Q.

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:

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a

2/3

b

1/2

c

1/4

d

1/8

answer is C.

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Detailed Solution

MOI through O=I0=112 ma2+b2 ​MOI through O'= I0'=13 ma2+b2    ​∴    I0I0'=11213=14
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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: