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Questions  

Fig. shows a uniform solid block of mass M and 

edge length a, b and c. The moment of inertia of the  block about an axis through one edge and perpendicular (as shown) to the large face is

a
M3a2+b2
b
M4a2+b2
c
7M12a2+b2
d
M12a2+b2

detailed solution

Correct option is A

The moment of inertia about centre of gravity is given byIC.G.=Ma2+b212To obtain the moment of inertia about the required axis, we apply the theorem of parallel axes, henceIrequired axis =IC.G.+M(OA)2=Ma2+b212+Ma2+b24=Ma2+b23

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