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Chapter 6 Lecture Notes Formulas: W = F    d = Fd cosθ K ≡ (1/2
Chapter 6 Lecture Notes Formulas: W = F d = Fd cosθ K ≡ (1/2

Dynamics Pupil Notes Name
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... proportional to (radial) distance from vortex centre. The larger the value of K the higher velocity at any particular radius r - this is why K is called vortex strength. Flow is akin to that seen around a plug hole… What would be a better representation of a flow near/down a plug hole? • Note that f ...
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... Newton’s third law simply says that forces come in pairs. You push on a wall and the wall pushes on you. We call these action/reaction force pairs. One of the skills most people master is walking. We rarely think about the act of walking – you don’t have to concentrate on it, it’s just something tha ...
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... Momentum conservation can be used to estimate the forces in a collision. Engineers need to know the forces so they can design things not to break when they are dropped. A rubber ball and a clay ball are dropped on a gymnasium floor. The rubber ball has an elastic collision and bounces back up with t ...
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... Whatever your physics is, you have some function, F(A,B), that expresses the force between two bodies A and B. For example, F(A,B) = G · dist(A,B)2 · mA · mB where G is the gravitational constant and m is the mass of the particle in question. If you have all of the forces for every pair of particles ...
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... 8-31. At a particular instant a mortar shell has a velocity of 60 m/s. If its potential energy at that point is one-half of its kinetic energy, what is its height above the earth? Ek = ½mv2 and Ep = mgh; At the instant in question, Ep = ½Ek ...
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Classical central-force problem



In classical mechanics, the central-force problem is to determine the motion of a particle under the influence of a single central force. A central force is a force that points from the particle directly towards (or directly away from) a fixed point in space, the center, and whose magnitude only depends on the distance of the object to the center. In many important cases, the problem can be solved analytically, i.e., in terms of well-studied functions such as trigonometric functions.The solution of this problem is important to classical physics, since many naturally occurring forces are central. Examples include gravity and electromagnetism as described by Newton's law of universal gravitation and Coulomb's law, respectively. The problem is also important because some more complicated problems in classical physics (such as the two-body problem with forces along the line connecting the two bodies) can be reduced to a central-force problem. Finally, the solution to the central-force problem often makes a good initial approximation of the true motion, as in calculating the motion of the planets in the Solar System.
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