Question

Two solid spheres of same material have radii R and 2 R. Then
ratio of their moment of inertia about their tangents will be?
​

Answer 1

Answer:1:32

Explanation:Let the density of sphere be ρ

Now for the bigger sphere let the radius be 2R,

M  

1

​  

=  

3

4π(2R)  

3

 

​  

 

Now for smaller sphere let the radius be R , M  

2

​  

=  

3

4π(R)  

3

 

​  

,

So M  

1

​  

=8M  

2

​  

 

Moment of inertia of bigger sphere I  

1

​  

=  

5

2M  

1

​  

(2R)  

2

 

​  

   

Moment of inertia of smaller sphere I  

2

​  

=  

5

2M  

2

​  

(R)  

2

 

​  

 

So  

I  

1

​  

 

I  

2

​  

 

​  

=1:32