• Thumbnail for 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...
    91 KB (17,282 words) - 01:27, 7 February 2025
  • The moment of inertia, denoted by I, measures the extent to which an object resists rotational acceleration about a particular axis; it is the rotational...
    22 KB (567 words) - 21:38, 14 February 2025
  • second moment of area, or second area moment, or quadratic moment of area and also known as the area moment of inertia, is a geometrical property of an area...
    16 KB (2,727 words) - 20:24, 16 January 2025
  • a list of second moments of area of some shapes. The second moment of area, also known as area moment of inertia, is a geometrical property of an area...
    11 KB (293 words) - 00:20, 27 March 2024
  • sciences, the moment of inertia factor or normalized polar moment of inertia is a dimensionless quantity that characterizes the radial distribution of mass inside...
    19 KB (1,914 words) - 23:02, 27 November 2024
  • Statics (redirect from Point of application)
    {\textbf {M}}} is the summation of all moments acting on the system, I {\displaystyle I} is the moment of inertia of the mass and α {\displaystyle \alpha...
    12 KB (1,743 words) - 07:16, 15 September 2024
  • The second polar moment of area, also known (incorrectly, colloquially) as "polar moment of inertia" or even "moment of inertia", is a quantity used to...
    11 KB (1,539 words) - 11:22, 24 January 2025
  • Inertia is the natural tendency of objects in motion to stay in motion and objects at rest to stay at rest, unless a force causes the velocity to change...
    27 KB (2,952 words) - 03:19, 8 November 2024
  • 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...
    13 KB (2,323 words) - 06:48, 30 January 2025
  • Thumbnail for Angular momentum
    m v , {\displaystyle p=mv,} angular momentum L is proportional to moment of inertia I and angular speed ω measured in radians per second. L = I ω . {\displaystyle...
    93 KB (13,465 words) - 08:19, 22 January 2025
  • of the cross-section at the point being measured Second moment of area Polar moment of inertia Section modulus Shigley's Mechanical Engineering Design...
    3 KB (512 words) - 17:05, 10 February 2025
  • Thumbnail for Flywheel
    conservation of angular momentum to store rotational energy, a form of kinetic energy proportional to the product of its moment of inertia and the square of its...
    19 KB (2,532 words) - 11:27, 19 January 2025
  • Thumbnail for Rotation around a fixed axis
    of inertia is measured in kilogram metre² (kg m2). It depends on the object's mass: increasing the mass of an object increases the moment of inertia. It...
    19 KB (3,177 words) - 20:58, 20 November 2024
  • Thumbnail for Beam (structure)
    equation, the variable I represents the second moment of area or moment of inertia: it is the sum, along the axis, of dA·r2, where r is the distance from the...
    13 KB (1,517 words) - 02:51, 8 November 2024
  • observations. The moment of inertia parameters indicate that the core of the Moon is both dense and small, with the rest of the Moon consisting of material with...
    30 KB (3,085 words) - 17:25, 1 January 2025
  • distribution ρ ( r ) {\displaystyle \rho (\mathbf {r} )} . The moment of inertia is the 2nd moment of mass: I = r 2 m {\displaystyle I=r^{2}m} for a point mass...
    22 KB (2,887 words) - 17:46, 16 February 2025
  • Thumbnail for Magic constant
    the moment of inertia. Summing the individual moments of inertia (distance squared from the center × the cell value) gives the moment of inertia for the...
    4 KB (495 words) - 05:42, 25 January 2023
  • Thumbnail for Tennis racket theorem
    the axis with moment of inertia I 3 {\displaystyle I_{3}} is also stable. Now apply the same analysis to the axis with moment of inertia I 2 . {\displaystyle...
    17 KB (2,691 words) - 06:27, 29 November 2024
  • principal axes of the inertia tensor, its component matrix is diagonal, which further simplifies calculations. As described in the moment of inertia article...
    9 KB (1,476 words) - 04:04, 2 November 2024
  • zeroth moment is the total mass, the first moment (normalized by total mass) is the center of mass, and the second moment is the moment of inertia. If the...
    21 KB (3,066 words) - 18:56, 8 December 2024
  • Rotational energy (category Forms of energy)
    object's axis of rotation, the following dependence on the object's moment of inertia is observed: E rotational = 1 2 I ω 2 {\displaystyle E_{\text{rotational}}={\tfrac...
    3 KB (416 words) - 13:40, 20 November 2024
  • Thumbnail for Precession
    time-varying moment of inertia, or more precisely, a time-varying inertia matrix. The inertia matrix is composed of the moments of inertia of a body calculated...
    21 KB (2,718 words) - 21:34, 15 January 2025
  • Thumbnail for Metacentric height
    for any combination of pitch and roll motion, depending on the moment of inertia of the waterplane area of the ship around the axis of rotation under consideration...
    17 KB (2,549 words) - 15:15, 9 October 2024
  • Thumbnail for Torque
    Torque (redirect from Moment of force)
    of a point particle, L = I ω , {\displaystyle \mathbf {L} =I{\boldsymbol {\omega }},} where I = m r 2 {\textstyle I=mr^{2}} is the moment of inertia and...
    32 KB (4,434 words) - 00:57, 3 January 2025
  • lower rotational inertia than vehicles with a front-mounted or rear-mounted engine.[citation needed] The lower rotational inertia of mid-mounted engine...
    5 KB (729 words) - 12:41, 12 February 2025
  • Thumbnail for Rhea (moon)
    the existence of a rocky core would imply a moment of inertia of about 0.34. In the same year, another paper claimed the moment of inertia was about 0.37...
    39 KB (3,941 words) - 23:05, 14 February 2025
  • Thumbnail for Deflection (engineering)
    {\displaystyle I} is the area moment of inertia of the cross-section, and M {\displaystyle M} is the internal bending moment in the beam. If, in addition...
    12 KB (1,810 words) - 20:35, 10 December 2024
  • Thumbnail for Torsion spring
    a frequency that depends on the moment of inertia of the beam and the elasticity of the fiber. Since the inertia of the beam can be found from its mass...
    19 KB (2,367 words) - 09:52, 21 January 2025
  • per unit of curvature, and not the total moment. I is termed as moment of inertia. J is denoted as 2nd moment of inertia/polar moment of inertia. Bending...
    4 KB (540 words) - 04:40, 13 May 2024
  • {dT}{dt}}=0} . The angular kinetic energy may be expressed in terms of the moment of inertia tensor I {\displaystyle \mathbf {I} } and the angular velocity...
    13 KB (2,094 words) - 03:26, 14 February 2025