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Newton's laws are often stated in terms of point or particle masses, that is, bodies whose volume is negligible. This is a reasonable approximation for real bodies when the motion of internal parts can be neglected, and when the separation between bodies is much larger than the size of each.
There are two main descriptions of motion: dynamics and kinematics.Dynamics is general, since the momenta, forces and energy of the particles are taken into account. In this instance, sometimes the term dynamics refers to the differential equations that the system satisfies (e.g., Newton's second law or Euler–Lagrange equations), and sometimes to the solutions to those equations.
Curvilinear motion – It is defined as the motion along a curved path that may be planar or in three dimensions. Rolling motion – (as of the wheel of a bicycle) Oscillatory – (swinging from side to side) Vibratory motion; Combination (or simultaneous) motions – Combination of two or more above listed motions
The subject is based upon a three-dimensional Euclidean space with fixed axes, called a frame of reference. The point of concurrency of the three axes is known as the origin of the particular space. [3] Classical mechanics utilises many equations—as well as other mathematical concepts—which relate various physical quantities to one another.
In physics, Hamiltonian mechanics is a reformulation of Lagrangian mechanics that emerged in 1833. Introduced by Sir William Rowan Hamilton, [1] Hamiltonian mechanics replaces (generalized) velocities ˙ used in Lagrangian mechanics with (generalized) momenta.
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In physics, a number of noted theories of the motion of objects have developed. Among the best known are: Classical mechanics. Newton's laws of motion; Euler's laws of motion; Cauchy's equations of motion; Kepler's laws of planetary motion ; General relativity; Special relativity; Quantum mechanics
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