Imagine you have an object with an adjustable mass distribution and multiple axe

Question

Imagine you have an object with an adjustable mass distribution and multiple axes of rotation. If you want to minimize its moment of inertia, what configuration should you choose? A. axis through the center of mass, mass as close to the axis as possible B. axis through the center of mass, mass as far from the axis as possible C. axis through one end, mass as close to the axis as possible D. axis through one end, mass as far from the axis as possible Imagine you have an object with an adjustable mass distribution and multiple axes of rotation. If you want to minimize its moment of inertia, what configuration should you choose? A. axis through the center of mass, mass as close to the axis as possible B. axis through the center of mass, mass as far from the axis as possible C. axis through one end, mass as close to the axis as possible D. axis through one end, mass as far from the axis as possible

Explanation / Answer

to minimize the moment of inertia, the axis must pass through the cenre of mass. And while calculating the moment of inertia, we take the sum of mr2 of all small elements. this will be minimum when r of every elemet is minimum. so mass should be as close to the axis as possible.

Hence (A) is the correct option of both questions since both the questions are the same

Note: to maximise the moment of inertia, axis through one end and mass as far as possible from the axis.

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