# The moment of inertia of a disc about its geometrical axis is I. then its M.I. about its diameter will be Option 1) I Option 2) 2I Option 3) $\frac{I}{2}$ Option 4) $\frac{I}{4}$

V Vakul

Moment of inertia for system of particle -

$\dpi{100} I= m_{1}r_{1}^{2}+m_{2}r_{2}^{2}+.........m_{n}r_{n}^{2}$

$\dpi{100} = \sum_{i=1}^{n}\: m_{i}r_{i}^{2}$

- wherein

Applied when masses are placed discretely.

Option 1)

I

Incorrect

Option 2)

2I

Incorrect

Option 3)

$\frac{I}{2}$

correct

Option 4)

$\frac{I}{4}$

Incorrect

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