Torque moment of inertia of a circle3/31/2024 Where integration takes place over the entire volume V of the body.Īlthough integration is not always an easy task, there are many ready-made formulas for the moment of inertia of specific solids. However, for bodies with a constant distribution of mass, the summation in the above formula becomes an integral: ri is the distance of i-th material point from the axis of rotation.It sums all components from i = 1 to i = n, If you consider a body consisting of n material points, then the total moment of inertia is simply the sum of their moments of inertia: It can be expressed with the following moment of inertia equation: The moment of inertia I of a material point is the product of its mass m and the square of the distance r from the axis of rotation.
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