Q.

Illustrated below is a uniform cubical block of mass M and side a. Mark the correct statement(s).

Moderate

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By Expert Faculty of Sri Chaitanya

a

The moment of inertia about axis A, passing through the centre of mass is IA=16Ma2.

b

The moment of inertia about axis B, which bisects one of the cube faces is IB=512Ma2.

c

The moment of inertia about axis C, along one of the cube edges is IC=23Ma2.

d

The moment of inertia about axis D, which bisects one of the horizontal cube faces is 712.

answer is 1,2,3.

(Detailed Solution Below)

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Detailed Solution

Parallel axis theorem, check the distance carefully.ID=IB (symmetric)IB=IA+Ma22=Ma26+Ma24=512Ma2IC=IA+Ma22=23Ma2
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