![]() ![]() Suppose they have the same weight, which means they have equal mass. The further out the object's mass is, the more rotational inertia the object has, and the more rotational force (torque, the force multiplied by its distance from the axis of rotation) is required to change its rotation rate.įor example, consider two wheels suspended so they can turn freely, a large bicycle wheel and a small baby buggy wheel. Therefore, it encompasses not just how much mass the object has overall, but how far each bit of mass is from the axis. ![]() The moment of inertia of an object about a given axis describes how difficult it is to change its angular motion about that axis. Spinning figure skater pulling in her arms, reducing her moment of inertia, to rotate faster In this book, he discussed the moment of inertia and many related concepts, such as the principal axis of inertia. The concept was introduced by Leonhard Euler in his book Theoria motus corporum solidorum seu rigidorum in 1765. ![]() While a simple scalar treatment of the moment of inertia suffices for many situations, a more advanced tensor treatment allows the analysis of such complicated systems as spinning tops and gyroscopic motion. The symbols I and sometimes J are usually used to refer to the moment of inertia or polar moment of inertia. The moment of inertia plays much the same role in rotational dynamics as mass does in linear dynamics, describing the relationship between angular momentum and angular velocity, torque and angular acceleration, and several other quantities. It is the inertia of a rotating body with respect to its rotation. m²) is a measure of an object's resistance to changes to its rotation.In classical mechanics, moment of inertia, also called mass moment of inertia, rotational inertia, polar moment of inertia of mass, or the angular mass, (SI units kg ![]()
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