Mechanics :: Education

Journal of Mathematical Physics: All Topics

Symmetry, full symmetry groups, and some exact solutions to a generalized Davey--Stewartson system
Biao Li, Wang-Chuan Ye, and Yong Chen The Lie symmetry algebra of a generalized DaveyStewartson (GDS) system is obtained. The general element of this algebra depends on eight arbitrary functions of time, which has a KacMoodyVirasoro loop algebra structure and is isomorphic to that of the standard integrable DaveyStewartson equations und ... [J. Math. Phys. 49, 103503 (2008)] published Thu Oct 9, 2008.
On the classification of Darboux integrable chains
Ismagil Habibullin, Natalya Zheltukhina, and Asli Pekcan We study a differential-difference equation of the form t(n+1)=f(t(n),t(n+1),t(n)) with unknown t=t(n,x) depending on x and n. The equation is called a Darboux integrable if there exist functions F (called an x-integral) and I (called an n-integral), both of a finite number of variables x,t(n),t(n1) ... [J. Math. Phys. 49, 102702 (2008)] published Thu Oct 9, 2008.
Stochastic quantization for complex actions
G. Menezes and N. F. Svaiter We use the stochastic quantization method to study systems with complex valued path integral weights. We assume a Langevin equation with a memory kernel and Einstein's relations with colored noise. The equilibrium solution of this non-Markovian Langevin equation is analyzed. We show that for a large ... [J. Math. Phys. 49, 102301 (2008)] published Thu Oct 9, 2008.

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Amusement Park Physics - How do physics laws affect amusement park ride design? Design your own roller coaster and experiment with bumper car collisions.
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An introduction to physics - Mechanics - An introduction to classical mechanics. Suitable for students who are beginning the subject.

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Central Forces with Java - A JAVA applet to simulate orbits in four different central forces: gravity, Yukawa, 1/R^4 and Black Holes

Chaotic Systems - A brief overview of chaos theory and applications in classical mechanics.

500 Classical Mechanics on About.com - Articles with practical advice and solutions for lots of topical problems.
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Classical Mechanics on Wikipedia - Free online encyclopedia with description of the theory and history of classical mechanics.

Derivation of basic gyroscope formula - Web page contains intuitive and clear, simple and intuitive derivation of Gyroscope Effect’s formula.

404 Free Body Diagrams - A short introduction to and description of free body diagrams which are essential for the understanding of classical mechanics.

Freshman Problems in Mechanics - Links to various problem sets relating to 1 and 2 dimensional kinematics. Easy mechanics problems and solutions.

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Kepler's Laws - Summary of Kepler's three laws.

Kepler's Laws - Article in the Platonic Realms. Gives an novice's overview of Kepler's laws.
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On a general Method of expressing the Paths of Light,and of the Planets, by the Coefficients of a Characteristic Function - An original paper by William Rowan Hamilton, dated 1833.
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Oscillations - Gives a solution on a symmetric, linear, triatomic molecule problem.

500 Physics for Beginners - This site covers motion and forces for individuals with no prior knowledge of the subject.
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Physics of Sound - Rigorous derivation of sound wave equations from a molecular model of an ideal diatomic gas. General solution of the wave equations. Point source radiating in a moving medium.

Rigid Bodies - Separation of motion of centre of mass and rotation about a fixed axis.

Simulations with Java - Provides several interactive physics simulations such as springs and masses, pendulums, molecules. Objects, mass, gravity, spring stiffness can be modified.

404 The Controversy over Newton's Gravitational Constant - History of the gravitational constant.

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404 The Physics and Math of Soccer - Discusses shape of a soccer ball, spin effects, motion of projectiles.
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Virtual Escalator - Virtual Escalator is an physics safety educational tool.
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