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There are two types of translatory motions: rectilinear motion; curvilinear motion. Since linear motion is a motion in a single dimension, the distance traveled by an object in particular direction is the same as displacement. [4] The SI unit of displacement is the metre.
The force on a test particle subject only to gravity and electromagnetism is = +, where p α is the linear 4-momentum of the particle, t is any time coordinate parameterizing the world line of the particle, Γ β αγ is the Christoffel symbol (gravitational force field), and q is the electric charge of the particle.
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 ...
[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.
The motion of an object moving in a curved path is called curvilinear motion. [1] Example: A stone thrown into the air at an angle . Curvilinear motion describes the motion of a moving particles that conforms to a known or fixed curve.
A light field parameterized this way is sometimes called a light slab. Some alternative parameterizations of the 4D light field, which represents the flow of light through an empty region of three-dimensional space. Left: points on a plane or curved surface and directions leaving each point. Center: pairs of points on the surface of a sphere.
A curvilinear coordinate system may be simpler to use than the Cartesian coordinate system for some applications. The motion of particles under the influence of central forces is usually easier to solve in spherical coordinates than in Cartesian coordinates; this is true of many physical problems with spherical symmetry defined in R 3.
Fig. 1: Fermat's principle in the case of refraction of light at a flat surface between (say) air and water. Given an object-point A in the air, and an observation point B in the water, the refraction point P is that which minimizes the time taken by the light to travel the path APB.