Consider two uniform discs of the same thickness and different radii R1 = R and R2 = αR made of the same material.
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18/09/2020 6:00 pm
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Consider two uniform discs of the same thickness and different radii R1 = R and R2 = αR made of the same material. If the ratio of their moments of inertia I1 and I2 respectively, about their axes is I1 : I2 = 1 : 16 then the value of α is :
(1) 2
(2) 4
(3) 2√2
(4) 2
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18/09/2020 6:05 pm
(1) 2
Explanation:
Moment of inertia of disc is given by I = MR2/2 = [ρ(πR2)t]R2
I ∝ R4
I1 / I2 = (R2/R4)4
16/1 = α4
α = 2
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