Classical mechanics Definition and 1000 Threads

Homework Statement Hello, i have the following task, which should actually not be too hard, but for for some reason i cannot figure out the answer. Consider an Object with 1 kg mass in 3D space with coordinates \vec r = [x(t), y(t), z(t)]. Like Shown in the attachment, z:= e^{ax} and...

http://i.imgur.com/GP6QorG.jpg I don't follow the integration in it. I'm assuming Fx(x,0) and Fy(1,y) are the partial derivatives of F with respect to x and y, respectively, but given that, I can't seem to get my head around the result where the partial with respect to x is Fx = (x, 0) instead...

The only force really considered in classical mechanics is gravity. And yet, we often have problems involving collisions and friction, which are intrinsically electrical phenomena, and thus outside the scope of classical mechanics. We have laws such as conservation of momentum which is used for...

Hello everyone, I have to choose a book for classical mechanics. After reading a lot through the forum, I find that the book by A.P French and the one by Kleppner is a good buy for my undergraduate course in classical mechanics. Also, is the book by Mary Boas for Mathematical methods a good...

How does one think about, and apply, in the classical mechanical Hamiltonian formalism? From the Lagrangian perspective, Noether's theorem (in 1-D) states that the quantity \sum_{i=1}^n \frac{\partial \mathcal{L}}{\partial ( \frac{d y_i}{dx})} \frac{\partial y_i^*}{\partial \varepsilon} -...

Hi all, So basically I would like to know if it's possible. I'm a first year undergrad and I did classical mechanics first semester but I didn't do that well in it. So I'm not sure if I need to use my holidays to catch up with it before we do Electromagnetism during second semester. I would...

I have taken a look at Kleppner and Kolenkow and that seems around the right level of difficulty but I was wondering if there were any other books that worked well alongside the Walter Lewin lectures on OCW. Would K&K? Also, where does K&K go up to? Does it include all undergraduate...

I'm studying classical mechanics and I'm stumbling in the quantity of differential identities. Being S the action, H the hamiltonian, L the lagrangian, T the kinetic energy and V the potential energy, following the relationships: But, the big question is: that's all? Or has exist more...

Homework Statement Two cylinders, that can rotate around their vertical axis, are connected with a spring as shown in the picture. Moment of inertia ##J## is the same for both and they also have the same radius ##R##. Distance between the axes is ##L##. Spring with constant ##k## is ##d## long...

I'm thinking about being a physics major with a double major in Earth Science. At my college Classical Mechanics is a required course for a physics major, whereas General Physics is required for the Earth Science major. There is an option at my school to take General Physics instead of Classical...

I currently have Classical Mechanics by Douglas Gregory. I found that there are a lot of errors in his text mostly in Chapter 6 (Energy Conservation). Before I read some parts of Classical Mechanics by John Taylor but felt that he is too verbose that is why I have tried to scan other text. Any...

Homework Statement I'm working (self-study) through Goldstein et al, Classical Mechanics, 3rd Edition, and I'm currently stuck on Problem 8.11: A particle is confined to a one-dimensional box. The ends of the box (let these be at \pm l(t)) move slowly towards the middle. By slowly we mean...

Homework Statement Around vertical axis ##O## a body on picture below (see attachment) is being rotated with constant angular velocity ##\Omega ##. On the circle we have a body with mass ##m##, that can feels no friction. Find position of that body as function of ##\phi ## and time. Calculate...

Ayo everybody, I'm doing a problem about theory of small oscilatons (see pic) and I got the following for potential energy: V= mg(\frac{l_{2}}{2} +\frac{l_{1}}{2} \theta^{2}_{1} + \frac{l_{2}}{4} \theta^{2}_{2}) (after the aproximation cos \theta ~ 1 - \frac{\theta^{2}}{2} Knowing that V...

Hi all, I'm a first year undergrad and I'm currently struggling with Physics. I aced high school physics (A-levels) but for my first class test at uni, I got a 50% and now I'm not sure if I'll be able to make this to 90%+ during the second class test (in exactly a month from now). We are...

The time has come to schedule for next semester's classes. I will be a senior in physics and choosing some electives. I am trying to decide between taking matrix theory (linear algebra) or graduate level classical mechanics. I really WANT to take the mechanics course but I feel that maybe I...

Homework Statement A particle of mass m moves under an attractive central force of Kr^4 with an angular momentum L. For what energy will the motion be circular? Find the frequency of the radial oscillations if the particle is given a small radial impulse. Homework Equations...

Homework Statement Determine possible trajectories for particle with constant magnitude of velocity |\dot{\vec{r}}| = v0 and constant angular momentum \vec{L} = \vec{L}0 Homework Equations |\dot{\vec{r}}| = v0 \vec{L} = \vec{L}0The Attempt at a Solution I know that L dot is zero and...

First-Order Extrema in "Classical Mechanics", Theoretical Minimum In the 3rd lecture of Classical Mechanics, 2011, by Dr. Susskind in his Theoretical Minimum series, he talks about calculating extrema, saddle points, etc. to "first order". "if you move a little bit, the potential is zero, to...

I am studying for the mechanics modules of A level mathematics under EdExcel.So far the books seemingly published to support the specifications aren't doing a very good job.The examples in the books don't tell the students how to solve problems in the exercises, which is a sheer let down.I want...

I just took Physics I last semester, but I still feel there is so much more to learn about classical mechanics. I could work on 100 different problems involving binary stars, rockets, or rotating objects - but then a slight twist is thrown in on the problems, then something new to have to...

From (Marion 5th ed. Problem 9-15) A smooth rope is placed above a hole in a table. One end of the rope falls through the hole at t = 0, pulling steadily on the remainder of the rope. Find the velocity and acceleration of the rope as a function of the distance to the end of the rope x...

I was recommended this by a friend. I'm going to get K&K but I was wondering what you thought of this book if you have read it. Is it good for beginners? Comprehensive? General comments? Thank you, Tridian

John Taylor "Classical Mechanics" Chapter 5, Problem 29 Homework Statement An undamped oscillator has period t(0)=1 second. When weak damping is added, it is found that the amplitude of oscillation drops by 50 percent in one period r1. (the period of the damped oscillations defined as time...

Homework Statement A massless wire hoop of radius R is rotating in a horizontal plane about its central point with constant velocity ω. There is a tube of negligible mass pinned across the hoop on a line passing through the central point. Inside this tube is a spring of negligible mass with...

Wheres the limit between quantum mechanics and classical mechanics. I mean,when can I expect quantum behavior on a system, is it depends on the system size?Tempature? Something else...and if so what are the numbera for those limits. As we know in nature everything is continuous, so, the...

Homework Statement a particle of mass m moves on the orbit r= a cos(θ), a>0. Find the force acting on the particleThe Attempt at a Solution I had this formula in my notebook:U(r)= E-(L^2/2mr^2)(1+(1/r^2)(dr/dθ)^2) Using it I got U(r)=E-L^2a^2/2mr^4 and F(r)=-dU/dr= (-5L^2a^2/2mr^5)...

John Taylor "Classical Mechanics" Chapter 3, Problem 7 1. Homework Statement [/b] The first couple of minutes of the launch of a space shuttle can be described very roughly as follows: The initial mass is 2x10^6kg, the final mass (after 2 min) is about 1x10^6 kg, the average exhaust speed is...

Why is it that in the damped simple harmonic equation, the force constant can take on all values, but the force constant corresponding to the classical harmonic oscillator potential in the Schrodinger equation can only take on discrete eigenvalues?

Hey all, suppose there's a particle with Potential Energy : U(x) = A*[ x^(-2) - x^(-1) ] , where A is a constant. I'm supposed to find the energy required to make the particle go from periodic movement to unlimited movement. First thing I did was U '(x) = 0 to find the balance points, now...

What type of physicist works in the field of Classical Mechanics? And yes, this does encompass the general theory of relativity.

Homework Statement If anyone could help me with this classical mechanics exercise I would be very grateful! The exercise is as follows: The muon (μ) is a particle with mass mμ=207me, with me being the electron mass. The pion (∏) has a mass of m∏=273me. The pion can decay into a muon...

Am I "ready" for Classical Mechanics? Hello again, PF. I have a question about the Classical Mechanics course I'm taking this coming fall. Thanks to having a few cruddy enrollment times in the past year, I've been taking my courses a bit out of order, but without any problems or conflicts...

Homework Statement Problem 27 Experiment needed first: The hallmark of inertial ref. frames is that any object subject to 0 net force travels in straight line at a constant speed. Consider the following experiment: I am standing on the ground (which we shall take to be an inertial frame)...

Homework Statement The two vectors a and b lie in the xy plane and make angles (alpha and beta) with the x axis. a. by evaluating a dot b in two ways prove the well known trig identity cos(alpha-beta)=cosalphacosbeta +sinalphasinbeta Homework Equations adotb=abcostheta=axbx+ayby The...

John Taylor "Classical Mechanics" Chapter 3, Problem 1 Homework Statement Consider a gun of mass M (when unloaded) that fires a shell of mass m with muzzle speed v. (shell's speed relative to gun is v). Assuming gun is completely free to recoil (no ext. forces on gun or shell), use...

My graduate course (2 sem) follows Goldstein (All chapters ). Can anyone suggest me a book with solved problems on such advanced topics?

Homework Statement Consider the classical system of a mass of one kg attacked to the ceiling with a spring constant k=50N/m. The mass is held at rest such that the spring hangs vertically but is not extended. The mass is then released and falls under gravity. Neglect air resistance. 1...

My requirements are : - Text should be at an undergrad level (I will be starting my 2nd year soon). - Should contain a large number of solved examples, but not many questions (I would like the questions to be of good quality though, so that I don't have to choose which questions to...

There is an article I am reading, http://authors.library.caltech.edu/38643/1/PhysRevLett.110.174301.pdf I don't quite understand a lot of where this guy is coming from. I do not have much background in Lagrangian and Hamiltonian formulations, but it is vital that I can formulate some sort...

I was just wondering, what book would you suggest for me as a undergrad student going into 1st year at university. I will be completing an honours in math and physics, and I just want some material to self-learn over the summer and to keep myself occupied. My prior physics knowledge includes...

Are there any unanswered questions in classical mechanics? By unanswered I mean unanswered and attempted. I could easily think of a question which has never been asked. Edit: Sorry about the misspelled thread title.

Homework Statement A student kicks a frictionless puck with initial speed ## v_0 ## so that it slides straight up a plane that is inclined at an angle ## \theta ## above the horizontal. Write down Newton's second law for the puck and solve it to give it's position as a function of time How...

what are the differences? Every example I find usually has a derivative or integral or some kind of calculus defined concept that seems to make it easier or more understandable

I'm reading Classical Mechanics (Taylor), and the 6th chapter is a basic introduction to calculus of variations. I'm super confused :confused: I've tried to go to other sources for an explanation, but they just make it even worse! So, let me see if I can get some help here...

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...