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  2. Moment of inertia - Wikipedia

    en.wikipedia.org/wiki/Moment_of_inertia

    The moment of inertia depends on how mass is distributed around an axis of rotation, and will vary depending on the chosen axis. For a point-like mass, the moment of inertia about some axis is given by , where is the distance of the point from the axis, and is the mass. For an extended rigid body, the moment of inertia is just the sum of all ...

  3. List of moments of inertia - Wikipedia

    en.wikipedia.org/wiki/List_of_moments_of_inertia

    The moments of inertia of a mass have units of dimension ML 2 ([mass] × [length] 2). It should not be confused with the second moment of area, which has units of dimension L 4 ([length] 4) and is used in beam calculations. The mass moment of inertia is often also known as the rotational inertia, and sometimes as the angular mass.

  4. Parallel axis theorem - Wikipedia

    en.wikipedia.org/wiki/Parallel_axis_theorem

    Polar moment of inertia of a body around a point can be determined from its polar moment of inertia around the center of mass. The mass properties of a rigid body that is constrained to move parallel to a plane are defined by its center of mass R = ( x , y ) in this plane, and its polar moment of inertia I R around an axis through R that is ...

  5. Moment (physics) - Wikipedia

    en.wikipedia.org/wiki/Moment_(physics)

    The moment of inertia is the 2nd moment of mass: = for a point mass, for a collection of point masses, or () for an object with mass distribution (). The center of mass is often (but not always) taken as the reference point.

  6. Angular momentum - Wikipedia

    en.wikipedia.org/wiki/Angular_momentum

    Similarly, for a point mass the moment of inertia is defined as, = where is the radius of the point mass from the center of rotation, and for any collection of particles as the sum, =. Angular momentum's dependence on position and shape is reflected in its units versus linear momentum: kg⋅m 2 /s or N⋅m⋅s for angular momentum versus kg⋅m ...

  7. Second moment of area - Wikipedia

    en.wikipedia.org/wiki/Second_moment_of_area

    In physics, moment of inertia is strictly the second moment of mass with respect to distance from an axis: =, where r is the distance to some potential rotation axis, and the integral is over all the infinitesimal elements of mass, dm, in a three-dimensional space occupied by an object Q. The MOI, in this sense, is the analog of mass for ...

  8. Reduced mass - Wikipedia

    en.wikipedia.org/wiki/Reduced_mass

    3.1 Moment of inertia of two point masses in a line. 3.2 Collisions of particles. 3.3 Motion of two massive bodies under their gravitational attraction.

  9. Rotation around a fixed axis - Wikipedia

    en.wikipedia.org/wiki/Rotation_around_a_fixed_axis

    The moment of inertia of an object, symbolized by , is a measure of the object's resistance to changes to its rotation. The moment of inertia is measured in kilogram metre² (kg m 2). It depends on the object's mass: increasing the mass of an object increases the moment of inertia.