t believe you two actually collaborated. Thanks for listening to my suggestion Diana
Love this vid🥰
hope you make collabs with other physicists coz these are awesome 🙃
fustrum is a part (rather: portion) of a 3D solid between two parallel planes cutting it (or passing through it). it's what remains when some really bad person cuts away both ends of a bread loaf. :oP
In that case everyone loves to eat the frustrum of bread! Crazy, right?
Is it called the frustum because you're frustrated about not being able to eat the ends of the bread?
To me it sounded like a German word but apparently it's derived from Latin for "crumb", so you know I think you're bloody onto something with your bread theory.
@@Dractonis I assure you, 'frustum' is not even close to a German word. The German version would be 'Kegelstumpf' or 'Pyramidenstumpf' depending on what geometric body you based it on.
Hi @tibees I just love U're videos and the reason for it tat u Makin videos on different subjects (like physics , jee etc) which is quite unike and great keep up the good work. 👍
I'm really glad to see we still have some people that are trying to improve the education and level of thinking of others.
Thanks for everything:)
Awesome to see these two great woman together in this video.
Great video. Thanks Toby and friend 🙂.
Goodness! another youtube colaboration! Love it.
Awesome video as always.
my name is Diana too ! and I love the geometry is my favorite subjet since I had 13 Years old !
thank u Diana y Toby
Brilliant online education.thanks for everything:)
Oh, i didnt know you did a collab! I hope the best for Diana.
proud to say i understood all of these and was able to do the proofs as well. thinking i should have went to MIT :)
Marvel: Avengers is the most epic crossover of all times
Me: watch this! - Tibees x Physics girl
I know that one, it's |Tibees| |Physics Girl|sin theta.
So good!
other youtubers: unboxing of tech things
*Tibees:This is what an 1876 MIT geometry exam looks like*
Diana's jacket is really the most coolest things I have seen in a while...
Imagine going to give an exam wearing it...🤓🤓🤓
My reaction to an MIT exam -- run away as fast as I can.
My first thought was that the problems are hard for us because we don’t know the foundation of an 1876 candidate and what he was allowed to assume. Then I realized that - yes, of course we know! Given the year, I suspect that these are all propositions from Euclid’s “Elements” (or at least some are) and the examiner want to see you reproduce the exact argument used by Euclid.
A frustum is a pyramid or conic shape with the top section cut off. Most commonly used in APFSDS rods as the penetrating section
Although never a physics (or math) major I did know frustum. I must be very old.
I think the best mental mindset to be in, when watching these videos, is how can I ask better questions to get ahead not just in the test but life ...
Frustum is a commonly used term to describe a parallel cut-out from a pyramid or cone. It's common with toy problems involving pyramids and cones but can also apply to more general solid shapes.
I suspect you are simply expected to draw the described forms in the first few "questions", to prove that you know the concepts and terminology.
I hope you don't mind saying, marvelous trousers toby!
No picture on that exam gave me chills.
Glad to know that, as a high schooler, I could get a couple of these questions right.
These looks like the exercise I had to do in my first and second year of high school, we had math which was divided in algebra and geometry
I went to Toulouse Institute of Technology. I'm not sure it's appropriate to abbreviate it.
Louis Francisco lol
Transire suum pectus mundoque potiri. Quoted from Luigi above.
I solved most of them in school while preparing for IIT-JEE. The first problem has a nice name called the mid point theorem.
That smile makes the sun rise each day.
I learned what a frustum was at school, but I next encountered the word while reading about the space shuttle's solid rocket boosters, where the frustum is the top of the booster where the parachutes are stored.
Physic's Girl brought me here. Glad she did. :) New sub.
The questions sound like the same manner computer code is written, before they knew what computer code would look like if written out.
Oh boy this type of high school geometry questions still haunts me....
I think they might want you to answer “true” or “false” on the first question, accompanied by a proof of course.
it is badly phrased by modern standards. the command term "if" defines/supposes a statement, and therefore without a further command isn't really a question. It should have a prove or disprove in there somewhere
I've heard a few years back that a 1900's, like 1918 or something test was given to some college kids and they failed it miserably.
Please note the paper does say (for one of the questions) to look at the blackboard for directions. So it's possible further instructions were given.
As as retired master mariner before the days of GPS, nay, calculators. We used astronomical almanacs, sextants and tables (Norie's and Burton's in the British commonwealth). Various functions of angles were tabulated to simplify calculations. The secant of x is 1 divided by the cosine of x. We also had the haversine of x which is 1/2 of 1 minus cosine x.
Also, I think that the polar triangle, in the question, refers to triangles drawn on a sphere. Spherical trigonometry, the basis of navigation.
It was long time ago and I might have dreamt it all.
Interesting video , tackling in more depth techniques used to analyse DNA sequencing techniques
Slightly different way of thinking about question 5: Rather than computing the area of each trapezoidal lateral face, one can combine the faces to make a single parallelogram, and calculate that area. This way of intuiting imposes an extra step in the proof, but it's how I arrived at it ^^ Thought that was slightly interesting.
Great to see historic test.
Would be great if you could get a historic exam from Cambridge Uni and see what Newton's exams were like. Or the oldest exams you can find...
Also my mom wasnt 'allowed' to study physics in a very elite highschool in 1950s because she was female. I assume MIT didnt have such issues in 1800s?
- I had so much fun (and confusion) with this video.
- I get the impression the first three statements were asking if they were "True" or "False", required the use of a drawing compass, and the student was being asked to scribe (show) their work.
- Note: #1 doesn't specify the type of triangle and it would be "False" for the scalene while "True" for the isosceles and equilateral.
- Notice how most of these questions could have a nautical navigation/cartographic application? I wonder how many applicants knew how to use a sextant?
Feels to me like this is an oncomplete sheet. Like the sentences in the objectives relate to like a picture of an object or situation explained on a seperate paper
I know, late to the party, but I have a question. Could it be that question #1 was the instruction for how to cut the sides (4x) of the pyramid to create the frustum? Maybe they wanted the top perimeter to be one-half the length of the bottom perimeter. I think.
Noone :
RUclips : *Here's what an exam from 1876 looks like*
Did you watch only what you asked for? Obviously not. You arent clever enough anyway.
In Italy we still use all of this terms, apart "frustum"
If you add "Specify the resulting geometric shapes and their properties (if)..." to the first two questions, you get a reasonably complex and sensible test of the student's understanding of mid-level Euclidian geometric concepts.
Frustum is the shape which we see as flower pot and a bucket
This is now a regular class test of 10th class in India.
Bro end of class 10
I wouldn’t be able to get into MIT anyway in 1876 because my country didn’t even have math exam those times.
I love how the exam is just 'use Pythagorean and Thales' theorem' and some basic stuff but without telling you that you have to use them
Yahhh, you nailed it!
Coming from a Computer Graphics background, I encounter frustums a lot :D
The first question is taught in high school here..we call it Mid-Point theorem
The point is whether you see taught the proof
I just failed my hyperbolic geometry course :(...miss normal geometry stuff
The first one is so easy , that use the intercept theorem . If you have a triangle ABC cut by this parallel line in points D and E then AD/AB=AE/AC=DE/BC and so ((1/2)AB/AB)=DE/BC so BC=2DE
I went to school in the 70's and the words arc, chord, subtend are very familiar words. I'm not sure if I know any words that can substitute them. A 'regular' pyramid is a pyramid that has all the sides of the base equal and the slant height of each face is equal.
frustums are used a lot in computer graphics as the plane of the camera (screen= top of pyramid) and then how far that camera sees (far plane = base of pyramid) and removing parts of object not within the frustum that cannot be seen. Wonder what they used them for in 1876!
in secondary grade, swiss teachers also did such "questions" where they didnt actually ask a question, just said something.
i once tried to not actually fill it out, i didnt get a good grade D:
for #1 -#3 i believe they only expect a labeled diagram. your #5 def needs to mention the upper base is parallel to the lower. the prime notation for #6 means the A'B'C' is a transformation of ABC. just guessing, my math degree is from the '80's, before graphics calculators, and barely personal computers using floppy disks.
Those questions are NOT talking about the centriod of the object BUT the bisects of each side.
( I also thinking, to bisects the base as it is one side of the shape and another side to find target frustum shape )
It's crazy that I was taught about the frustum of a pyramid in 9th grade in Nigeria. I'd always assumed it was a commonly known word among scientists lmao
4:13 i've heard those words too many times!
I think you were most of the way there on #1, Toby. I think they wanted you to make two more triangles on the bottom so that their two bases are each congruent to the base on the top triangle.
Hey! I am not sure if I got it wrong but in the final problem, the first part, the lateral surface, 'h' was assumed to be Height and NOT Slant height, but in the second part, to prove its half the sum of both the perimeters multiplied by 'slant' height, it is still multiplied by the same value 'h'. Please feel free to let me know if I missed something. Was fun to see you folks do something interesting like attempting a centuries old exam paper. Cheers!
Nice video and collaboration with Physics Girl. Maybe you two could try breaking a wine glass together? 😁
And it's been a long time between drinks, so to speak - I was wondering what happened to you Toby after your last blockbuster video.
On question 5 when you added up t1+t2+t3.... those are all equal because it's a regular pyramid. The top and bottom of the frustum are squares.
This exam seems kind of based on Euclid's Elements. The 1st question immediately reminded me of some of his proofs 😅
So, for the 1st question. You would label A as the left edge, B as the right edge D as the small bottom edge and D as the big bottom edge. We know that if triangles are similar then the ratio of their edges are equal: ((1/2)A)/A = D/C => 1/2 = D/C => D = (1/2)C. You can totally use numbers and variables! I wouldn't consider a verbal proof to be sufficient lol. Not trying to diss you, I definitely enjoy your content and respect you :)
7:50 now that is called as midpoint theorem. (actually that is converse of it)
Hello! I wanted to get some advice from u about the course selection.I am thinking to do mechatronics engineering n I want to know what are your opinions about this field n how do u see it's scope in the upcoming years ? Thank you.
These questions are of M.I.T. 1856, but in present day these studied by the students of 9th standard.
Just consider it took 3 months to travel from New York to Chicago by horse or carriage. And you may die of dysentery or smallpox on the way.
Hi @Tibees, just a suggestion: use a mic filter or a sock to remove the sharp spikes in the audio. Your voice is really relaxing in most of your videos but the spikes really lowers the quality. Other than that, cute nerdy content that I will definitely want to watch more of. Thanks! :)
This shows the importance of knowing what words exactly mean. Once you have the definition of "frustum" the frustration stops and the question becomes accessible. I wish teachers and schools would pay more attention to definitions and dictionaries, also outside of MINT subjects. A textbook that uses terms before defining them is unnecessarily confusing.
I loved it ^^
Just noticed how really long tibees's hair is
I always refer to a frustum as an ingot. Makes it easier.
Hi, i really like what you do, i´m from colombia. student of mechatronic and i would like to know how you call the document you present when you aply for graduation on mit
How am I 3 years late on this one ??? If TIBEES would age after all these years then I would be able to see which is new and which is a bit late.
The first question is based on Thales theorem
To be more precise it is based on the Mid Point Theorem
@@kyusiv9026 that's what it is or you could say BASIC PROPORTIONALITY THEORM (B.P.T.)
@@blake2506 But mid point theorem is a Special Case of BPT that's why u have to mention it specifically
And Thales theorem is the original name of BPT
@@kyusiv9026 well
Best. collab . ever.