If the temperature of a uniform rod is slightly increased by ∆t, its moment of inertia I about a line parallel to itself will increase by

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KollegeApply · Accepted Answer

2αI∆t The moment of inertia of a solid body of any shape changes with temperature as I′ = I (1+2∝Δt) Here, I = initial moment of inertia I' = new moment of inertia due to change in temperature ∝ = expansion coefficient Δt = change in temperature So, I′ - I = 2∝IΔt

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