SUMMARY Phys 2113 (General Physics I) Compiled by Prof
... assumption, objects may deform, there may be random motion of molecules that comprise the body (heat and temperature), and there may be motions of the individual constituents of the molecules with respect to each other (vibration). There is work and energy associated with each of these motions. When ...
... assumption, objects may deform, there may be random motion of molecules that comprise the body (heat and temperature), and there may be motions of the individual constituents of the molecules with respect to each other (vibration). There is work and energy associated with each of these motions. When ...
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... axis so that an inward force, FCNWARD, acts on the rolling particle. This gravitational force increases with the slope angle, [3. An opposing outward centrifugal force, FolJIWARD, acts on the sphere. The centrifugal force increases with the square of the forward rolling velocity. If the outward forc ...
... axis so that an inward force, FCNWARD, acts on the rolling particle. This gravitational force increases with the slope angle, [3. An opposing outward centrifugal force, FolJIWARD, acts on the sphere. The centrifugal force increases with the square of the forward rolling velocity. If the outward forc ...
The Principle of Least Action
... basically consisting of the application of Newton’s Laws, and energy methods, consisting of the application of the principle of conservation of energy (the conservations of linear and angular momenta can also be considered as part of this). Both have their advantages and disadvantages. More precisel ...
... basically consisting of the application of Newton’s Laws, and energy methods, consisting of the application of the principle of conservation of energy (the conservations of linear and angular momenta can also be considered as part of this). Both have their advantages and disadvantages. More precisel ...
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... which interval the velocity was not constant. Explain. Since velocity is the slope of the curve in a x vs t graph we can look for the interval where the slope is not constant. That interval is BC. ...
... which interval the velocity was not constant. Explain. Since velocity is the slope of the curve in a x vs t graph we can look for the interval where the slope is not constant. That interval is BC. ...
kx F = The Spring
... Five identical springs, each with stiffness 390 N/ m, are attached in parallel (that is side-by-side) to hold up a heavy weight. If these springs were replaced by an equivalent single spring, what should be the stiffness of this single spring? ...
... Five identical springs, each with stiffness 390 N/ m, are attached in parallel (that is side-by-side) to hold up a heavy weight. If these springs were replaced by an equivalent single spring, what should be the stiffness of this single spring? ...
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... velocity w OP makes an angle q with the x axis At some time, the angle between OP and the x axis will be q wt + f ...
... velocity w OP makes an angle q with the x axis At some time, the angle between OP and the x axis will be q wt + f ...
The student will demonstrate an understanding of motion, forces
... • You will use equipment to measure time and distance so that the motion of the object can be determined. • You will used data collected to calculate the speed of an object. • You will explain the results of applying a force to an object. ...
... • You will use equipment to measure time and distance so that the motion of the object can be determined. • You will used data collected to calculate the speed of an object. • You will explain the results of applying a force to an object. ...
Standard EPS Shell Presentation
... A moving body will continue moving in the same direction with the same speed until some net force acts on it. A body at rest will remain at rest unless a net force acts on it. Summing it up: It takes a net force to change a body’s velocity. ...
... A moving body will continue moving in the same direction with the same speed until some net force acts on it. A body at rest will remain at rest unless a net force acts on it. Summing it up: It takes a net force to change a body’s velocity. ...
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.