classical-mechanics

I know that for conservative forces $$\vec{F}=-\nabla{U}.$$ Let's consider the case of gravitational potential energy, I know that $U=mgy$ . Just to check: $$\vec{F}=-\nabla{U}=(0,-mg)$$ perfect! Now, let's suppose that the body is only allowed to move on the line $y=x$ . The potential energy is as before $U=mgy$ , but now I could also write it as $U=mgx$ . Then I want the force, let's use the se…

Some physics textbook writer told me that Newton's first law applies only on bodies that feel no interactions at all. He said that if a body is on rest or moves in constant velocity, there is no external force acting on it. But I have heard another form of the law that says the net force acting... Read more

Here I described constraint — Holonomic, noholonomic, least squares principal. I solved 15 problem. lagrangian classical mechanics. lagrangian methods. lagrangian method example. lagrangian method optimization. lagrangian mechanics example. lagrangian mechanics pdf. classical mechanics lagrangian. the lagrangian method. lagrangian mechanics derivation. lagrange method dynamics. euler-lagrange equ…

Problem Statement A particle of mass m moving with velocity v 1 leaves a half-space in which its potential energy is a constant U 1 and enters another in which its potential energy is a different constant U 2. Determine the change in the direction of motion of the... Read more

euok124 - 5 - 1 Im 1st year engineering student (ECE) but im interested in self studying physics. I want to self study taylor classical mechanics this summer preferably including analytic mechanics chapters but i want to know if my math is enough for it. By the end of this year i will have: Partial derivatives. Taylor series. L'hopital. eigenvalues and eigenvectors. Techniques of integration. Def…

In 1687, Sir Isaac Newton published Philosophiæ Naturalis Principia Mathematica , or the Principia , marking a turning point in scientific thought. This monumental work introduced Newton’s three Laws of Motion, which became the foundation of classical mechanics and reshaped our understanding of the physical universe. Newton's First Law, or the Law of Inertia, states that an object will remain at …

Sir Isaac Newton, President of the Royal Society, was an English mathematician, physicist, astronomer, alchemist, and natural philosopher, widely regarded as one of the greatest scientists in history. Born on December 25, 1642, Newton's contributions laid the foundations of classical mechanics and transformed scientific understanding during the Enlightenment. Newton's seminal work, Philosophiae N…

If you missed my previous physics questions to ChatGPT, check them out here and here. In this particular case, I asked ChatGPT a rather common question, and ended up having an argument with it. My questions are in red while ChatGPT's responses are in blue. Three projectiles of the same mass are launched from the top of a cliff with the same initial speed. The first projectile is launched at an an…

Classical mechanics describes everything around us from cars and planes even to...