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Uniform Circular Motion
Uniform Circular Motion

... Other forms, such as 4! 2 R 2 f / T or 2! R" f , while valid, are uncommon. Often we decide which expression to use based on information that describes the orbit. A convenient measure might be the orbit’s radius. We may also independently know the period, or the frequency, or the angular velocity, o ...
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simple harmonic motion

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Physics 106P: Lecture 23 Notes

... A bowling ball of mass M and radius R is thrown with initial velocity v0. It is initially not rotating. After sliding with kinetic friction along the lane for a distance D it finally rolls without slipping and has a new velocity vf. The coefficient of kinetic friction between the ball and the lane i ...
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You can calculate the kinetic energy of a moving particle, and the

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circular motion
circular motion

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concept quiz - Mars at UMHB

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Class Notes - St. Bonaventure University

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Noninteracting Particle Systems - Particle Solids Interactions group

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... whose mass is confined to a plane and whose translational motion is zero (Figure 10-1). We suppose this object is rotating in a counterclockwise direction about an axis perpendicular to its plane passing through a point O. In the coordinate system of the figure, this axis can be thought of as the z- ...
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MCQ For XI - auroraclasses.org
MCQ For XI - auroraclasses.org

canim-11 - The University of Texas at Dallas
canim-11 - The University of Texas at Dallas

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Brownian motion



Brownian motion or pedesis (from Greek: πήδησις /pˈɪːdiːsis/ ""leaping"") is the random motion of particles suspended in a fluid (a liquid or a gas) resulting from their collision with the quick atoms or molecules in the gas or liquid. Wiener Process refers to the mathematical model used to describe such Brownian Motion, which is often called a particle theoryThis transport phenomenon is named after the botanist Robert Brown. In 1827, while looking through a microscope at particles trapped in cavities inside pollen grains in water, he noted that the particles moved through the water but was not able to determine the mechanisms that caused this motion. Atoms and molecules had long been theorized as the constituents of matter, and many decades later, Albert Einstein published a paper in 1905 that explained in precise detail how the motion that Brown had observed was a result of the pollen being moved by individual water molecules. This explanation of Brownian motion served as definitive confirmation that atoms and molecules actually exist, and was further verified experimentally by Jean Perrin in 1908. Perrin was awarded the Nobel Prize in Physics in 1926 ""for his work on the discontinuous structure of matter"" (Einstein had received the award five years earlier ""for his services to theoretical physics"" with specific citation of different research). The direction of the force of atomic bombardment is constantly changing, and at different times the particle is hit more on one side than another, leading to the seemingly random nature of the motion.The mathematical model of Brownian motion has numerous real-world applications. For instance, Stock market fluctuations are often cited, although Benoit Mandelbrot rejected its applicability to stock price movements in part because these are discontinuous.Brownian motion is among the simplest of the continuous-time stochastic (or probabilistic) processes, and it is a limit of both simpler and more complicated stochastic processes (see random walk and Donsker's theorem). This universality is closely related to the universality of the normal distribution. In both cases, it is often mathematical convenience, rather than the accuracy of the models, that motivates their use.
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