Question

3.Moment of inertia of a rod of length l and mass m about an axis passing through its centre of mass and perpendicular to its plane is ml^2/12.Its moment of inertia about an axis passing through one of its end and parallel to the axis which is passing through its centre of mass is ;​

Answer 1

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 theorem. I

e

=I

c

+M(

2

L

)

2

I=

12

1

ML

2

+M(

2

L

)

2

=

3

1

ML

2

moment of inertia at edge is

3

1

ML

2

Have a nice day mate ❤️