Which of the following has the largest moment | vedclass

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(A) The moment of inertia $(I)$ depends on the distribution of mass relative to the axis of rotation.For a circular ring of mass $m$ and radius $R$ ab

Vedclass · Accepted Answer

Moment of inertia of a circular ring about an axis perpendicular to its plane.

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(A) The moment of inertia $(I)$ depends on the distribution of mass relative to the axis of rotation.For a circular ring of mass $m$ and radius $R$ about an axis perpendicular to its plane,$I = mR^2$.For a disc of mass $m$ and radius $R$ about an axis perpendicular to its plane,$I = \frac{1}{2}mR^2$.For a solid sphere of mass $m$ and radius $R$ about its diameter,$I = \frac{2}{5}mR^2$.For a rod of mass $m$ and length $L$ about its center,$I = \frac{1}{12}mL^2$.Comparing these,the ring has the largest moment of inertia because all its mass is concentrated at the maximum distance $R$ from the axis.

Which of the following has the largest moment of inertia?

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