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motion in two dimension
motion in two dimension

... two dimensions. Do not confuse direction with dimension . There is indefinite number of directions the object can move along, but there are only three independent dimensions in space . What does independent dimension mean? In the Cartesian coordinate system the directions of x, y and z axis are inde ...
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ITP - Fort Thomas Independent Schools

... 1. A book weighing 8 N is at rest on a table top. Diagram the forces acting on the book. 2. A girl weighing 450 N is suspended motionless from the gymnasium ceiling by gripping two rope rings. Diagram the forces acting on the combination of girl and bar. 3. An egg is free-falling from a nest in a tr ...
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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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