Classical mechanics Definition and 1000 Threads

Just like the Euler-Lagrange differential equation $$ \frac{\partial{\mathcal{L}}}{\partial{q}} = \frac{d}{dt}\frac{\partial{\mathcal{L}}}{\partial{\dot{q}}} $$ the hamiltonian equations $$ \frac{\partial{H}} {\partial{q}} = -\dot{p} $$ $$ \frac{\partial{H}} {\partial{p}} = \dot{q} $$ and the...

Hello folks. I am taking some courses next semester over at Wayne, one of which is a 500 level, graduate level difficulty mechanics course. It's the course typically taken at the 300 level. I was wondering if anybody knew of a great book for this course at this level. I have both Taylor and...

In Taylor's advanced text on classical mechanics, he gives an example of a non-holonomic system, I find this part very strange. He gives the example of a hard rubber ball being rolled in a triangle on a flat surface, the point is that if you take the ball out through the triangle and back to...

Guys can u suggest me some excellent books for Classical Mechanics? Thank u in advance :smile:

Hello. In Molecular Dynamics simulations, the Newton's equation of motion is used to calculate the time evolution of system. Once, I read in an introductory text that when the thermal de Broglie wavelength $$\Lambda=\frac{h}{\sqrt{2\pi mkT}}$$ is much smaller than the interparticle distance...

Hi Question 1 i was wondering if there is any method to find the point from which the angular momentum is a conserved quantity. let me e.g. choose the case of a planet moving in an orbit around the sun. In this case, the angular momentum measured from the center of mass as the point of reference...

Energy "formulation" of classical mechanics? When discussing the different formulations of classical mechanics, those that are always mentioned are Newtonian, Lagrangian and Hamiltonian mechanics. However, it is my understanding that when dealing with conservative forces in Newtonian...

Hello, so i just received a copy of introduction to classical mechanics by kleppner and kolenkow in the mail today. I was so excited unwrapping it but when i saw it i was very disspointed. it turns out the person sent me the "special indian edition". i was pretty upset and I'm thinking of...

Homework Statement This is question 3.7 from Gregory's Classical Mechanics textbook. A symmetric sphere of radius a and mass M has its center a distance b from an infinite plane containing a uniform distribution of mass ## \sigma ## per unit area. Find the gravitational force exerted on the...

Ok, so I know that law of conservation of linear momentum holds in a system in a particular direction, provided no net external force is acting in that direction. So, if we drop a ball on the Earth surface from a height much less than Earth's radius and then to analyze its momentum, we take...

Homework Statement "The shortest path between two point on a curved surface, such as the surface of a sphere is called a geodesic. To find a geodesic, one has to first set up an integral that gives the length of a path on the surface in question. This will always be similar to the integral...

A 1kg wooden block is being pressed against a wooden wall by 12N. If the block is initially at rest will it move upward, downward or remain at rest? Picture of problem is in link below along with my working out. co-effecient of static friction of wood on wood is 0.50. I have also made...

Author: John Taylor Title: Classical Mechanics Amazon Link: https://www.amazon.com/dp/189138922X/?tag=pfamazon01-20 Prerequisities: A Lower-Division mechanics course Contents: Upper-Division of undergrad

Having gone through Hailliday-Resnich mechanics, I'm looking for something a step above this. I'm taking second year mechanics next year, but I'd like to get a head start on it (considering that I move faster on my own, anyway). I'm looking at either Kleppner, or Taylor right now, but I'm...

Author: Herbert Goldstein (Author), Charles P. Poole Jr. (Author), John L. Safko (Author) Title: Classical Mechanics Amazon Link: https://www.amazon.com/dp/0201657023/?tag=pfamazon01-20 Prerequisities: Contents:

Author: V.I. Arnol'd (Author), K. Vogtmann (Translator), A. Weinstein (Translator) Title: Mathematical Methods of Classical Mechanics Amazon Link: https://www.amazon.com/dp/1441930876/?tag=pfamazon01-20 Prerequisities: Contents:

Homework Statement This problem has to do with a canonical transformation and Hamiltonian formalism. Below is my attempt at solving it, but I am not too sure about it. Please help! Let \theta be some parameter. And X_1=x_1\cos \theta-y_2\sin\theta\\ Y_1=y_1\cos \theta+x_2\sin\theta\\...

Hi everyone. I'm having a little crisis here. I'm really really good in math (I'm doing calculus right now, and it's a breeze), but classical mechanics are giving me a hard time. I'm also doing general chemistry right now and I find it fun and easy as well. Basically, the more abstract...

Hi, I'm currently a sophomore at college trying to perfect his understanding of classical mechanics. I finished Taylor's book a while ago, but now once again realized that I still don't understand mechanics all that well. So, I'm going to start from scratch. And dig deep, questioning...

Hello, Since I cannot post this in the "Learning Materials" forum, I thought I'll just post it here. I am a first year Physics/Biology major, and I am currently studying a course in classical mechanics. My problem is that I do not seem to find high level problems in mechanics anywhere online...

Homework Statement Use the result (6.41) of Problem 6.1 to prove that the geodesic (shortest path) between two given points on a sphere is a great circle. [Hint: The integrand f(ψ,ψ',θ) in (6.41) is independent of ψ, so the Euler-Lagrange equation reduces to ∂f/ψ' = c, a constant. This gives...

Homework Statement "At 310K thermal energy kT=4.28x(10^-21). Use the equation you derived above (which I worked out to be E=(n²h²)/(8mL²) )to determine under which conditions quantum mechanics reduces to classical mechanics." The hint was that "you need to find the value of mL² for which change...

I am writing to ask you for advice on how I should go about studying for the upcoming Classical Mechanics exam. I would only be satisfied to get an A, nothing less, so I am willing to work hard. Although I realize that preparing for the midterm exam begins when the semester starts, I don't feel...

Homework Statement The two components of a double star are observed to move in circles of radii r1 and r2. What is the ratio of their masses? (Hint: Write down their accelerations in terms of the angular velocity of rotation, ω.) Homework Equations Newton's 2nd law? law of...

Hi I am looking for some advice. Would like a bit of guidance into any good resources and specific maths/physics disciplines to study in relation to what I would term 'sports classical mechanics'. Not looking for any university or specific course references at the moment unless you think...

I am trying to self-study some physics, and have gotten a little stuck in one of Goldstein's derivations. The dot-notation is still confusing to me. Equation 1.51 in Goldstein states that \frac{\partial \vec{v_i}}{\partial \dot{q_j}} = \frac{\partial \vec{r_i}}{q_j} I do not understand how...

Homework Statement In Goldstein's text, he discusses conservative fields and then states that "friction or dissipative forces are never conservative since F dot ds is always positive." From what I recall, most frictional interactions occur in directions opposite the displacement, and would...

Homework Statement A particle of mass m moves in the following (repulsive) field U(x) = α/x², α > 0, with α a constant parameter. Determine the (unique) trajectory of the particle, x(t), corresponding to the initial conditions of the form x(t0) = x0 > 0, x'(t0) =...

Homework Statement Two identical, uniform and rigid cylinders, each of radius a and mass m, are laid horizontally at rest inside a rigid box of width w. There is no friction acting at any of the four contacts. i) Draw a diagram for each cylinder showing the forces acting on it alone...

Please tell me a website where I can find latest research papers in classical mechanics.

I want a good book on classical mechanics - one that would be considered to be a graduate level text. The only Physics courses I have taken are the two standard intro physics courses taught at what seems to be every university, and a course in Computational Physics. My (relevant) math...

Homework Statement See attachment "question" Homework Equations The Attempt at a Solution See attachment "work" I did the work for (1) and (2). I end up with two equations: the first is the tension T, the second is the angular acceleration. I'm not so sure if I made any...

hi i am a bit confused watching lectures and reeding books i quite often come across dx/dt and i don't know what the "d" is. the full equation is F=ma which was rewritable as F=m*dx/dt many thanks for any help

So I've ordered Taylor's book in classical mechanics and I need some advice. My plan is to solve as many problems as I can in classical mechanics, since it seems that the type of logical thinking that is needed in classical mechanics will surface time and time again in following physics...

I was reading the Wikipedia article on Electron magnetic dipole moments and it mentioned that the "g-factor" is need in determining the magnetic moment of an electron because it varies by approximately two from the prediction of classical mechanics. Why exactly does this discrepancy occur?

Find the orbits for the m mass under the F(r)=-A/r^2+B/r^3 . Where A>0 and B is positive or negative. Friends, please help me for homework

This summer I plan to self study quite a bit and want to learn as much as I can. I'm an EE major and have taken Calc 1-3, and DiffyQ/Linear algebra as well as intro physics classes. I will be taking classical mechanics in Spring 2013 but wanted to dive into Griffiths E&M book this summer. Is...

Ok, so I feel really bummed out even having to ask this question, but in all seriousness: I have a classical mechanics final in 11 hours. It's upper division CM not like first year stuff. Anyway, I'm decently prepared. I mean, if I take it now I will certainly pass. But I want the best...

Homework Statement A disc of mass M, which may be considered to be a point mass, is placed on a frictionless horizontal table. A massless string is fastened to the disc and is passed through a small hole at the centre of the table. The lower end of the string is tied to the end of a flexible...

Homework Statement An airplane touches down at a speed of 100m/s. It travels 1000 metres along the runway while deceleration at a constant rate before coming to rest. How long did it take the airplane to come to rest on the runway? Xi=0m/s Xf=1000m Vix=100m/s Homework Equations...

My professor for classical mechanics has asked that we find some difficult problems in classical and solve them. My first thought was to look through my book for hard problems. However, we are using a free PDF that is rather lackluster when it comes to homework problems. Almost all of the...

Hi! I am looking for suitable ways to learn mechanics in mathematician's perspective. I went through: - multivariable calculus from Spivak, - real analysis from Pugh, - differential equations from Hirsh/Smale/Devaney (mostly focusing on linear system, existence & uniqueness, nonlinear...

I need a good book, or in other words a book and it's solution manual if available on line - in classical physics. Some Lagrange, Hamiltonian exercises, with good explanation. Thanks in advance.

Hi folks. I'm wondering who does a good job of explaining this limit, preferably with a good set of examples. It doesn't need to be too basic, but it'd be nice if it went through the phase space stuff a little (I get the impression that my grad prof didn't do a great job with some details based...

Hey, http://img822.imageshack.us/img822/407/25944209.jpg \begin{align} & \frac{m{{v}^{2}}}{r}=\frac{Z{{e}^{2}}}{4\pi {{\varepsilon }_{0}}{{r}^{2}}} \\ & L=\frac{Z{{e}^{2}}}{4\pi {{\varepsilon }_{0}}v} \\ \end{align} and I know by using the v derived using Bohr's equations it will give...

I hope this is in the right sub forum, but my question is simple. What type of mindset is required to complete problems in a 2nd year classical mechanics course. Comparing a typical classical mechanics problem to a 1st year physics problem, they are both completely different. I find that a...

Is classical mechanics deterministic? If so, please explain this. Suppose we collide two bodies with each other. Assuming they are point particles and using conservation of energy and momentum this gives us a set of equations. Unfortunately these aren't enough to predict their...

Homework Statement Greetings! This is an example problem at the end of Chapter 1 in Mechanics (Landau): A simple pendulum of mass m whose point of support oscillates horizontally in the plane of motion of the pendulum according to the law x=acos(\gamma t) . Find the Lagrangian...

I'm on pg 56 of Thorton's Classical Dynamics book and I see this: Imgur Link Two questions: 1) Where does the 2 go on the second to last equation. 2) Why v0^2 and not v0 on the integral?

Here's a classical mechanics problem I'm having some trouble with: A particle of mass m moves on the positive x-axis under the influence of a force F=-K/x^2, where K is a positive constant. The particle is released from rest at x=R at time 0. Find the velocity as a function of x as it...