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PhysicsRotationCalculation of M.I.Medium2 minPYQ_2019

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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 diagram: The moment of inertial of a solid sphere, about an axis para

Options:

Answer:

Solution:

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

Stream:JEESubject:PhysicsTopic:RotationSubtopic:Calculation of M.I.

⏱ 2mℹ️ Source: PYQ_2019

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