Moment of inertia of a uniform circular disc about a diameter is I. Its moment o

Question

Moment of inertia of a uniform circular disc about a diameter is I. Its moment of inertia about an axis perpendicular to its plane and passing through a point on its rim will be

Options:

A . 5 l

B . 6 l

C . 3 l

D . 4 I

Answer: Option B
:
B
Moment of inertia of disc about a diameter

= \frac{1}{4} M R^{2} = I

(given)

∴ M R^{2} = 4 I

Now moment of inertia of disc about an axis perpendicular to its plane and passing through a point on its rim

= \frac{3}{2} M R^{2} = \frac{3}{2} (4 I) = 6 I .

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