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Lecture# Calculating Moments of Inertia

Description

This lecture covers the calculation of moments of inertia for different geometries such as homogeneous bars and cylinders, using linear and volume density. The instructor explains the application of the Steiner formula to determine moments of inertia.

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In MOOCs (9)

Related concepts (20)

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Ce cours de Physique générale – mécanique fourni les outils permettant de maîtriser la mécanique newtonienne du point matériel.

Point System Mechanics

Ce cours de Physique générale – mécanique fourni les outils permettant de maîtriser la mécanique newtonienne du point matériel.

Rigid Body Mechanics

Ce cours de Physique générale – mécanique fourni les outils permettant de maîtriser la mécanique newtonienne du point matériel.

Lagrangian MechanicsCe cours de Physique générale – mécanique fourni les outils permettant de maîtriser la mécanique newtonienne du point matériel.

Newton's Mechanics

Ces quelques leçons de mécanique de Newton font partie d'un cours de formation de base en mécanique Newtonienne présenté sous la forme de 5 MOOCs:

- Mécanique de Newton
- Mécanique du point matérie

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.

Inertia is the idea that an object will continue its current motion until some force causes its speed or direction to change. The term is properly understood as shorthand for "the principle of inertia" as described by Newton in his first law of motion. After some other definitions, Newton states in his first law of motion: LAW I. Every object perseveres in its state of rest, or of uniform motion in a right line, unless it is compelled to change that state by forces impressed thereon.

Mechanics (from Ancient Greek: μηχανική, mēkhanikḗ, "of machines") is the area of mathematics and physics concerned with the relationships between force, matter, and motion among physical objects. Forces applied to objects result in displacements or changes of an object's position relative to its environment. Theoretical expositions of this branch of physics has its origins in Ancient Greece, for instance, in the writings of Aristotle and Archimedes (see History of classical mechanics and Timeline of classical mechanics).

Classical mechanics is a physical theory describing the motion of macroscopic objects, from projectiles to parts of machinery and astronomical objects, such as spacecraft, planets, stars, and galaxies. For objects governed by classical mechanics, if the present state is known, it is possible to predict how it will move in the future (determinism), and how it has moved in the past (reversibility). The "classical" in "classical mechanics" does not refer classical antiquity, as it might in, say, classical architecture.

In physics, a moment is a mathematical expression involving the product of a distance and physical quantity. Moments are usually defined with respect to a fixed reference point and refer to physical quantities located some distance from the reference point. In this way, the moment accounts for the quantity's location or arrangement. For example, the moment of force, often called torque, is the product of a force on an object and the distance from the reference point to the object.

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