The moment of inertial 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?

Question

The moment of inertial of a solid sphere, about an axis parallel to its diameter and at a distance of x from it, is &#8242; I x &#8242; . Which one of the graphs represents the variation of I ( x ) with x correctly?

Aicharya · Accepted Answer

we know that by se the parallel axis theorem :-

Moment of inertia about a point which is parallel of the axis and at a distance of X given as

$I_{x} = I_{c m} + m x^{2}$

$I_{x} = \frac{2}{5} m R^{2} + m x^{2} \Rightarrow$ Parabola opening upward

The moment of inertial of a solid sphere, about an axis parallel to its diameter and at a distance of x from…

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