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moment of inertia of cone????? way to find it

moment of inertia of cone?????


way to find it

Grade:12

1 Answers

Komal
askIITians Faculty 747 Points
6 years ago
Inphysicsandapplied mathematics, the massmoment of inertia, usually denoted byI, measures the extent to which an object resists rotational acceleration about a particular axis, and is the rotational analogue to mass. Mass moments of inertia haveunitsofdimensionML2([mass] × [length]2). It should not be confused with thesecond moment of area, which is used in bending calculations. The mass moment of inertia is often also known as the rotational inertia, and sometimes as the angular mass.

For simple objects with geometric symmetry, one can often determine the moment of inertia in an exactclosed-form expression. Typically this occurs when themass densityis constant, but in some cases the density can vary throughout the object as well. In general, it may not be straightforward to symbolically express the moment of inertia of shapes with more complicated mass distributions and lacking symmetry. When calculating moments of inertia, it is useful to remember that it is an additive function and exploit theparallel axisandperpendicular axis theorems.

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