Let be the moment of inertia of a uniform plate about an axis that passes through its centre and is parallel to two of its sides. is a line in the plane of the plate that passes through the centre of the plate and makes an angle with . The moment of inertia of the plate about the axis is then equal to |
|||||||

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

Let be the moment of inertia of a uniform plate about an axis that passes through its centre and is parallel to two of its sides. is a line in the plane of the plate that passes through the centre of the plate and makes an angle with . The moment of inertia of the plate about the axis is then equal to |
|||||||

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

1 Answer

127 votes

**(a)**

and

From symmetry, and

From theorem of perpendicular axis,

**Alternative method**:

The relation between and should be true for all values of

At

Similarly, at

(By symmetry)

Keeping these things in mind. Only option (a) is correct

127 votes

127