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Q.

The moment of inertia of a solid sphere about an axis parallel to its diameter and at a distance of x from it is $I (x) .$ Which one of the graphs represents the variation of $I (x)$ with x correctly?

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a

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b

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c

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d

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answer is B.

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Detailed Solution

$\begin{array}{l} I_{x} = I_{c m} + m x^{2} \\ I = \frac{2}{5} m R^{2} + m x^{2} = P a r a b o l a o p e n i n g u p w a r d \end{array}$

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The moment of inertia of a solid sphere about an axis parallel to its diameter and at a distance of x from it is I(x). Which one of the graphs represents the variation of I(x) with x correctly?