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  2. List of moments of inertia - Wikipedia

    en.wikipedia.org/wiki/List_of_moments_of_inertia

    The above formula is for the xy plane passing through the center of mass, which coincides with the geometric center of the cylinder. If the xy plane is at the base of the cylinder, i.e. offset by d = h 2 , {\displaystyle d={\frac {h}{2}},} then by the parallel axis theorem the following formula applies:

  3. Face diagonal - Wikipedia

    en.wikipedia.org/wiki/Face_diagonal

    The cuboid's space diagonals all have the same length. If the edge lengths of a cuboid are a, b, and c, then the distinct rectangular faces have edges (a, b), (a, c), and (b, c); so the respective face diagonals have lengths +, +, and +. Thus each face diagonal of a cube with side length a is . [3] A regular dodecahedron has 60 face diagonals ...

  4. List of formulas in elementary geometry - Wikipedia

    en.wikipedia.org/wiki/List_of_formulas_in...

    This is a list of volume formulas of basic shapes: [4]: 405–406 Cone – , where is the base's radius; Cube – , where is the side's length;; Cuboid – , where , , and are the sides' length;

  5. Euler brick - Wikipedia

    en.wikipedia.org/wiki/Euler_brick

    In the case of the body cuboid, the body (space) diagonal g is irrational. For the edge cuboid, one of the edges a, b, c is irrational. The face cuboid has one of the face diagonals d, e, f irrational. The body cuboid is commonly referred to as the Euler cuboid in honor of Leonhard Euler, who discussed this type of cuboid. [15]

  6. Diagonal - Wikipedia

    en.wikipedia.org/wiki/Diagonal

    The diagonals of a cube with side length 1. AC' (shown in blue) is a space diagonal with length , while AC (shown in red) is a face diagonal and has length .. In geometry, a diagonal is a line segment joining two vertices of a polygon or polyhedron, when those vertices are not on the same edge.

  7. List of equations in classical mechanics - Wikipedia

    en.wikipedia.org/wiki/List_of_equations_in...

    Classical mechanics is the branch of physics used to describe the motion of macroscopic objects. [1] It is the most familiar of the theories of physics. The concepts it covers, such as mass, acceleration, and force, are commonly used and known. [2]

  8. List of centroids - Wikipedia

    en.wikipedia.org/wiki/List_of_centroids

    The following is a list of centroids of various two-dimensional and three-dimensional objects. The centroid of an object in -dimensional space is the intersection of all hyperplanes that divide into two parts of equal moment about the hyperplane.

  9. Effective mass (solid-state physics) - Wikipedia

    en.wikipedia.org/wiki/Effective_mass_(solid...

    For parabolic bands, the off-diagonal elements of M inert −1 are zero, and the diagonal elements are constants; For isotropic bands the diagonal elements must all be equal and the off-diagonal elements must all be equal. For parabolic isotropic bands, M inert −1 = ⁠ 1 / m * ⁠ I, where m * is a scalar effective mass and I is the identity.