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)

Question ID - 100737 :-

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

5876 Votes

3537

Answer Key : (a) -

(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

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