Newtonian Definition and 337 Threads

Homework Statement Ugh, rusty on my Newtonian Mechanics and need to refresh. I picked out this problem in my book: Two boxes are on a 30 60 90 triangle. Box 1 is on the 60degree side and Box 2 on the 30degree side. The ramp has two different coefficient of static friction: u1 (for box 1)...

The spacetime model of Newtonian mechanics is a fiber bundle with a one-dimensional base space (=time) and a 3-dimensional fiber (=space). On the tangent bundle of the spacetime a curvature-free connection is given. Newton's 1st law states that free pointlike particles move on geodesics...

Before I begin, let me say this is my first time on this forum, and am terribly sorry if I screw something up here. Let me also say that my physics lab is ahead of my physics class, so my knowledge on angular momentum is lacking. Also, this lab is due tomorrow. I know it's short notice, but I...

Homework Statement http://img399.imageshack.us/img399/4277/cartyf8.jpg http://g.imageshack.us/img399/cartyf8.jpg/1/ Homework Equations Euler's Method, Runge Kutta 4th Order Method The Attempt at a Solution I have solved the motion equation for the above question using Euler's Method and...

Homework Statement Im doing a philosophy, history and politics of science subject and the question is whether gravity was waiting to be discovered or was it an intellectual construct particular to the 17th century and Newton. Homework Equations The Attempt at a Solution I'm...

The Newtonian limit for general relativity exists only for the asymptotically flat spacetimes. FRW case definitely not asymptotically flat. SO the Newtonian limit should not exist for it. However we have Newtonian theory of cosmology in homogeneous and isotropic universe. So my question is...

This Brownstein/Moffat paper (arXiv:astro-ph/0702146v3, 13 Sep 2007)) looks interesting to me but it's too deep for me to really understand. The gist of it seems to be: ===quote=== The alternative to the dark matter paradigm is to modify the Newtonian 1/r2 gravitational force law so that the...

Homework Statement In a lab frame of reference, an observer finds Newtons second law is valid in the form of Fnet=ma. Show that Newtons second law is not valid in a reference frame moving past the laboratory frame of problem 1 with a constant acceleration a1. assume that mass is an invariant...

Hello, this question is about lift in fixed wing flight (airplanes). Is it possible to calculate separately the lift generated by: - Newton's laws (wings deflecting air particles) - Bernoulli effect (difference in air pressure above and below the wings caused by the shape of the...

Consider two point mass particles m1 m2 (with m1 different from m2) initially stationary relative to each other a distance x apart . The only force acting on them is attractive Newtonian gravity, i.e. Gm1m2/x^2 acting equally in opposite directions along the line of separation between the...

Is it correct to say that the core idea of energy as the ablity to do work is the same for Newtionian Physics and Relativity?

hi, i am interested in finding a website which has lots of questions (and solutions) on Newtonian mechanics to test my knowledge. things i had in mind include applications of F=ma,inclined planes, tension on ropes,springs etc. thanks

1. How would a general relativist explain why an object falls towards the earth? 2. Is it correct to say that it is not the apple that falls towards the Earth but it is the Earth that accelerates towards the apple? Why is this ok to say?

Homework Statement I have a paper due Friday in ap Physics and i can't seem to find anything on the subject that doesn't involve reading an entire textbook. Ok so we first must compare/contrast Newtonian & Einstein Physics, then explain their contributions to Quantum mechanics. The...

Before I inundate you with various elementary problems I'm facing, I need help with the concept. Fgrav=(GMm)/(r^2) So Fgrav is in units of Newtons, correct? How would one convert that to m/s?

Homework Statement The problem is: Consider a tunnel that connects any two points A and B on the spherical Earth (assuming constant density). The tunnel is a vacuum, and the train traveling through the tunnel is traveling on a frictionless track with no engine (i.e. it is just falling through...

1. How would a general relativist explain why an object falls towards the earth? 2. Is it correct to say that it is not the apple that falls towards the Earth but it is the Earth that accelerates towards the apple? Why is this ok to say? Is it because, in GR, there are no preferred...

Hey I was just wondering what the differences between the three forms of mechanics were. I've only studied basic Newtonian mechanics so I'm not really sure about the other two. Could anyone elaborate?

Homework Statement The speed of a particle of mass [m] varies with the distance[x] as v(x)=ax^(-n). Assume v(x=0)=0 at t=0. a)Find the force F(x) responsible b)Determine x(t) c)Determine F(t) Homework Equations The Attempt at a Solution My solution to part a is F(x)=-ma^2nx^(-2n-1)...

Hello! Would you say that the following text is true from beginning to end?: ----------------------- Basically, there are two mechanical approaches to describe a particle: (a) the variational principles (e.g., the Lagrangian and Hamiltonian ones) and (b) the Newtonian approach. The former...

What books would you recommend as good books for learning theory of physics. My focus is on Newtonian mechanics. Any other books with good problems to solve will also be nice. As of now I have the feynmann lectures on physics in PDF format which I printed. Very nice although I'd like a little...

The Newtonian gravity limit of GR is represented by a perturbation to Minkowski metric: ds^2 = - (1+ 2\Phi(x,y,z,t)) dt^2 + (1-2 \Phi(x,y,z,t))(dx^2 + dy^2 + dz^2) The geodesic equations of this metric correctly reproduce the Newtonian equations for acceleration of a test particle in...

I've only just completed high school, but I have a decent grasp on basic undergrad maths/physics. After hours and hours of paper and mental calculations, I still can't see a way of solving Newton's law of gravitation for the path of a body given inital position/velocity i.e. the second order...

Is there an article about the Newtonian limit of LCDM? The LCDM vacuum is deSitter not Minkowski and they have to expand around that so I think nonzero cosmological constant will make a difference. Give references if you know anything.

According to the official textbook version, the coefficient of proportionality k in the Einstein equation: R_{\mu\nu} - \frac{R}{2} \, g_{\mu \nu} = k \, T_{\mu \nu} is fixed by requiring the equation boils down to Poisson equation for some kind of self gravitating fluid: \nabla^2...

I need some help with this hwk! Please someone help me...:confused: A certain spring is found not to obey Hook’s law; it exerts a restoring force if it is stretched or compressed, where α = 60.0 N / m and β = 18.0 N / m2. The mass of the spring is negligible. (a) Calculate...

Homework Statement For very low rates of acceleration, Newton's 2nd law has to be modified where F<vector>=m*f(a/a0)*a<vector>. For "small" values of a<vector>, f(a/a0) = a/a0. Determine the component equations of motion for the case of f(a/a0) = a/a0 in polar coordinates (don't try to solve...

Hi, I was wondering, which spacetime model do you prefer for Newtonian dynamics? VI Arnold constructs it on an affine space \mathbb{A}^4 with an Euclidean space \mathbb{E}^3 defined on each time cross-section. The construction of time is somewhat cumbersome, involving defining \mathbb{R}^4 to...

how would you describe Newtonian gravity as a vector field?

Okay, I'm sort of confused about forces and acceleration here. Does any force cause an acceleration? What if the force is constant? So does it depend on the situation of the applied force to see if the object accelerates? For example, if you apply a constant force on an object at rest, then the...

Can anybody write me how to show the similarities in the Poiseuille law and the Newtonian viscousity force?

Could anyone explain me and comment the Newtonian viscosity equaton?

1. How would a general relativist explain why an object falls towards the earth? 2. Is it correct to say that it is not the apple that falls towards the Earth but it is the Earth that accelerates towards the apple? Why is this ok to say? Is it because, in GR, there are no preferred reference...

i am a physics enthusiast studying general relativity on my own with the book: "Exploring Black Holes: Introduction to General Relativity" by Edwin F. Taylor and John Archibald Wheeler. I am having the hardest time with the fourth chapter of the book and especially the 4th question in that...

Basic postulate of GR is that locally spacetime looks flat i.e. any metric can be reduced to a local inertial metric at a point. The local inertial metric is exactly the flat Minkowski metric AT the point, and has zero derivatives AT the point but those are not true away from the point. Then...

I am involved in a discussion about non-locality in QM. I'm arguing that it is possible for a local mechanism to emulate a non-local one and the best example I could find is gravity (the apparently non-local force required by Newtonian gravity being explained by a local mechanism in GR). My...

Hello, Say you have a frictionless setting. In this setting are two skateboards. One has a waterwheel (or any wheel with fins) propped up on beams so that it is on the skateboard and can freely turn. On the other skateboard is a person standing on it. If the skateboards are one behind the...

The Newtonian theory is strictly speaking false and it has been superseded by the theory of relativity. However, it is more simple and easier to apply than the theory of relativity. Also, in some situations, the results do not differ significantly. The question is: is the Newtonian theory still...

third law is equal and opposite reaction . . . the first law is inertia of mass. From everything I can remember reading, people often talk about the mystery of inertia in bodies . . . well, i finally got around to thinking about this stuff(admittedly), and it seems to me that the first law is...

Homework Statement Last part of MTW Gravitation exercise 23.7: Calculate in Newtonian theory the energy one would gain from gravity if one were to construct a star by adding one spherical shell of matter on top of another, working from the inside outward. Use Laplace's equation d(r^2 (d...

Homework Statement I need to derive the Compton scattering formula using Newtonian mechanics, I have it done in relativistic mechanics but can't get the Newtonian version. Homework Equations the solution to the relativistic equation is 1=mc^2(1/E2-1/E1)+cos(theta) for Newtonian...

Any one recommend some good books about Newtonian maths, his theories etc, Calculus, Liebnitz ,whatever, or any entry level calculus books? I'm asking on behalf of a friend who wants to get back into maths, so it should be from an introductory level and up? I learned mine from textbooks, that...

Homework Statement Figure shows the cylindrical skater, http://hk.geocities.com/puipui_queen/cylinder_skater.jpg as she spins,she may be modeled as a homogeneous cylinder of raduis R, height h, and density p, with outstretched arms. The arms are cylinders as welll, also of density p...

I'm just wondering... how would this work out? What would happen, for example, if an object goes past the event horizon of a black hole in a Newtonian universe? Or is this where Newtonian mechanics breaks down and we need General Relativity to explain it? (P.S. I am a high school student with...

I'd like to understand how to calculate the components of Newtonian tidal accelaration tensor in polar coordinates. Is any available Internet source which clearly explains the technique with details? Reading James B. Hartle "Gravity" textbook I stumbled on the following Example from...

Three weeks ago I have constructed this apparent paradox inside the Newtonian world. http://critticall.com/alog/Antinomy_inside_mechanics.pdf" Am I wrong or not? What's your say? - Thomas

I'm trying to derive Friedmann's equation for cosmology using Newtonian physics. I've got the force equation F=ma for the case without a cosmological constant. But now I'm trying to incorporate the cosmological constant into this force equation. But I'm having trouble seeing how the...

"Two boxes, m1=1.0 kg witha coefficient of kinetic friction of 0.10 amd m2=2.0 kg with a coefficient of 0.20, are placed on a plane inclined at 30 degrees. (a) What acceleration does each box experience? (b) If a taut string is connecting the boxes with m2 farther down the slope, what is the...

Hi, I was wondering, how would one formulate Newtonian Mechanics as a rigorous mathematical model? Would one take force to be an external quantity defined by various force laws (Coulomb, UG) and accept Newton's Second Law of Motion as an axiom (and first law as a definition of inertial...

I'm basically reading on how the velocity profile is found for a laminar flow of a Newtonian fluid down an inclined plane surface. (x is along the incline, y is perpendicular to the incline) The assumptions being made are - The fluid is Newtonian - It's laminar - It's fully developed - It's...