FACTOID # 7: Israel enjoys a GDP per capita 21 times that of the Palestinian West Bank and 33 times that of the Gaza Strip. Its military spending per capita tops the world.
 
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Encyclopedia > List of moment of inertia tensors

This list of moment of inertia tensors is given for principal axes of each object. Moment of inertia, also called mass moment of inertia and, sometimes, the angular mass, (SI units kg m², Former British units slug ft2) quantifies the rotational inertia of a rigid body, i. ... In mathematics, particularly linear algebra and functional analysis, the spectral theorem is a collection of results about linear operators or about matrices. ...

Description Figure Moment of inertia tensor Comment
Solid sphere of radius r and mass m Image:moment_of_inertia_solid_sphere.png I = begin{bmatrix} frac{2}{5} m r^2 & 0 & 0  0 & frac{2}{5} m r^2 & 0  0 & 0 & frac{2}{5} m r^2 end{bmatrix}
Hollow sphere of radius r and mass m Image:moment_of_inertia_solid_sphere.png

I = begin{bmatrix} frac{2}{3} m r^2 & 0 & 0  0 & frac{2}{3} m r^2 & 0  0 & 0 & frac{2}{3} m r^2 end{bmatrix} A sphere is a perfectly symmetrical geometrical object. ... MetaPost image of a sphere, with dimensions and axes specified. ... MetaPost image of a sphere, with dimensions and axes specified. ...

Right circular cone with radius r, height h and mass m Image:moment_of_inertia_cone.png I = begin{bmatrix} frac{1}{10} m h^2 + frac{3}{20} m r^2 & 0 & 0  0 & frac{1}{10} m h^2 + frac{3}{20} m r^2 & 0  0 & 0 & frac{3}{10} m r^2 end{bmatrix}
Solid cuboid of width w, height h, depth d, and mass m Image:moment_of_inertia_solid_rectangular_prism.png I = begin{bmatrix} frac{1}{12} m (h^2 + d^2) & 0 & 0  0 & frac{1}{12} m (w^2 + d^2) & 0  0 & 0 & frac{1}{12} m (w^2 + h^2) end{bmatrix}

This article is about angles in geometry. ... This article is about the geometric object, for other uses see Cone. ... MetaPost image of a cone, with dimensions and axes specified. ... Image of solid rectangular prism rotating about center. ...

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