Перевод и анализ слов искусственным интеллектом ChatGPT
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- этимология
ellipse of inertia - перевод на русский
![Spinning figure skaters can reduce their moment of inertia by pulling in their arms, allowing them to spin faster due to [[conservation of angular momentum]].](https://commons.wikimedia.org/wiki/Special:FilePath/Cup of Russia 2010 - Yuko Kawaguti (2).jpg?width=200 "Spinning figure skaters can reduce their moment of inertia by pulling in their arms, allowing them to spin faster due to [[conservation of angular momentum]].")
![A 1920s John Deere tractor with the spoked [[flywheel]] on the engine. The large moment of inertia of the flywheel smooths the operation of the tractor.](https://commons.wikimedia.org/wiki/Special:FilePath/Johndeered.jpg?width=200 "A 1920s John Deere tractor with the spoked [[flywheel]] on the engine. The large moment of inertia of the flywheel smooths the operation of the tractor.")
![Pendulums used in Mendenhall [[gravimeter]] apparatus, from 1897 scientific journal. The portable gravimeter developed in 1890 by Thomas C. Mendenhall provided the most accurate relative measurements of the local gravitational field of the Earth.](https://commons.wikimedia.org/wiki/Special:FilePath/Mendenhall gravimeter pendulums.jpg?width=200 "Pendulums used in Mendenhall [[gravimeter]] apparatus, from 1897 scientific journal. The portable gravimeter developed in 1890 by Thomas C. Mendenhall provided the most accurate relative measurements of the local gravitational field of the Earth.")
![OGV version]])](https://commons.wikimedia.org/wiki/Special:FilePath/Rolling Racers - Moment of inertia.gif?width=200 "OGV version]])")
![[[Tightrope walker]]s use the moment of inertia of a long rod for balance as they walk the rope. Samuel Dixon crossing the [[Niagara River]] in 1890.](https://commons.wikimedia.org/wiki/Special:FilePath/Samuel Dixon Niagara.jpg?width=200 "[[Tightrope walker]]s use the moment of inertia of a long rod for balance as they walk the rope. Samuel Dixon crossing the [[Niagara River]] in 1890.")
строительное дело
эллипс инерции
Определение
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Википедия
The moment of inertia, otherwise known as the mass moment of inertia, angular mass, second moment of mass, or most accurately, rotational inertia, of a rigid body is a quantity that determines the torque needed for a desired angular acceleration about a rotational axis, akin to how mass determines the force needed for a desired acceleration. It depends on the body's mass distribution and the axis chosen, with larger moments requiring more torque to change the body's rate of rotation.
It is an extensive (additive) property: for a 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 of mass with respect to distance from an axis.
For bodies constrained to rotate in a plane, only their moment of inertia about an axis perpendicular to the plane, a scalar value, matters. For bodies free to rotate in three dimensions, their moments can be described by a symmetric 3-by-3 matrix, with a set of mutually perpendicular principal axes for which this matrix is diagonal and torques around the axes act independently of each other.
