Forum

Consider two unifor...
 
Notifications
Clear all

Consider two uniform discs of the same thickness and different radii R1 = R and R2 = αR made of the same material.

1 Posts
2 Users
0 Likes
1,053 Views
0
Topic starter

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

1 Answer
0

(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

Share:

How Can We Help?