Figure shows a uniform solid block of mass M and edge lengths a, b and c. Its moment of inertia about an axis through one edge and perpendicular (as shown) to the large face of the block is :
Answer & explanation
Correct answer: option 1
(Moment of Inertia)CG : I
\(I_{CG} = M\frac{a^ + b^2}{12}\)
According to the theorem of parallel axis :
(Moment of Inertia)required axis : I
\(I = I_{CG} + M(OA)^2\)
= \(M(\frac{a^2 + b^2}{12}) + M(\frac{a^2 + b^2}{4})\)
= \(M(\frac{a^2 + b^2}{3})\)