A circular disc is made using iron and alumin | vedclass

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(A) The moment of inertia $I$ of a circular disc about its geometric axis is given by $I = \int r^2 dm$. To maximize the moment of inertia for a fixed

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Aluminum on the inside and iron on the outside

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(A) The moment of inertia $I$ of a circular disc about its geometric axis is given by $I = \int r^2 dm$. To maximize the moment of inertia for a fixed total mass,we need to place the maximum possible mass at the largest possible distance $r$ from the axis of rotation. Since iron is denser than aluminum,placing iron at the outer rim (the largest radius) increases the mass distribution at a greater distance from the axis. Therefore,placing iron on the outside and aluminum on the inside maximizes the moment of inertia.

$A$ circular disc is made using iron and aluminum. To maximize the moment of inertia about its geometric axis,which configuration is preferred?

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