Question

the m.i of a thin rod of length l about the perpendicular axis through its center is I. the m.i of the square structure made by four such rods about a perpendicular axis to the plane and through the centre will be​

Answer 1

Answer:

16 I is the answer

Explanation:

Given Moment of inertia (MOI) , I=

12

1

ml

2

⇒ml

2

=12I

Using parallel axis theorem of moment, I=I

cm

+mx

2

, Where I

cm

is MOI about centre of mass and x is the distance between centre of mass and axis of rotation.

∴ Net MOI =4(

12

1

ml

2

+m(

2

l

)

2

)=

3

4

ml

2

=16I