Questions tagged [classical-mechanics]
Classical mechanics discusses the behaviour of macroscopic bodies under the influence of forces (without necessarily specifying the origin of these forces). If it's possible, USE MORE SPECIFIC TAGS like [newtonian-mechanics], [lagrangian-formalism], and [hamiltonian-formalism].
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Statistical mechanics of a deterministic system
I have a classical gas in a box with adiabatic walls so it's isolated from its environment, and at $t=0$ I (magically) record the exact microstate of all the particles. Since this is classical, the ...
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Understanding Circular/Spiral motion in uniform magnetic field
We know that kinetic energy is preserved in the case where the velocity of the charged particle is directly perpendicular to the magnetic field. The analysis of the force that the particle exhibits ...
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The No Slip/Slip Condition for Rotating/Rotating and Translating Bodies
Consider a sphere of radius $r$ that is rolling on a rough surface, where its translational velocity $v$ is equal to $\omega r$, where $w$ is the angular velocity of its rotation. In this case, I ...
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Biot-Savart and equilibrium [closed]
I am trying to do this exercise of electromagnetism, taken from "Problems and solutions on electromagnetism", by Lim, Yung-kuo. I have a question about the point c of the exercise: if the ...
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Problem with Dirac-Bergmann algorithm [closed]
This is from Lemos, Analytical Mechanics, Problem 8.24.
Consider the Lagrangian
$$L = (\dot{y}- z)(\dot{x} - y).$$
I found the Lagrangian equations of motion to be
$$\ddot{y} = \dot{z},$$
$$\ddot{x} = ...
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Volumetric flow rate given pressure in Darcy's law with Forchheimer term
Darcy's Law establishes a linear relationship between the pressure gradient and the volumetric flow rate in stationary, creeping, incompressible flow through porous media (1D for simplicity).
$$
Q = - ...
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Advanced math courses for theoretical physics students [closed]
Theoretical physics studies concerning statistical mechanics, dynamical systems and analytical classical mechanics all require working knowledge of mathematical concepts and theories (e.g. manifolds, ...
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About Yo-yo motion and forces constraint
The purpose of the Euler-Lagrange equation, is supposed to enable us to describe a system with the fewest possible coordinates, using generalized coordinates instead of traditional ones.
However, in ...
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Solution of the classical 2D quartic oscillator
Consider a classical oscillator in two spatial dimensions with Hamiltonian
$$H=\frac{1}{2}\vec{p}^2 + \frac{1}{2}\omega r^2 + ar^4.$$
This system has two conserved quantities, the energy and angular ...
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Rolling without slipping and tangential accelereation of the contact point
Let's consider a wheel that rolls without slipping on a plane surface. I know that the rolling without slipping condition means that the velocity of the contact point of the wheel relative to the ...
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How to do classical perturbation theory with Poisson brackets
I need some help computing the behavior of variables $c_i$ in a classical system with Hamiltonian $H$ using perturbation theory. There are as many $c_i$ variables as there are degrees of freedom. I'd ...
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Condition for vehicle jump [closed]
Consider a small body moving on a curved surface under influence of the homogeneous gravitational field $\vec g$. This represents a rolling ball with a negligible momentum of inertia, a bike or a car ...
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Understanding conservation of angular momentum with examples
I want to be sure I understand fully the conservation of angular momentum or/and the angular momentum itself with 3 examples, the first one I understand but the other 2 not really.
The famous ...
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Energy and momentum conservation of two balls
I was wondering what principles (axiom or laws?) of physics is broken in classical mechanical sense.
Say in a 1-dimensional world, I have ball 1 (denoted as $B_1$) and ball 2 (denoted as $B_2$) in an ...
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Type of collision of two billiard balls
My textbook has the following question:
If the potential energy of two billiard balls depends only on the seperation distance between their centres, is the collison elastic or inelastic? (Note: we ...
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