Inertia tensor of triangle — The inertia tensor mathbf{J} of a triangle (like the inertia tensor of any body) can be expressed in terms of covariance mathbf{C} of the body::mathbf{J} = mathrm{tr}(mathbf{C})mathbf{I} mathbf{C}where covariance is defined as area integral over… … Wikipedia
Moment of inertia — This article is about the moment of inertia of a rotating object, also termed the mass moment of inertia. For the moment of inertia dealing with the bending of a beam, also termed the area moment of inertia, see second moment of area. In… … Wikipedia
Gyration tensor — The gyration tensor is a tensor that describes the second moments of position of a collection of particles :S {mn} stackrel{mathrm{def{=} frac{1}{N}sum {i=1}^{N} r {m}^{(i)} r {n}^{(i)}where r {m}^{(i)} is the mathrm{m^{th Cartesian coordinate of … Wikipedia
List of moment of inertia tensors — This list of moment of inertia tensors is given for principal axes of each object.ee also*Moment of inertia *List of area moments of inertia *The inertia tensor of a triangle in three dimensional space * [http://number none.com/blow/inertia/bb… … Wikipedia
inertial tensor — inercijos tenzorius statusas T sritis fizika atitikmenys: angl. inertia tensor; inertial tensor vok. Trägheitstensor, m rus. тензор инерции, m pranc. tenseur d’inertie, m … Fizikos terminų žodynas
Symmetric tensor — In mathematics, a symmetric tensor is a tensor that is invariant under a permutation of its vector arguments. Symmetric tensors of rank two are sometimes called quadratic forms. In more abstract terms, symmetric tensors of general rank are… … Wikipedia
Metric tensor — In the mathematical field of differential geometry, a metric tensor is a type of function defined on a manifold (such as a surface in space) which takes as input a pair of tangent vectors v and w and produces a real number (scalar) g(v,w) in a… … Wikipedia
Rigid rotor — The rigid rotor is a mechanical model that is used to explain rotating systems. An arbitrary rigid rotor is a 3 dimensional rigid object, such as a top. To orient such an object in space three angles are required. A special rigid rotor is the… … Wikipedia
Eigenvalues and eigenvectors — For more specific information regarding the eigenvalues and eigenvectors of matrices, see Eigendecomposition of a matrix. In this shear mapping the red arrow changes direction but the blue arrow does not. Therefore the blue arrow is an… … Wikipedia
Euler's equations (rigid body dynamics) — This page discusses rigid body dynamics. For other uses, see Euler function (disambiguation). In physics, Euler s equations describe the rotation of a rigid body in a frame of reference fixed in the rotating body:egin{matrix}I 1dot{omega} {1}+(I … Wikipedia