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Special cases of the three body problem
Special cases of the three body problem

... small and moves in the same plane (approximated by the Sun-Earth-Moon system and many others). The restricted problem (both circular and elliptical) was worked on by many famous mathematicians and physicists. In the circular problem, with respect to a rotating reference frame, the two co-orbiting bo ...
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Millikan Oil Drop Experiment

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1999 Question 6 solution

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... an angular velocity ω about the axis which goes through the center of the plate. After a record being put on it, the record will rotate will rotate with the turnplate under the action of friction force. Assume the radius of the plate is R and the mass is m,the friction factor is  .(1)what is the ma ...
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Angular Momentum - Piri Reis Üniversitesi

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... wall of the tube, so that there can be a centripetal force to move the objects in a circle. See the free-body diagram for an object on the inside of the outer wall, and a portion of the tube. The normal force of contact between the object and the wall must be maintaining the circular motion. Write N ...
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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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