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Hooke`s law in terms of stress and strain is strain stress∝ In terms of
Hooke`s law in terms of stress and strain is strain stress∝ In terms of

Laws of Science- A Compilation - MS Ramaiah University of Applied
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... Newton has also proved a theorem which states that a thin spherical shell of uniform mass distribution gravitationally interacts with its outer region like a point particle as if its total mass is concentrated at its center. (The second part of the theorem states that the shell doesn’t interact with ...
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... on rigid bar by weights resting at various points along it is the same as it would be if all the weights were moved to a single point. This point is called the center of mass or the center of gravity. If you try to balance an object, it will only balance over its center of mass. If the center of mas ...
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Chapter 17

< 1 ... 185 186 187 188 189 190 191 192 193 ... 642 >

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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