The uniform solid block shown in figure has mass M and edge dimensions a, b, and c. Calculate its rotational
inertia about an axis passing through one corner and perpendicular to the large faces.
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We know that Moment of Inertia of plate passing through 'O' is
Ix = Ma²/12
Iy = Mb²/12
Now by perpendicular axis theorm
Iz = Ma²/12 + Mb²/12
The distance of edge and the center is
So by parallel axis theorm,
On putting d we get the moment of inertia passing through one corner and perpendicular to the large faces is
Note :- source of attachment is Google.
____________________________
Brainly Extra Knowledge :
- The ability of body to resist the angular motion is measured in terms of the moment of inertia.
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