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The linear motion can be of two types: uniform linear motion, with constant velocity (zero acceleration); and non-uniform linear motion, with variable velocity (non-zero acceleration). The motion of a particle (a point-like object) along a line can be described by its position x {\displaystyle x} , which varies with t {\displaystyle t} (time).
Rectilinear propagation was discovered by Pierre de Fermat. [1] Rectilinear propagation is only an approximation. [citation needed] The rectilinear approximation is only valid for short distances, in reality light is a wave and have a tendency to spread out over time. The distances for which the approximation is valid depends on the wavelength ...
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.
[Also known as rectilinear motion] Reciprocal motion; Brownian motion – the random movement of very small particles; Circular motion; Rotatory motion – a motion about a fixed point. (e.g. Ferris wheel). Curvilinear motion – It is defined as the motion along a curved path that may be planar or in three dimensions.
With cylindrical co-ordinates which are described as î and j, the motion is best described in polar form with components that resemble polar vectors.As with planar motion, the velocity is always tangential to the curve, but in this form acceleration consist of different intermediate components that can now run along the radius and its normal vector.
Jean d'Alembert (1717–1783). D'Alembert's principle, also known as the Lagrange–d'Alembert principle, is a statement of the fundamental classical laws of motion. It is named after its discoverer, the French physicist and mathematician Jean le Rond d'Alembert, and Italian-French mathematician Joseph Louis Lagrange.
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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.