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  2. List of second moments of area - Wikipedia

    en.wikipedia.org/wiki/List_of_second_moments_of_area

    Regular polygons; Description Figure Second moment of area Comment A filled regular (equiliteral) triangle with a side length of a = = [6] The result is valid for both a horizontal and a vertical axis through the centroid, and therefore is also valid for an axis with arbitrary direction that passes through the origin.

  3. Right triangle - Wikipedia

    en.wikipedia.org/wiki/Right_triangle

    Every right triangle is half of a rectangle which has been divided along its diagonal. When the rectangle is a square, its right-triangular half is isosceles, with two congruent sides and two congruent angles. When the rectangle is not a square, its right-triangular half is scalene.

  4. Moment of inertia - Wikipedia

    en.wikipedia.org/wiki/Moment_of_inertia

    This is determined by summing the moments of inertia of the thin discs that can form the sphere whose centers are along the axis chosen for consideration. If the surface of the sphere is defined by the equation [ 23 ] : 1301 x 2 + y 2 + z 2 = R 2 , {\displaystyle x^{2}+y^{2}+z^{2}=R^{2},}

  5. List of moments of inertia - Wikipedia

    en.wikipedia.org/wiki/List_of_moments_of_inertia

    Thin rectangular plate of mass m, length of side adjacent to side containing axis of rotation is r [a] (Axis of rotation along a side of the plate) = Solid rectangular cuboid of height h, width w, and depth d, and mass m. [7]

  6. Parallel axis theorem - Wikipedia

    en.wikipedia.org/wiki/Parallel_axis_theorem

    The parallel axis theorem, also known as Huygens–Steiner theorem, or just as Steiner's theorem, [1] named after Christiaan Huygens and Jakob Steiner, can be used to determine the moment of inertia or the second moment of area of a rigid body about any axis, given the body's moment of inertia about a parallel axis through the object's center of gravity and the perpendicular distance between ...

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  8. Rectangle - Wikipedia

    en.wikipedia.org/wiki/Rectangle

    A crossed rectangle is a crossed (self-intersecting) quadrilateral which consists of two opposite sides of a rectangle along with the two diagonals [4] (therefore only two sides are parallel). It is a special case of an antiparallelogram , and its angles are not right angles and not all equal, though opposite angles are equal.

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