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The moment of inertia is a physical property of an object that describes its resistance to rotational motion. It is defined as the sum of the products of the mass of each particle in the object and the square of its distance from the axis of rotation.
The moment of inertia can be calculated using the formula I = Σmr², where I is the moment of inertia, m is the mass of the particle, and r is the distance of the particle from the axis of rotation.
The moment of inertia is a measure of an object's resistance to rotational motion, while the moment of force is a measure of the tendency of a force to cause rotational motion. They are both related to rotational motion, but they have different physical meanings.
The moment of inertia determines how an object will respond to a given torque or force applied to it. Objects with a larger moment of inertia will be harder to rotate, while objects with a smaller moment of inertia will be easier to rotate.
The moment of inertia depends on the mass and distribution of mass in the object, as well as the axis of rotation. The shape and size of the object also play a role in determining the moment of inertia.