Question

Consider a uniform square plate of of side and mass `m`. The moment of inertia of this plate about an axis perpendicular to its plane and passing through one of its corners is -
A. `(5)/(6) ma^(2)`
B. `(1)/(12) ma^(2)`
C. `(7)/(12) ma^(2)`
D. `(2)/(3) ma^(2)`

Answer 1

Correct Answer - D
`I_(A) = I_(CM) + m ((a)/(sqrt(2))^(2))`
=`(ma^(2))/(6) + (ma^(2))/(2)`
=`(2)/(3) ma^(2)`.
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