What is the role of mechanics in our world
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Classical Mechanics finds a large number of interesting and varied applications our daily lives. It is used in a plethora of things, such as explaining most of the phenomena we encounter in day-to-day activities. In machines and parts of machines, in sports, in simple processes like using simple machines, and not so simple processes like designing a mechanical system.
Furthermore, classical mechanics is used in especially complex applications like launching rockets and satellites, the principles of classical mechanics play an extremely important role. The laws have been cast into various different forms and methods - Newtonian mechanics, Lagrangian Mechanics and Hamiltonian Mechanics these methods are used according to which provides the answer most easily and conveniently. Here are just a few applications of classical mechanics
Describing the motion of a point mass in a central field of force. The most important example being the Kepler problem. This setup describes, for instance, the motion of planets and comets around the sun. In this case, solving the equations of motion analytically and derive important properties of the motion in a central field, such as periodicity, orbit parameters, escape velocity, Kepler laws, perihelion precession, etc.
Furthermore, classical mechanics is used in especially complex applications like launching rockets and satellites, the principles of classical mechanics play an extremely important role. The laws have been cast into various different forms and methods - Newtonian mechanics, Lagrangian Mechanics and Hamiltonian Mechanics these methods are used according to which provides the answer most easily and conveniently. Here are just a few applications of classical mechanics
Describing the motion of a point mass in a central field of force. The most important example being the Kepler problem. This setup describes, for instance, the motion of planets and comets around the sun. In this case, solving the equations of motion analytically and derive important properties of the motion in a central field, such as periodicity, orbit parameters, escape velocity, Kepler laws, perihelion precession, etc.
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