Consider two uniform discs of the same thickness and different radii R 1 = R and R 2 = α R made of the same material. If the ratio of their moments of inertia I 1 and I 2 , respectively, about their axes is I 1 : I 2 = 1 : 16 then the value of α is :

Question

Consider two uniform discs of the same thickness and different radii R 1 = R and R 2 = &#945; R made of the same material. If the ratio of their moments of inertia I 1 and I 2 , respectively, about their axes is I 1 : I 2 = 1 : 16 then the value of &#945; is :

Aicharya · Accepted Answer

Moment of inertia of disc is given by I = MR 2 2 = &#961; &#960;R 2 t R 2 2 I &#160; &#945; &#160; R 4 I 2 I 1 = R 2 R 1 4 16 1 = &#945; 4 &#945; = 2

Consider two uniform discs of the same thickness and different radii R 1 = R and R 2 = α R made of the…

Solution

Consider two uniform discs of the same thickness and different radii R 1 = R and R 2 = &#945; R made of the…

Solution

Consider two uniform discs of the same thickness and different radii R 1 = R and R 2 = α R made of the…