Question

Moment of inertia of circular loop of radius r about the axis of rotation parallel to horizontal diameter at a distance r/2 from it is?

Answer 1

Final Answer: 3MR^2 / 4

Steps :
1) Find I (CM) about the axis of rotation in plane of Loop passing through diameter.

2) Use Parallel axis theorem to find Moment of Inertia at r/2 from it.

For Calculation see Pic.

Answer 2

Answer -  moment of intertia of a circular loop of radius r about the axis given in fig is 3/4 mr^2