For a uniform rectangular sheet shown in the figure, the ratio of moments of inertia about the axes perpendicular to the sheet and passing through O (the centre of mass) and O' (corner point) is:

Option 1 - 1/2

Option 2 - 2/3

Option 3 - 1/4

Option 4 - 1/8

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Vishal Baghel | Contributor-Level 10

5 months ago

Correct Option - 3

Detailed Solution:

l? = 0.6M
l? = 0.8M
√l? ² + l? ² = 1
MI about 0 = M/12 (l? ² + l? ²)
I? = M/12

MI about O' = M/12 (l? ² + l? ²) + M (l? ²+l? ²)/4
I? = M/12 + M/4 = (4m)/12; I? /I? = 1/4

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