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Inertia

Let I1 an I2 ...

Question

Let I₁ an I₂ be the moments of inertia of two bodies of identical geometrical shape, the first made of aluminium and the second of iron.
(a) I₁ < I₂
(b) I₁ = I₂
(c) I₁ > I₂
(d) relation between I₁ and I₂ depends on the actual shapes of the bodies.

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Solution

(a) I₁ < I₂

In the given case, we have:
MOI $\propto$ Density
The density of iron is more; therefore, I₂ will be greater.

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