Question

Consider a uniform square plate of side ‘a’ 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
(1) 4/6 ma2
(2) 3/4 ma2
(3) 2/3 ma2
(4) 1/5 ma2

Answer 1

Answer:

The moment of inertia of square plate about an axis through its centre of mass passing perpendicular to the plane is given by I

CM

=ma

2

/6

The moment of inertia about parallel axis through one corner O is given by,

I=I

CM

+m(a/

2

)

2

∴I=ma

2

/6+ma

2

/2=(2/3)ma

2

Hence correct option is D.

Explanation:

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