After a few seconds of knocking on the door by little Newton, a male voice came from inside the room, and the owner of the voice was Hooke:
"Come in."
Seeing this, little Newton took a deep breath and pushed the door open with Xu Yun.
The guest room where Hooke lived had a one-bedroom and one-living room layout, which in the future would be considered a suite by most hotels and would be very expensive, but in the 17th century, it was a standard configuration.
At this time, the bedroom door had already been closed, and Hooke was sitting at the desk in the living room facing the door, smoking a pipe in one hand and seemingly flipping through books with the other.
Seeing little Newton and Xu Yun appear, he did not get up to greet them, but leaned back comfortably in his chair:
"Newton, it's only been... oh, four days, right? Why did you come to me so soon? Couldn't you reach Barrow? Or... did you solve that problem?"
Hooke's last sentence carried an obvious sarcastic tone, looking down on them with deep eyes.
In his opinion, the purpose of little Newton's visit must be to inform him that he couldn't contact Barrow:
Four days were obviously not enough for a letter to be exchanged, and if Barrow was in the Lincolnshire area, he would definitely come with little Newton to find him today.
He knew Barrow quite well. Although he couldn't figure out the problem, he wouldn't let his student take the blame.
Therefore, there was only one possibility at the moment:
After searching at home, little Newton found that he had lost his teacher's contact address, or was informed that the mailing of letters was temporarily suspended due to the epidemic, and could only reluctantly come to inform him in person.
At the same time, this action also indicated another point:
He tried to solve this problem, but failed.
As for the possibility of little Newton solving this problem...
He would rather believe that someone deduced the specific formula for universal gravitation while he was still alive, rather than believe that a young person could solve his problem.
Even if he was the first sizar in Trinity College in fifteen years, it was absolutely impossible!
While Hooke was thinking about how to mock little Newton in his heart, he suddenly heard little Newton's voice with a hint of inexplicable meaning:
"Yes, Mr. Hooke, I solved this problem."
"I know, it's really difficult for someone like you... Wait, what?!"
Hooke was originally prepared to continue mocking, but as he spoke, he suddenly realized that something was wrong. His smile froze on his face, and he stood there dumbfounded.
He stared blankly for more than ten seconds before suddenly sitting up straight from the chair, staring at little Newton:
"What did you just say?"
Little Newton shrugged and took out a prepared manuscript from his body, handing it to him:
"The solution is here, provided that you can understand it, Mr. Hooke."
"Nonsense, this is impossible!"
Hooke cursed, without any grace, snatching the manuscript from little Newton and spreading it out on the table, reading it like this:
"Specific vibration frequencies correspond to specific curves... Take the derivative of the coordinates..."
"The strain formula Σa=(Σx+Σy)+(Σx-Σy)cos2α+yxcos2α... Brilliant, brilliant..."
"d(△l)=εxdxcosα+εydysinα-γxydxsinα...
εα=d(△l)/ds
=(εx+εy)/2+{(εx-εy)/2}cos2α-{(γxy)/2}sin2α..." (Someone asked me what the equation content is, this time I wrote it out)
"Horizontal displacement S=ε1, then... Huh?"
As he calculated, Hooke's pen suddenly stopped at a certain position.
He drew a horizontal line under "→0" and asked little Newton:
"What does this mean?"
Knowing that it involved the core problem he was currently studying, little Newton naturally wouldn't reveal it casually—despite his short temper, he was actually quite cunning. Hooke had been tricked when deducing universal gravitation.
So little Newton casually hummed:
"It's just an abbreviation for approaching, which can be seen as a decreasing trend of -1 factorial.
Mr. Hooke, you can draw a stress distribution curve on the central height line. The three stress fields converge at a position twice the distance from the load boundary."
Little Newton's tone seemed relaxed, with a hint of "those who understand, understand".
But in fact, this sentence contained a lot of key information—especially the second half.
This sentence actually involved the content of Saint-Venant's theorem, which was a fundamental theorem proposed by the Gaul scientist Saint-Venant in 1855, almost 200 years from now.
But after being processed by Xu Yun, it became the work of the all-around genius Han Li.
Saint-Venant used a lot of basic concepts of infinitesimal when deducing the application of zero-force systems and strain energy density problems, so there was a very subtle equivalent recursion between the two sides, which could be used to explain the concept of infinitesimal.
Anyway, before the generalized Hooke's law was proposed, no one knew what an equivalent force system was.
It was fine to simply attribute the stress field convergence to a positional phenomenon—although little Newton claiming to have created a new mathematical tool might attract some hatred, explaining the observation of a phenomenon that followed certain rules in an experiment, even Hooke wouldn't say anything.
Of course.
This also had to do with Hooke's problem only involving the second-order Taylor expansion.
Apart from some calculations, most of the cases did not require the use of calculus as a mathematical tool, only the interpretation of concepts.
Therefore, after little Newton covered up the true meaning of infinitesimal quantities 200 years in advance, Hooke quickly deduced a brand new result:"Under the condition that ρx and ρy remain constant, is this an elastic force within a logical framework? Wait, that's not right!"
It can be hard to make great work when its stolen from "p𝑎wread.com".
While calculating, Hooke suddenly raised his head:
"What about the stress-strain relationship? How to derive the linear strain of the medium occupying space?"
Looking at Hooke, who seemed to be going crazy as if he had seen the author's unfinished chapter, Little Newton shrugged at him innocently:
"I'm sorry, Mr. Hooke, Professor Barrow only taught me this much.
If you want to know more, you can wait until the pandemic is over and personally visit Trinity College for some guidance.
Given the professor's character, I'm sure he would patiently answer your questions."
"You're daydreaming!"
As soon as Little Newton finished speaking, Hooke abruptly stood up, his face looking extremely frightening in the dim light:
"Ask him for guidance? Wait till the end of the world!
Little thief, don't think you're so great just because you've solved this little problem. One day you'll regret it!
Regret being Barrow's student! Regret saying what you said today!"
Xu Yun, who was standing by, looked at the helpless and furious Hooke and shook his head slightly:
It's a good thing this is reality. If this were a game and he sent a question mark at this point, Hooke would probably smash his computer in frustration...
Next to Xu Yun, Little Newton, who was unusually calm, made a dismissive face:
"Mr. Hooke, you can think whatever you want. I won't bother you anymore. Please, feel free."
After saying this, he took Xu Yun and left the room.
As they reached the door, Little Newton 'suddenly' seemed to remember something, exaggeratedly exclaimed, and said to Xu Yun:
"Fat Fish, do you know where Professor Barrow is now?"
After spending a few days together, Xu Yun had some understanding of this grandmaster, so although he didn't understand why he brought this up, he still cooperated and said:
"I don't know."
"Ah, that's just how the professor is, likes to run around. But with his wife by his side, he must be very happy..."
"His wife?"
"Yeah, didn't you know? His wife's name is Ilo Brice, a real beauty. She was a well-known top student at Oxford University. But one year, during an exchange match between Cambridge and Oxford, she met the professor and was reversed by him in a three-game series. Since then, she started to chase after the professor..."
Before Little Newton could finish his words, a sound of something heavy falling and a defensive cry with a hint of sobbing came from the room behind them...
"Get out!!!!!!"
................
Note:
What is actually being derived here is the generalized Hooke's law. The generalized Hooke's law in three dimensions is three equations, and f=k·x cannot be directly derived.
Historically, Barrow did not solve this problem and was forced into a miserable situation...
From today to Tuesday are the three days of life and death, begging for follow-up reading!!!
The previous book once updated 25,000 words within 35 hours, after being listed, it will definitely explode, everyone must follow up!!!