question_answer

Consider a thin uniform square sheet made of a rigid material. If its side is 'a', mass m and moment of inertia I about one of its diagonals, then:                                                                          [JEE ONLINE 10-04-2015]

A)  \[I=\frac{m{{a}^{2}}}{12}\]

B)       \[I>\frac{m{{a}^{2}}}{12}\]

C)  \[I=\frac{m{{a}^{2}}}{24}\]  

D)       \[\frac{m{{a}^{2}}}{24}<I<\frac{m{{a}^{2}}}{12}\]

Correct Answer: A

Solution :

[a] Using perpendicular axis theorem.