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Moment of Inertia Physics System of Particles and Rotational Motion Physics Class 11th

Consider two uniform discs of the same thickness and different radii R₁ = R and R₂ = aR 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 a is:

Option 1 -

Option 2 -

√2

Option 3 -

Option 4 -

2√2

7 Views | Posted a month ago

Asked by Shiksha User

1 Answer

Answered by

Vishal Baghel | Contributor-Level 10

a month ago

Correct Option - 1

Detailed Solution:

I? ∝ R? ² & I? ∝ R? ²
I? /I? = (R? /R? ) ² = 1/α² = 1/16
α = 4

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Consider two uniform discs of the same thickness and different radii R₁ = R and R₂ = aR 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 a is:

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