A 6.0 - m long rod has a mass of 1⁄3kg. Its moment of inertia from...

A 6.0 - m long rod has a mass of 1⁄3kg. Its moment of inertia from an axis at one of its end is (in kg. m2)

Expert Solution

If body is assume to be continuous, then one can use the technique of integration to obtain the moment of inertia of the body about given axis or line. The elements should be choosen that the perpendicular from different points of element to given line differ only infinitesimal amounts... Please comment if you have any doubts..

genius_generous answered 3 months ago

moment of inertia of a rod

Starting with the formula for the moment of inertia of a rod rotated around an axis through one end perpendicular to its length (I=M ℓ² / 3), prove that the moment of inertia of a rod rotated about an axis through its center perpendicular to its length is I=M ℓ² / 12. You will find the graphics in Figure 10.12 useful in visualizing these rotations.

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