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List Of Moments Of Inertia
The moment of inertia, denoted by , measures the extent to which an object resists rotational acceleration about a particular axis; it is the rotational analogue to mass (which determines an object's resistance to ''linear'' acceleration). The moments of inertia of a mass have units of dimension ML2 (ass× engthsup>2). It should not be confused with the second moment of area, which has units of dimension L4 ( engthsup>4) and is used in beam calculations. The mass moment of inertia is often also known as the rotational inertia or sometimes as the angular mass. For simple objects with geometric symmetry, one can often determine the moment of inertia in an exact closed-form expression. Typically this occurs when the mass density is constant, but in some cases, the density can vary throughout the object as well. In general, it may not be straightforward to symbolically express the moment of inertia of shapes with more complicated mass distributions and lacking symmetry. In calculati ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Moment Of Inertia
The moment of inertia, otherwise known as the mass moment of inertia, angular/rotational mass, second moment of mass, or most accurately, rotational inertia, of a rigid body is defined relatively to a rotational axis. It is the ratio between the torque applied and the resulting angular acceleration about that axis. It plays the same role in rotational motion as mass does in linear motion. A body's moment of inertia about a particular axis depends both on the mass and its distribution relative to the axis, increasing with mass and distance from the axis. It is an intensive and extensive properties, extensive (additive) property: for a point particle, point mass the moment of inertia is simply the mass times the square of the perpendicular distance to the axis of rotation. The moment of inertia of a rigid composite system is the sum of the moments of inertia of its component subsystems (all taken about the same axis). Its simplest definition is the second Moment (physics), mome ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Moment Of Inertia Rod Center
Moment or Moments may refer to: Science * Moment (mathematics), a concept in probability theory and statistics * Moment (physics), a combination of a physical quantity and a distance ** Moment of force or torque Time * Present time * An instant * Moment (unit), a medieval unit of time Technology * Moment space surveillance complex, a Russian military apparatus * Samsung M900 Moment, an Android phone Arts Film and television * ''Moment'' (film), a 1978 Yugoslav film * ''Moments'' (1974 film), a British drama starring Angharad Rees * ''Moments'' (1979 film), a French-Israeli film * ''Moments'' (talk show), a Philippine TV celebrity talk show Music and dance * Moment form, a musical concept developed by Karlheinz Stockhausen * ''Moment Rustica'' (ballet), a Martha Graham ballet * ''Momente'' or ''Moments'', a musical composition by Stockhausen * The Moments, American R&B vocal group Albums * A Moment, a 1994 album by Lalah Hathaway * ''Moment'' (Dark Tranquillity album ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Tetrahedron
In geometry, a tetrahedron (: tetrahedra or tetrahedrons), also known as a triangular pyramid, is a polyhedron composed of four triangular Face (geometry), faces, six straight Edge (geometry), edges, and four vertex (geometry), vertices. The tetrahedron is the simplest of all the ordinary convex polytope, convex polyhedra. The tetrahedron is the three-dimensional case of the more general concept of a Euclidean geometry, Euclidean simplex, and may thus also be called a 3-simplex. The tetrahedron is one kind of pyramid (geometry), pyramid, which is a polyhedron with a flat polygon base and triangular faces connecting the base to a common point. In the case of a tetrahedron, the base is a triangle (any of the four faces can be considered the base), so a tetrahedron is also known as a "triangular pyramid". Like all convex polyhedra, a tetrahedron can be folded from a single sheet of paper. It has two such net (polyhedron), nets. For any tetrahedron there exists a sphere (called th ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Moment Of Inertia Thick Cylinder H
Moment or Moments may refer to: Science * Moment (mathematics), a concept in probability theory and statistics * Moment (physics), a combination of a physical quantity and a distance ** Moment of force or torque Time * Present time * An instant * Moment (unit), a medieval unit of time Technology * Moment space surveillance complex, a Russian military apparatus * Samsung M900 Moment, an Android phone Arts Film and television * ''Moment'' (film), a 1978 Yugoslav film * ''Moments'' (1974 film), a British drama starring Angharad Rees * ''Moments'' (1979 film), a French-Israeli film * ''Moments'' (talk show), a Philippine TV celebrity talk show Music and dance * Moment form, a musical concept developed by Karlheinz Stockhausen * ''Moment Rustica'' (ballet), a Martha Graham ballet * ''Momente'' or ''Moments'', a musical composition by Stockhausen * The Moments, American R&B vocal group Albums * A Moment, a 1994 album by Lalah Hathaway * ''Moment'' (Dark Tranquillity albu ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Cylinder (geometry)
A cylinder () has traditionally been a three-dimensional solid, one of the most basic of curvilinear geometric shapes. In elementary geometry, it is considered a prism with a circle as its base. A cylinder may also be defined as an infinite curvilinear surface in various modern branches of geometry and topology. The shift in the basic meaning—solid versus surface (as in a solid ball versus sphere surface)—has created some ambiguity with terminology. The two concepts may be distinguished by referring to solid cylinders and cylindrical surfaces. In the literature the unadorned term "cylinder" could refer to either of these or to an even more specialized object, the '' right circular cylinder''. Types The definitions and results in this section are taken from the 1913 text ''Plane and Solid Geometry'' by George A. Wentworth and David Eugene Smith . A ' is a surface consisting of all the points on all the lines which are parallel to a given line and which pass through ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Area Density
The area density (also known as areal density, surface density, superficial density, areic density, column density, or density thickness) of a two-dimensional object is calculated as the mass per unit area. The SI derived unit is the "kilogram per square metre" (kg·m−2). In the paper and fabric industries, it is called grammage and is expressed in grams per square meter (g/m2); for paper in particular, it may be expressed as pounds per ream of standard sizes ("basis ream"). A related '' area number density'' can be defined by replacing mass by number of particles or other countable quantity, with resulting units of m−2. Formulation Area density can be calculated as: \rho_A = \frac or \rho_A = \rho \cdot l, where ' is the average area density, ' is the total mass of the object, ' is the total area of the object, ' is the average density, and ' is the average thickness of the object. Column density A special type of area density is called ''column density'' (als ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Moment Of Inertia Annulus
Moment or Moments may refer to: Science * Moment (mathematics), a concept in probability theory and statistics * Moment (physics), a combination of a physical quantity and a distance ** Moment of force or torque Time * Present time * An instant * Moment (unit), a medieval unit of time Technology * Moment space surveillance complex, a Russian military apparatus * Samsung M900 Moment, an Android phone Arts Film and television * ''Moment'' (film), a 1978 Yugoslav film * ''Moments'' (1974 film), a British drama starring Angharad Rees * ''Moments'' (1979 film), a French-Israeli film * ''Moments'' (talk show), a Philippine TV celebrity talk show Music and dance * Moment form, a musical concept developed by Karlheinz Stockhausen * ''Moment Rustica'' (ballet), a Martha Graham ballet * ''Momente'' or ''Moments'', a musical composition by Stockhausen * The Moments, American R&B vocal group Albums * A Moment, a 1994 album by Lalah Hathaway * ''Moment'' (Dark Tranquillity album ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Disk (mathematics)
In geometry, a disk (Spelling of disc, also spelled disc) is the region in a plane (geometry), plane bounded by a circle. A disk is said to be ''closed'' if it contains the circle that constitutes its boundary, and ''open'' if it does not. For a radius r, an open disk is usually denoted as D_r, and a closed disk is \overline. However in the field of topology the closed disk is usually denoted as D^2, while the open disk is \operatorname D^2. Formulas In Cartesian coordinates, the ''open disk'' with center (a, b) and radius ''R'' is given by the formula D = \, while the ''closed disk'' with the same center and radius is given by \overline = \. The area (geometry), area of a closed or open disk of radius ''R'' is π''R''2 (see area of a disk). Properties The disk has circular symmetry. The open disk and the closed disk are not topologically equivalent (that is, they are not homeomorphism, homeomorphic), as they have different topological properties from each other. For ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
