First slide

Moment of intertia

Question

The moment of inertia of a uniform circular disc is maximum about an axis perpendicular to the disc and passing through

Moderate

A

B
B

C
C

D
D

A

Solution

Moment of inertia of circular disc = $\frac{1}{2} {mR}^{2}$ .
M.I. about any axis perpendicular to plane is
$I = I_{cm} + {md}^{2}$
d is the distance of between the centre and the point of consideration
Thus, as the distance between the centre and the point increases, the moment of inertia increases.

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