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Q.

Find the moment of inertia of a uniform hollow cube of mass M and side length a about an axis passing through the centre of two opposite faces :

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a

5Ma23

b

7Ma23

c

5Ma218

d

2Ma23

answer is C.

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Detailed Solution

Let mass of each face be equal to mm=M/6

I=2×ma26+4×{ma212+m(a2)2}

=ma23+ma23+ma21

ma2+ma2+3ma23=5ma23I=5×M6a23=5Ma218

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