Question

Calculate the moment of inertia of a rod of mass M, and length l about an axis perpendicular to it passing through one of its ends.

Answer 1

Answer:

Explanation:

Given,

Mass of rod =M  

Length of Rod =L

Distance of rods edge from center =  

2

L

​  

 

Moment of inertia of rod at center I  

c

​  

=  

12

1

​  

ML  

2

 

For moment of inertia at edge apply parallel axis theoremGiven,

Mass of rod =M  

Length of Rod =L

Distance of rods edge from center =  

2

L

​  

 

Moment of inertia of rod at center I  

c

​  

=  

12

1

​  

ML  

2

 

For moment of inertia at edge apply parallel axis theorem

moment of inertia at the end

= ML^2/3