Classical mechanics refers to the classical (i.e., non-relativistic, non-quantum) study of physics. Three major formulations of classical mechanics are newtonian mechanics, lagrangian mechanics, and hamiltonian mechanics. The latter two are rather useful in extensions to Classical Mechanics; ...

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Textbooks to teach myself physics [duplicate]

I'm currently studying mathematics in Switzerland and only have a couple hours of General Physics a week. I would like to teach myself physics at a more advanced level but I don't know what textbooks ...
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66 views

Graduate level orbital mechanics book

I recently finished an undergraduate course in classical mechanics and really enjoyed the subject, particularly the sections regarding the mechanics of orbits. I am considering pursuing a graduate ...
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37 views

Action for solution of general nth order differential equation [duplicate]

Suppose I want to find solution to a general nth order differential equation. (If I am right about the logic then) one might say that the solution $y\equiv y(x)$ is that function for which the ...
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36 views

How can you translate and rotate a inertial reference frame to a reference frame on the earths surface?

Suppose I have a fixed coordinate system $\mathcal C_1=(x'',y'',z'')$ with origin at the earths center. How can I translate/rotate that coordinate system into a tilted moving coordinate system on the ...
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2answers
36 views

Effect of a cushion on the average force felt

I had a question about how a sitting on a cushioned surface, like on a couch etc. affects the average force felt by a person vs. sitting on a hard surface. I understand that stopping an object using a ...
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2answers
62 views

Rotation of a system of two masses [closed]

A uniform disc of mass M and radius R is suspended vertically by a pivot at its periphery. A particle of mass M is fixed to the rim and raised to the highest point above its center. The system is ...
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2answers
94 views

How will hovercraft work on Mars?

The facts are: On Mars atmosphere pressure is way much lower than on Earth. To hover hovercraft blows air under itself to create air cushion. This air cushion as I understand must have enough ...
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0answers
64 views

Finding equilibrium points in two dimensional potential [closed]

Ok so suppose I have a two dimentional potential. I want to find the stable and unstable equilibrium points and to decide which is which. So I know that I can derive them by finding the gradient of ...
3
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2answers
178 views

Is there something more to Noether's theorem?

From the definition of Lagrangian mechanics, Noether's theorem shows that conservation of momentum and energy comes from invariance vs time and space. Is the reverse true? Are Lagrangian mechanics ...
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71 views

Spinning a rope when hanging, what is the curve? [duplicate]

Holding a rope from one end and spinning it. As shown in the picture, what will be the curve of it?
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1answer
58 views

Potential Energy [closed]

I really need help with this homework question. I thought the function very stranger to be a function of a potential energy. It´s seems to be like Lennard Jonnes pontential energy function. Am I ...
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3answers
173 views

Why is walking up stairs harder than walking normally?

I must admit, I'm pretty new to studying physics and I know this is a simple concept but I'm having difficulty understanding it. I've tried reading the questions here but I just need a little bit of ...
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0answers
74 views

Proof of Lagrangian

I'm having some trouble with some math on a problem for a physics class (looking for help with some partial derivatives, not an answer). Let $$L'=L+\dfrac{dF}{dt},$$ where $L$ is a Lagrangian and $F$ ...
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1answer
44 views

Deriving some uniform circular motion equations

My question basically boils down to this. How do we derive these relationships. 1.)What is the relationship between radius and centripetal force? (inverse, but why?) 2.)What is the relationship ...
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1answer
128 views

When dealing with pulleys and hanging masses, does one add or subtract tensions to find torque?

I'm very confused on this problem. A pulley has two hanging blocks on either side with one having a greater mass. To find the torque, do I have to add the tensions of both the blocks or subtract the ...
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1answer
20 views

What is the lift coefficient and why is it important?

Why is it that there are numerous experiment on determining the lift coefficient of a tennis ball. Does the value have any use or show us anything about the ball?
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1answer
43 views

Deformation of a rubber ball between planes

I want to know the shape of a rubber ball when it is sandwiched between two (not necessary parallel) plane. If two plane is parallel, I think it is possible to approximate the ball as spheroid and ...
2
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2answers
162 views

Wind velocity required to get a flag flying/waving - is there a formula to estimate this?

For example, the giant flags here are 300' x 150 ' with 1,100 lb weight. A question was asked about how much wind would be required to "fly" such a flag given a tall enough flag pole. A Google search ...
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1answer
18 views

Organ pipe, waves, longitudinal waves, traverse waves

We all know that organ pipe work because of longitudinal stationary sound waves then why in diagrams showing the analysis of the physics behind the organ pipe transverse waves are drawn inside the ...
1
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0answers
27 views

Taylor vs Goldstein [duplicate]

I'm trying to select a mechanics book for self-study. I have some math background (linear algebra and calculus among other things) and I want to pick a book that won't skip over the math. I would ...
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1answer
50 views

3D Dynamics: determining the moments of inertia on a plate with a couple

My Mechanical textbook (Bedford & Fowler 4th Edition) has a worked out example for determining a couple using euler's equations. This is not a homework question (at least I don't think it is?), ...
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1answer
26 views

If there is a non-slipping string pulling a cylindrical object, is the rotational acceleration the same as the translational acceleration?

The rotational velocity and translational velocity are the same right? Assuming the cylindrical object does not interact with anything other than the string which applies a force.
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353 views

Inertia of yo-yo goes to infinity, what is tension and acceleration?

For this part, imagine that the string is wound around the center axle of a yo-yo; the axle radius is Raxle, but the yo-yo casing has a radius Rcasing≫Raxle and moment of inertia I≫mr2axle. In the ...
3
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0answers
100 views

From Newton to Kepler without infinitesimals

I've read some interesting calculus-free proofs of at least parts of the derivation of Kepler's Laws from Newton's gravitational force. One is of course Feyman's "Lost Lecture" (which was already ...
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1answer
65 views

Landau/Lifschitz's proof of Jacobi's identity

The Poisson brackets of two quantities is defined as $$[f,g]=\sum_k \Big( \frac{\partial f}{\partial p_k}\frac{\partial g}{ \partial q_k}- \frac{\partial f}{ \partial q_k}\frac{\partial g}{\partial ...
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1answer
21 views

Proper terminology for force/work to move something a certain distance in zero gravity?

I was asked a question along the lines of "how much force is needed to move 1kg 1 meter in zero gravity?" (no time limit, so quickly or slowly, and no deceleration to stop it at 1 meter). I replied "1 ...
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1answer
25 views

treadmill physics, wheel size vs. counterforce

I'm trying to design a classical treadmill for rodents which has two wheels at the two end and a plain "conveyor" belt in between. What is the best way of designing this if i want to have minimal ...
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3answers
128 views

What happens if a machine controlled by me from Earth strikes the Earth? [closed]

SITUATION: Suppose I am a mad scientist and I have made a machine which has enough mass to push the earth. Now I am controlling the machine with a remote control with which I can change its speed, ...
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3answers
70 views

Force of an object “skidding”?

Let's say I put the brakes on really suddenly in a car that was moving at 40mph. If I know how much force it takes to break the adhesion of the wheels, how do I find the force the car is exerting? ...
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1answer
56 views

Navier-Stokes: equation or equations [closed]

In textbooks and papers, you see both forms: the Navier-Stokes equation and the Navier-Stokes equations. Which one is correct and why?
2
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1answer
77 views

Dirac bracket for a constrained particle

I am trying to work through a simple example of how to use the Dirac bracket from the following paper. In particular section 4 where the authors consider a constrained particle with the following ...
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0answers
22 views

resonance frequency of a cylinder fixed on a wall from one side

How can we calculate the resonance frequency for a cylinder fixed horizontally to a wall from one side ? it is not bar or cantilever
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1answer
48 views

How to set up the Lagrangian for this kind of problem?

I'm currently studying rigid bodies in Goldstein's Classical Mechanics book but although I understand the theory I'm not yet understanding how to set up the Lagrangian in some situations. One such ...
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1answer
70 views

Why does $\omega = \sqrt{V''(x_0) / m}$?

I know that in an equation such that $$\ddot{x} + \omega^2x = 0,$$ the angular frequency $ = \omega$. But why is that ever $ \sqrt{V''(x_0) / m}$? (where $x_0$ is the equilibrium point). I just saw ...
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2answers
33 views

Is there a difference between releasing mass from spring gently and abruptly?

Can someone please explain the difference in the two following situations: Releasing a body attached to a spring gently Releasing a body attached to a spring abruptly Assuming that the mass of the ...
0
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1answer
69 views

An overdamped oscillator with natural frequency ω and damping coefficient γ starts out at position x0 > 0 [closed]

An overdamped oscillator with natural frequency ω and damping coefficient γ starts out at position x0 > 0. What is the maximum initial speed (directed toward the origin) it can have and not cross the ...
-1
votes
2answers
67 views

Movement of a ball rolling on a circle [closed]

I am trying to model the equation ruling the simple movement of a ball inside a circle structure (think of a 2D pendulum with no gravity looping on and on). I assume the following equation of the ...
0
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3answers
187 views

Why does the work-energy theorem need to include internal forces?

Can anyone kindly explain me why work energy theorem must also include internal forces? The proof of work energy theorem is derived from Newton's laws of motion, but Newton's laws of motion don't ...
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1answer
93 views

Conservation of energy or conservation of momentum- which one is applicable in this problem?

There was this question from Kleppner and Kolenkow's Classical Mechanics: PROBLEM: And I found its solution from this Link: It is quite an extended solution and I am not drawing you into the ...
3
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0answers
80 views

Where this relation for general non rigid motion comes from?

In Goldstein's Classical Mechanics book in the chapter about the dynamics of rigid bodies the equation $$\dfrac{dL_i}{dt}+\epsilon_{ijk}\omega_jL_k = N_i$$ is presented. Now, in one exercise, we are ...
1
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1answer
100 views

What is the curve that describes the Daytime line in a Day and Night World Map?

A Day and Night World Map shows which parts of the Earth are in daylight and which are in night at a given instant. At one side of the Daytime line they are in daylight and at the other side they are ...
0
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3answers
107 views

Friction of a rolling cylinder

I was wondering why friction vectors are drawn differently regarding a cylinder rolling on a surface and a cylinder rolling down an inclined surface. Since friction is responsible for the rotational ...
0
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0answers
35 views

Efficient orbit transfer

Well simple orbital (in plane) manoeuvres are quite easy and straight forward. Currently I found however an orbit I have a hard time calculating/reasoning the ideal path to get to. - Just as a note, ...
6
votes
2answers
151 views

How general are Noether's theorem in classical mechanics?

I'm going through the derivations of Noether's theorems and I have several criticisms as to how they are presented in popular sources (note that I'm only referring to classical mechanics here and not ...
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0answers
21 views

Determine the pressure difference required to drive a prescribed constant volume flux $Q$ through a gap

Determine the pressure difference $P_{1}-P_{2}$ required to drive a prescribed constant volume flux $Q$ per unit width through a gap of thickness $\delta$ of length $L$. To do this introduce ...
1
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1answer
31 views

When do I use center of mass versus conservation of momentum?

For example, if you are given your velocity in a problem where you are standing on a block slab which is on top of ice, you would use conservation of momentum. On the other hand, a question about a ...
0
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1answer
90 views

Measuring the moment of inertia of a flywheel using simple pendulum motion

I've seen a method for experimentally determining the moment of inertia of a flywheel and I'm not sure whats the reasoning behind it. You attach a small weight $m_1$ to the flywheel's edge, it's ...
0
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2answers
58 views

Energy of driven dampened oscillator

Given the oscillator described by: $$m\ddot{x}+\gamma \dot{x}+kx=F_0\cos(\omega t)$$ And supposing the system is at it's stable state, I wish to calculate the following: 1) The system's energy at any ...
1
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1answer
117 views

Why liquids and solids are mostly regarded as incompressible?

In many continuum-mechanical Problems it is assumed that liquid and solid substances cannot Change the total value of volume where it holds $\rho = const, \vec{\nabla}\cdot \vec{v} = 0$. In the ...
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2answers
75 views

Textbook for mathematical Lagrangian mechanics [duplicate]

I'm looking for a textbook or online notes or a review article etc on a rigerous formulation of Lagrangian mechanics. I'm well aware of the book by Arnold but I would like something to accompany it. ...