The moment of inertia of a thin square plate . Figure of uniform thickness about on axis passing through the centre and perpendicular to the plane is

a) |
b) |
c) |
d) |

The moment of inertia of a thin square plate . Figure of uniform thickness about on axis passing through the centre and perpendicular to the plane is

a) |
b) |
c) |
d) |

1 Answer

127 votes

**(a,b,c)**

To find the moment of inertia of about an axis passing through centre and perpendicular to the plane of the plate, we use perpendicular axis theorem. If we consider to be in the plane, then we know that

(i)

Also (ii)

Adding Eqs. (i) and (ii), we get

But and (by symmetry)

127 votes

127