(B) The moment of inertia for the given objects about their geometrical axes are as follows:$1$. For a solid sphere: $I_1 = \frac{2}{5}MR^2 = 0.4MR^2$

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(B) The moment of inertia for the given objects about their geometrical axes are as follows:$1$. For a solid sphere: $I_1 = \frac{2}{5}MR^2 = 0.4MR^2$$2$. For a hollow sphere: $I_2 = \frac{2}{3}MR^2 \approx 0.67MR^2$$3$. For a ring: $I_3 = MR^2 = 1.0MR^2$Comparing the coefficients: $1.0 > 0.67 > 0.4$.Therefore,$I_3 > I_2 > I_1$.

Class 11 Physics System of Particles and Rotational Motion Moment of Inertia and Radius of gyration

Medium

If $I_1, I_2$ and $I_3$ are moments of inertia of a solid sphere,a hollow sphere,and a ring of the same mass $M$ and radius $R$ about their respective geometrical axes,which of the following statements holds true?

A
$I_1 > I_2 > I_3$
B
$I_3 > I_2 > I_1$
C
$I_2 > I_1 > I_3$
D
$I_2 > I_3 > I_1$

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System of Particles and Rotational Motion

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Moment of Inertia and Radius of gyration

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If $I_1, I_2$ and $I_3$ are moments of inertia of a solid sphere,a hollow sphere,and a ring of the same mass $M$ and radius $R$ about their respective geometrical axes,which of the following statements holds true?

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