A circular disc is to be made by using iron and aluminium so that it possesses maximum moment of inertia about its geometrical axis. It is possible with :
A
Aluminium at the interior and iron surrounding it
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B
Iron at interior surrounded by aluminium
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C
Using iron and aluminium layers in alternate order
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D
Sheet of iron is used at both external surfaces and aluminium as an interior layer
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Solution
The correct option is A Aluminium at the interior and iron surrounding it ⇒ The moment of inertia of a system depends on the mass distribution with respect to the geometrical axis. I=mr2 r→ Perpendicular distance from the axis.
Iron is much denser than aluminium. Thus to have the maximum moment of interia, material having higher density should be placed farther from the rotational axis, such that r↑ and ultimately I↑