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Top 20 Directory:
Top : Science : Physics : Classical_Mechanics
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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.
  • An introduction to physics - Mechanics: An introduction to classical mechanics. Suitable for students who are beginning the subject.
  • Block and Tackle: Colorful illustrated tutorial shows how a block and tackle (as well as levers and gears) works.
  • 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.
  • Classical Mechanics on About.com: Articles with practical advice and solutions for lots of topical problems.
  • 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.
  • Freshman Problems in Mechanics: Links to various problem sets relating to 1 and 2 dimensional kinematics. Easy mechanics problems and solutions.
  • Gravity: If you want to learn about gravity come here.
  • Gyroscope: Graphics, related links and a video combine to show you how gyroscopes work.
  • How a Helium Balloon Works: Explanation of lifting capabilities of helium, hydrogen and hot air balloons, from How Stuff Works.
  • 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.
  • 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.
  • Oscillations: Gives a solution on a symmetric, linear, triatomic molecule problem.
  • Physics for Beginners: This site covers motion and forces for individuals with no prior knowledge of the subject.
  • 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.
  • Primitive Potentials and Newton's Laws from Symmetry: Symmetry of function. Finding of primitive without integration-summation. Newton's laws of any order. Mechanics of third order.
  • 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.
  • The Controversy over Newton's Gravitational Constant: History of the gravitational constant.
  • The Lagrange Points: Overview of the Lagrange points of the sun-earth-system. Links to a detailed derivation.
  • The Physics and Math of Soccer: Discusses shape of a soccer ball, spin effects, motion of projectiles.
  • Virtual Escalator: Virtual Escalator is an physics safety educational tool.
  • Wave Equation: Mathematical description and derivation of wave equations.


     from Wikipedia

    Mechanics

    From Wikipedia, the free encyclopedia

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    Mechanics (Greek Μηχανική) is the branch of physics concerned with the behaviour of physical bodies when subjected to forces or displacements, and the subsequent effect of the bodies on their environment.

    The discipline has its roots in several ancient civilizations: ancient Greece, where Aristotle studied the way bodies behaved when they were thrown through the air (e.g. a stone); ancient China, with figures such as Zhang Heng, Shen Kuo, and Su Song; and ancient India, with thinkers such as Kanada, Aryabhata, and Brahmagupta. During the Middle Ages, significant contributions to mechanics were made by Muslim scientists, such as Muhammad ibn Musa, Alhacen, Avicenna, Avempace, al-Baghdadi, and al-Khazini. During the early modern period, scientists such as Galileo, Kepler, and especially Newton, laid the foundation for what is now known as Newtonian mechanics.

    A person working in the discipline is known as a mechanician.

    Significance

    Mechanics is the original discipline of physics, dealing with the macroscopic world that humans perceive. It is therefore a huge body of knowledge about the natural world. Mechanics encompasses the movement of all matter in the universe under the four fundamental interactions (or forces): gravity, the strong and weak interactions, and the electromagnetic interaction.

    Mechanics also constitutes a central part of technology, the application of physical knowledge for humanly defined purposes. In this connection, the discipline is often known as engineering or applied mechanics. In this sense, mechanics is used to design and analyze the behavior of structures, mechanisms, and machines. Important aspects of the fields of mechanical engineering, aerospace engineering, civil engineering, structural engineering, materials engineering, biomedical engineering and biomechanics were spawned from the study of mechanics.

    Classical vs. Quantum

    The major division of the mechanics discipline separates classical mechanics from quantum mechanics.

    Historically, classical mechanics came first, while quantum mechanics is a comparatively recent invention. Classical mechanics is older than written history, while quantum mechanics didn't appear until 1900. Both are commonly held to constitute the most certain knowledge that exists about physical nature. Classical mechanics has especially often been viewed as a model for other so-called exact sciences. Essential in this respect is the relentless use of mathematics in theories, as well as the decisive role played by experiment in generating and testing them.

    Quantum mechanics is, formally at least, of the widest scope, and can be seen as encompassing classical mechanics, as a sub-discipline which applies under certain restricted circumstances. According to the correspondence principle, there is no contradiction or conflict between the two subjects, each simply pertains to specific situations. While it is true that historically quantum mechanics has been seen as having superseded classical mechanics, this is only true on the hypothetical or foundational level. For practical problems, classical mechanics is able to solve problems which are unmanageably difficult in quantum mechanics and hence remains useful and well used.

    Einsteinian vs. Newtonian

    Analogous to the quantum vs. classical reformation, Einstein's general and special theories of relativity have expanded the scope of mechanics beyond the mechanics of Newton and Galileo, and made small corrections to them. Relativistic corrections were also needed for quantum mechanics, although relativity is categorized as a classical theory.

    There are no contradictions or conflicts between the two, so long as the specific circumstances are carefully kept in mind. Just as one could, in the loosest possible sense, characterize classical mechanics as dealing with "large" bodies (such as engine parts), and quantum mechanics with "small" ones (such as particles), it could be said that relativistic mechanics deals with "fast" bodies, and non-relativistic mechanics with "slow" ones. However, "fast" and "slow" are subjective concepts, depending on the state of motion of the observer. This means that all mechanics, whether classical or quantum, potentially needs to be described relativistically. On the other hand, as an observer, one may frequently arrange the situation in such a way that this is not really required.

    Types of Mechanical Bodies

    Thus the often-used term body needs to stand for a wide assortment of objects, including particles, projectiles, spacecraft, stars, parts of machinery, parts of solids, parts of fluids (gases and liquids), etc.

    Other distinctions between the various sub-disciplines of mechanics, concern the nature of the bodies being described. Particles are bodies with little (known) internal structure, treated as mathematical points in classical mechanics. Rigid bodies have size and shape, but retain a simplicity close to that of the particle, adding just a few so-called degrees of freedom, such as orientation in space.

    Otherwise, bodies may be semi-rigid, i.e. elastic, or non-rigid, i.e. fluid. These subjects have both classical and quantum divisions of study.

    For instance: The motion of a spacecraft, regarding its orbit and attitude (rotation), is described by the relativistic theory of classical mechanics. While analogous motions of an atomic nucleus are described by quantum mechanics.

    Sub-disciplines in mechanics

    The following are two lists of various subjects that are studied in mechanics.

    Note that there is also the "theory of fields" which constitutes a separate discipline in physics, formally treated as distinct from mechanics, whether classical fields or quantum fields. But in actual practice, subjects belonging to mechanics and fields are closely interwoven. Thus, for instance, forces that act on particles are frequently derived from fields (electromagnetic or gravitational), and particles generate fields by acting as sources. In fact, in quantum mechanics, particles themselves are fields, as described theoretically by the wave function.

    Classical mechanics

    The following are described as forming Classical mechanics:

    Quantum mechanics

    The following are categorized as being part of Quantum mechanics:

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